Technical Reports

 

2018 Technical Reports

Technical Report 2018-1 [ File ]

A new look at clustering coefficients with generalization to weighted and multi-faction networks
Berenhaut, K. S., Kotsonis, R. C.** and Jiang, H.**
Social Networks, 52, 201-212.

Technical Report 2018-2 [ Request File ]

Trust-Region Algorithms for Training Responses: Machine Learning Methods Using Indefinite Hessian Approximations
Jennifer B. Erway, Joshua Griffin, Roummel F. Marcia, and Riadh Omheni
status: submitted

 

2017 Technical Reports

Technical Report 2017-1 [ Request File ]

DENSE INITIALIZATIONS FOR LIMITED-MEMORY QUASI-NEWTON METHODS
JOHANNES BRUST, OLEG BURDAKOV, JENNIFER B. ERWAY, AND ROUMMEL F. MARCIA
Status: submitted.

Technical Report 2017-2 [ Request File ]

Trust-Region Optimization Methods using Limited-Memory Symmetric Rank-One Updates for Off-The-Shelf Machine Learning
JENNIFER B. ERWAY, JOSHUA GRIFFIN, RIADH OMHENI, AND ROUMMEL F. MARCIA
Status: submitted.

Technical Report 2017-3 [ File ]

The friendship paradox for weighted and directed networks, Probability in the Engineering and Informational Sciences
Berenhaut, K. S and Jiang, H.**
In press.

 

2016 Technical Reports

Technical Report 2016-1 [ Request File ]

Limited-memory trust-region methods for sparse relaxation
Lasith Adhikari, Jennifer Erway, Shelby Lockhart, and Roummel Marcia
Status: submitted.

Technical Report 2016-2 [ Request File ]

Shape-Changing L-SR1 Trust-Region Methods
JOHANNES BRUST, OLEG BURDAKOV, JENNIFER B. ERWAY, ROUMMEL F. MARCIA, and YA-XIANG YUAN
Status: submitted.

Technical Report 2016-3 [ Request File ]

Trust-Region Methods for Nonconvex Poisson Intensity Recovery Optimization
Lasith Adhikari, Jennifer B. Erway, and Roummel F. Marcia
Status: submitted.

Technical Report 2016-4 [ Request File ]

Compact representation of the full Broyden class of quasi-Newton updates
Omar DeGuchy, Jennifer B. Erway, and Roummel F. Marcia
Status: submitted.

 

2015 Technical Reports

Technical Report 2015-1 [ Request File ]

Orthonormal basis SR1 trust-region methods
Johannes Brust, Jennifer B. Erway, and Roummel F. Marcia
Status: submitted.

Technical Report 2015-2 [ Request File ]

On solving limited-memory quasi-Newton equations
Jennifer B. Erway and Roummel F. Marcia
Status: submitted.

Technical Report 2015-3 [ Link ]

Noncommutative Complete Isolated Singularities
Lyle, Justin Lee (Master’s Thesis)

Technical Report 2015-4 [ Link ]

Class Field Theory and the Study of n-Fermat Primes
Kobin, Andrew Jon (Master’s Thesis)

Technical Report 2015-5 [ Link ]

The Complete and Elementary Symmetric Functions as Quotients of Determinants
Kuykendall, Kelly (Master’s Thesis)

Technical Report 2015-6 [ Link ]

Quadratic Forms Representing All Integers Coprime to 3
DeBenedetto, Justin Donald (Master’s Thesis)

Technical Report 2015-7 [ Link ]

Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients
Schreiber, Amelie (Master’s Thesis)

 

2014 Technical Reports

Technical Report 2014-1 [ Link ]

GENERALIZATIONS AND VARIATIONS ON GRAPH PEBBLING [Master’s Thesis]
JOEL A. BARNETT (Sarah Mason, Ph.D., Advisor)

Technical Report 2014-2 [ Link ]

SOME RESULTS ON PERIODICITIES FOR MIN-MAX RECURSIVE SEQUENCES [Master’s Thesis]
HEATHER M. GADDY (Kenneth S. Berenhaut, Ph.D., Advisor)

Technical Report 2014-3 [ Link ]

A TRANSPORT REDUNDANCY APPROACH TO SPATIAL CLUSTERING [Master’s Thesis]
MINGYUE GAO (Kenneth Berenhaut, Ph.D., Advisor)

Technical Report 2014-4 [ Link ]

ON THE STABILITY OF SOLUTIONS TO A PHASE TRANSITION MODEL  [Master’s Thesis]
HEATHER HARDEMAN (Stephen Robinson, Ph.D., Advisor)

Technical Report 2014-5 [ Link ]

DIMENSION THEORY [Master’s Thesis]
DANIELLE WALSH (Sarah Raynor, Ph.D., Advisor)

Technical Report 2014-6 [ Request File ]

On efficiently computing the eigenvalues of limited-memory quasi-Newton matrices
Authors: Jennifer B. Erway and Roummel F. Marcia

 

2013 Technical Reports

Technical Report 2013-1 [ Link ]

Links and Planar Diagram Codes.
Matt Mastin
Submitted.

Technical Report 2013-2 [ Request file ]

An Enhanced Prime Decomposition Theorem for Knots.
Matt Mastin
In Progress.

Technical Report 2013-3 [ Link ]

DERIVATIVE FORMULAS FOR GENERALIZED SRB MEASURE, ENTROPY, AND HAUSDORFF DIMENSION OF HYPERBOLIC SYSTEMS OF CODIMENSION ONE
MIAOHUA JIANG
October 7, 2013. 2000 MSC 37D20 37D35 37C40.

Technical Report 2013-4 [ Link ]

ACHIEVING FAIR DISTRIBUTION WITH CHOICE [Master’s Thesis]
KATY BEELER (Kenneth Berenhaut, Ph.D., Advisor)

Technical Report 2013-5 [ Link ]

PROBABILISTIC FINITE MIXTURE CLUSTERING OF GENETIC EXPRESSION MICROARRAY DATA [Master’s Thesis]
IXAVIER ALONZO HIGGINS (James Norris, Ph.D., Advisor)

Technical Report 2013-6 [ Link ]

ANALYSIS TECHNIQUES FOR IDENTIFYING LIGHT TOUCH IN HUMAN GAIT [Master’s Thesis]
JOSEPH S. PAAT (Kenneth S. Berenhaut, Ph.D., Advisor)

Technical Report 2013-7 [ Link ]

ON THE EXISTENCE OF KNOTS AND LINKS IN THE COMPLETE DIRECTED GRAPH ON SIX VERTICES [Master’s Thesis]
NATALIE ROSE RICH (Hugh Howards, Ph.D., Advisor)

Technical Report 2013-8 [ Link ]

HODGERANK: APPLYING COMBINATORIAL HODGE THEORY TO SPORTS RANKING [Master’s Thesis]
ROBERT K SIZEMORE (R. Jason Parsley, Ph.D., Advisor)

Technical Report 2013-9 [ Link ]

A COMBINATORIAL VIEW OF WEIGHTED VOTING [Master’s Thesis]
KARA STASIKELIS (Sarah Mason, Ph.D., Advisor)

Technical Report 2013-10 [ Link ]

THE EFFECTIVE SATO-TATE CONJECTURE AND DENSITIES PERTAINING TO LEHMER-TYPE QUESTIONS [Master’s Thesis]
JESSE THORNER (Jeremy A. Rouse, Ph.D., Advisor)

Technical Report 2013-11 [ Link ]

RANDOM WALKS WITH PHEROMONE [Master’s Thesis]
SHUOWEN WEI (Kenneth Berenhaut, Ph.D., Advisor)

Technical Report 2013-12 [ Link ]

MULTIPLE-SPECIES MODELS FOR TRUE ABUNDANCES ALLOWING FOR HETEROGENEITY OF CAPTURE BETWEEN AND WITHIN SPECIES [Master’s Thesis]
KARI C. DIXON (James L. Norris, Ph.D., Advisor)

 

2012 Technical Reports

Technical Report 2012-1 [ PDF file ]

On the existence of multiple positive solutions to some superlinear systems
M. Chhetri, S. Raynor and S. Robinson
Proceedings of the Royal Society of Edinburgh, 142A, 39–59, 2012

Technical Report 2012-2 [ PDF file ]

Analysis of a Co-Epidemic Model
Quinn Morris
SIAM Undergraduate Research Online (SIURO)

Technical Report 2012-3 [ Request file ]

Quasi-Newton Methods for the Trust-Region
Jennifer B. Erway
in preparation.

Technical Report 2012-4 [ Request file ]

K2 factors of Koszul algebras and applications to face rings
Andrew Conner and Brad Shelton
Journal of Algebra (2012), pp. 251-270

Technical Report 2012-5 [ Request file ]

MSS: MATLAB software for L-BFGS trust-region subproblems for large-scale optimization
Jennifer B. Erway and Roummel F. Marcia
2012, submitted.

Technical Report 2012-6 [ Request file ]

Shifted L-BFGS systems
Jennifer B. Erway, Vibhor Jain, and Roummel F. Marcia
2012, submitted.

Technical Report 2012-7 [ Request file ]

Power of food moderates, food craving, perceived control, and brain networks following a short-term post-absorptive state in older adults.
J. Norris, W. J. Rejeski, J. Burdette, M. Burns, A. R. Morgan, S. Hayasaka, D. Williamson, P. J. Laurienti
Appetite, 48 (3) June (2012) with

Technical Report 2012-8 [ Request file ]

Bayesian probabilistic network modeling of multiple replicates.
J. Norris, D. J. John and K. L. Patton.
BMC Bioinformatics (2012) 13 (Supplement 9) 1-13, with

Technical Report 2012-9 [ Request file ]

Influence of weight loss, body composition, and lifestyle behaviors on plasma adipokines.
J. Norris, G. Miller, G. Muday.
Journal of Obesity (2012) Article ID /08505

Technical Report 2012-10 [ Link ]

The Invariant Theory of K_(-1)[X^I] Under Permutation Representations
J. CAMERON ATKINS (Ellen Kirkman, Ph.D.,  Advisor)

Technical Report 2012-11 [ Link ]

Rectification of Composition Tableaux
MELISSA K. BECHARD (Sarah, K. Mason, Ph.D., Advisor)

Technical Report 2012-12 [ Link ]

Two-Component Link Symmetries
JAMES CORNISH (Jason Parsley, Ph.D., Advisor)

Technical Report 2012-13 [ Link ]

The Z-densities of the Fibonacci Sequence
PAUL CUBRE (Jeremy Rouse, Ph.D., Advisor)

Technical Report 2012-14 [ Link ]

SOLUTIONS OF THE CUBIC FERMAT EQUATION IN QUADRATIC FIELDS
MARVIN JONES (Jeremy A. Rouse, Ph.D., Advisor)

Technical Report 2012-15 [ Link ]

Resonance Problems of the Fucik Spectrum Using Variational Methods
QUINN A. MORRIS (Stephen B. Robinson, Ph.D., Advisor)

Technical Report 2012-16 [ Link ]

OBSERVING WAVE PROPAGATION OF A FLOAT SERVE ON A VOLLEYBALL
KATHERINE NOVACEK (Jason Parsley, Ph.D., Advisor)

Technical Report 2012-17 [ Link ]

RANDOM PROJECTION AND SVD METHODS IN HYPERSPECTRAL IMAGING
JIANI ZHANG (Jennifer Erway, Ph.D., and Robert Plemmons, Ph.D., Co-advisors)

Technical Report 2012-18 [ Link ]

STATISTICAL SELF-SIMILARITY IN TIME SERIES FROM FINANCIAL DATA & CHAOTIC DYNAMICAL SYSTEMS
PANPAN ZHANG (Miaohua Jiang, Ph.D., Advisor)

2011 Technical Reports

Technical Report 2011-1 [ PDF file ]

Predicting Epidemics using a Network Model
Roumen Iordanov
Senior Honors Thesis

Technical Report 2011-2 [ Link ]

Barrier Methods for Critical Exponent Problems in Geometric Analysis and Mathematical Physics
Jennifer B. Erway and Michael Holst
Submitted

Technical Report 2011-3 [ Link ]

Dimensions of Self-Similar Fractals
Melissa Ann Glass
Master’s Thesis under the direction of Dr. Sarah Raynor

Technical Report 2011-4 [ PDF file ]

On the Fredholm Alternative for the Fucik Spectrum
Pavel Drabek and Stephen B. Robinson
Abstract and Applied Analysis, Volume 2010, Article ID 125464, 20 pages

Technical Report 2011-5 [ PDF file ]

Continua of local minimizers in a non-smooth model of phase transitions
Pavel Drabek and Stephen B. Robinson
Z. Angew. Math. Phys. 62 (2011), 609–622

Technical Report 2011-6 [ Request file ]

The partition function modulo prime powers.
Matthew Boylan and John J. Webb Trans.
Amer. Math. Soc., accepted for publication

Technical Report 2011-7 [ Request file ]

Quasi-Newton methods for the trust-region step
Jennifer B. Erway

Technical Report 2011-8 [ Request file ]

Limited-memory BFGS systems with diagonal updates
Jennifer B. Erway and Roummel F. Marcia
Submitted for publication.

Technical Report 2011-9 [ PDF file ]

A geometric and combinatorial view of weighted voting
Sarah Mason and Jason Parsley
submitted

2010 Technical Reports

Technical Report 2010-1 [ PDF file ]

CURVES, KNOTS, AND TOTAL CURVATURE
CHARLES M. EVANS
Master’s Thesis under the driection of Dr. Jason Parsley

Technical Report 2010-2 [ Request file ]

CHOICE FUNCTIONS, DYNAMICS, AND EQUAL REPRESENTATION
KATHERINE M. DONADIO
Master’s Thesis under the driection of Dr. Kenneth S. Berenhaut

Technical Report 2010-3 [ Request file ]

A NEW ASYMPTOTIC EXPANSION FOR DISTRIBUTION OF SUMS OF RANDOM VARIABLES
JAMES CHERNESKY, JR.
Master’s Thesis under the driection of Dr. Kenneth S. Berenhaut

Technical Report 2010-4 [ PDF file ]

COMMUTATIVITY DEGREE OF FINITE GROUPS
Anna Castelaz
Master’s Thesis under the direction of Dr. James Kuzmanovich

Technical Report 2010-5 [ PDF file ]

A CAMPANOLOGICAL LOOK AT GROUPS, GRAPHS AND GENERATING SETS
MEGAN CREAM & DR. JIM KUZMANOVICH
(Senior Honors Thesis)

Technical Report 2010-6 [ PDF file ]

Schwarzschild Geometry of a Black Hole (The Schwarzschild Metric )
Louis Wonnell
(Senior Honors Thesis)

Technical Report 2010-7 [ PDF file ]

Computational Modeling of the Effects of Oxidative Stress on the IGF-1 Signaling Pathway in Human Articular Chondrocytes
Pamela F. Marcot, Jacquelyn S. Fetrow, Richard F. Loeser, Edward E. Allen
(Senior Honors Thesis)

Technical Report 2010-8 [ Request file ]

Global asymptotic stability for minimum difference equations
Berenhaut, K. S., Guy, R. T. and Barrett, C. L.
In press, Journal of Difference Equations and Applications

Technical Report 2010-9 [ Request file ]

An Optimal Bound for Inverses of Triangular Matrices with Monotone Entries
Berenhaut, K. S., Guy, R. T. and Vish, N. G.
In press, Linear and Multilinear Algebra

Technical Report 2010-10 [ Request file ]

Fibonacci-type piecewise linear recurrences and generalized Ramanujan-Nagell equations
Berenhaut, K. S., Magargee, E. M. and Stancil, B. J.
submitted

Technical Report 2010-11 [ Request file ]

Deviations of discrete distributions and a question of Mori
Berenhaut, K. S., Baxley, J. V. and Lyday, R. G.
submitted

Technical Report 2010-12 [ Request file ]

Stochastic orderings, folded beta distributions and fairness in coin flips
Berenhaut, K. S. and Bergen, L. D.
submitted

Technical Report 2010-13 [ Request file ]

Asymptotic behavior of solutions to difference equations involving ratios of elementary symmetric polynomials
Berenhaut, K. S. and Jones, A. H.
submitted

Technical Report 2010-14 [ Request file ]

Asymptotic behavior of solutions to minimum-maximum delay recurrences of higher-order
Berenhaut, K. S., Magargee, E. M. and Rabidoux, S. M.
submitted

Technical Report 2010-15 [ Link ]

Intrinsic symmetry groups of links with 8 and fewer crossings
Michael Berglund, Jason Cantarella, Meredith Perrie Casey, Ellie Dannenberg, Whitney George, Aja Johnson, Amelia Kelly, Al LaPointe, Matt Mastin, Jason Parsley, Jacob Rooney, Rachel Whitaker
submitted.

Technical Report 2010-16 [ Link ]

A student-run exit poll successfully predicts 2008 election results
Annalaissa Johnson, Andrew McCarty, Jason Parsley, and Robert Reinhard
submitted

Technical Report 2010-17 [ Request file ]

Stochastic orderings and folded beta distributions
Berenhaut, K. S. and Bergen, L. D.
Statistics and Probability Letters, In press.

Technical Report 2010-18 [ Request file ]

Fibonacci-type piecewise linear recurrences and generalized Ramanujan-Nagell equations
Berenhaut, K. S., Magargee, E. M. and Stancil, B. J.
Proceedings of The Fourteenth International Conference on Fibonacci Numbers and Their Applications, Accepted.

Technical Report 2010-19 [ Request file ]

A part-metric variant of Newton’s inequalities
Berenhaut, K. S., Jones, A. H.
Mathematical Inequalities and Applications, Accepted.

Technical Report 2010-20 [ Request file ]

Asymptotic behavior of solutions to minimum-maximum delay recurrences of higher order
Berenhaut, K. S., Magargee, E. M. and Rabidoux, S. M.
Proceedings of The Fourteenth International Conference on Fibonacci Numbers and Their Applications, Accepted.

Technical Report 2010-21 [ Request file ]

Asymptotic behavior of solutions to rational difference equations involving elementary symmetric polynomials
Berenhaut, K. S., Jones, A. H.
In press, Journal of Difference Equations and Applications.

Technical Report 2010-22 [ PDF file ]

Public Avoidance and Epidemics: Insights from an Economic Model
Frederick Chen, Miaohua Jiang, Scott Rabidoux, Stephen Robinson
submitted, Journal of Theoretical Biology

Technical Report 2010-23 [ Link ]

VARIATIONAL METHODS FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
Carlos Tello
Master’s Thesis under the direction of Dr. Sarah Raynor

 

2009 Technical Reports

Technical Report 2009-1 [ PDF file ]

ACTIONS OF FINITE DIMENSIONAL NON-COMMUTATIVE, NON-COCOMMUTATIVE HOPF ALGEBRAS ON RINGS
Justin M. Allman
Master’s Thesis (under the direction of Dr. James Kuzmanovich).

Technical Report 2009-2  [ PDF file ]

Existence and multiplicity of positive solutions for classes of singular elliptic PDEs
Maya Chhetri, Stephen B. Robinson
Journal of Mathematical Analysis and Applications, 357 (2009) 176–182.

Technical Report 2009-3 [ PDF file ]

MATRIX STRUCTURES AND PARALLEL ALGORITHMS FOR IMAGE SUPERRESOLUTION RECONSTRUCTION
QIANG ZHANG, RICHARD T. GUY, AND ROBERT J. PLEMMONS

Technical Report 2009-4 [ Link ]

Understanding geometry in the dance studio
Jason Parsley and Christina Soriano
Journal of Mathematics and the Arts, 3:1, 11-19, DOI: 10.1080/17513470902864262

Technical Report 2009-5 [ Link ]

A new cohomological formula for helicity in R^{2k+1} reveals the effect of a diffeomorphism on helicity
Jason Cantarella and Jason Parsley
J. of Geometry & Physics, 60:9, Sept. 2010, 1127-1155, DOI: 10.1016/j.geomphys.2010.04.001. arxiv:0903.1465

Technical Report 2009-6 [ Link ]

The Biot-Savart operator and electrodynamics on subdomains of the three-sphere
Jason Parsley
Submitted

Technical Report 2009-7 [ PDF file ]

HIGHER DIMENSIONAL CONVEX BRUNNIAN LINKS AND OTHER EXPLORATIONS IN KNOTS
Jonathan H. Newman
Master’s Thesis (under the direction of Dr.Hugh N. Howards)

Technical Report 2009-8 [ PDF file ]

SOME NEW RESULTS ON COMPOSITION-DELAY EQUATIONS WITH ASYMPTOTICALLY PERIODIC SOLUTIONS
Richard T. Guy
Master’s Thesis (under the direction of Dr. Kenneth S. Berenhaut)

Technical Report 2009-9 [ PDF file ]

SOME NEW RESULTS ON DIFFERENCE EQUATIONS OF CONVOLUTION TYPE
NATHANIEL G. VISH
Master’s Thesis (under the direction of Dr. Kenneth S. Berenhaut)

Technical Report 2009-10 [ PDF file ]

INVESTIGATING THE SYMMETRY OF THE Q; T-CATALAN POLYNOMIALS USING NEW STATISTICS ON PLANE BINARY TREES, TRIANGULATIONS OF CONVEX POLYGONS, AND PAIRED LATTICE PATHS
KRISTY LAUREN BEAM
Master’s Thesis (under the direction of Dr. Fredric T. Howard)

Technical Report 2009-11 [ PDF file ]

EXACT DERIVATIVE FORMULA OF THE POTENTIAL FUNCTION OF THE SRB MEASURE
MIAOHUA JIANG

Technical Report 2009-12 [ Request file ]

On solving unsymmetric tridiagonal systems without interchanges
Jennifer B. Erway, Roummel F. Marcia and Joseph A. Tyson
Submitted

Technical Report 2009-13 [ Request file ]

Equations of convolution type with monotone coefficients
Berenhaut, K. S. and Vish, N. G.
In press, Journal of Difference Equations and Applications.

Technical Report 2009-14 [ Request file ]

An infinite family of convex Brunnian links in R^n
Bob Davis, Hugh Howards, Jonathan Newman, and Jason Parsley
accepted pending revisions

 

2008 Technical Reports

Technical Report 2008-1 [ Request file ]

Inequalities for convolution ratios under local approximation
Berenhaut, K. S. and Chen, D.
International Mathematical Forum, in press.

Technical Report 2008-2  [ Request file ]

A subspace minimization method for the trust-region step
Jennifer B. Erway and Philip E. Gill
Submitted.

Technical Report 2008-3 [ PDF file ]

THEORETICAL AND COMPUTATIONAL RESULTS FOR A NONLINEAR OSCILLATOR
Matthew Joseph Smith
Master’s Thesis (under the direction of Stephen B. Robinson).

Technical Report 2008-4 [ PDF file ]

ASYMPTOTIC BEHAVIOR OF THE EIGENVALUES OF TOEPLITZ INTEGRAL OPERATORS ASSOCIATED WITH THE HANKEL TRANSFORM
Grey M. Ballard
Master’s Thesis (under the direction of John V. Baxley).

Technical Report 2008-5 [ PDF file ]

SELECTED PROOFS OF FERMAT’S LITTLE THEOREM AND WILSON’S THEOREM
Caroline LaRoche Turnage
Master’s Thesis (under the direction of Fredric T. Howard).

Technical Report 2008-6 [ PDF file ]

A WRINKLE IN SPACE
Christopher Adam Cross
Master’s Thesis (under the direction of R. Jason Parsley).

Technical Report 2008-7 [ PDF file ]

A BASIC CALCULUS APPROACH TO ESTIMATING THE ZEROS OF THE RIEMANN ZETA FUNCTION
JOAN A. PHARR
Undergraduate Honors Thesis (under the direction of John V. Baxley).

Technical Report 2008-8 [ PDF file ]

Computational algebraic models of yeast cell cycle data
Candace Curry
Undergraduate Honors Thesis (under the direction of Dr. Edward E. Allen).

Technical Report 2008-9 [ Request file ]

On the Dyson condition for sums of independent random variables
Berenhaut, K. S., Chen D. and Tran, V.,
Statistics and Probability Letters, Accepted.

Technical Report 2008-10 [ Request file ]

On some piecewise-linear difference equations with Mersenne-type periodic solutions
Berenhaut, K. S., Stancil, B. J. and Newman, J. H.
In press, Journal of Difference Equations and Applications, (2008).

Technical Report 2008-11 [ Request file ]

A 1-Norm Bound for Inverses of Triangular Matrices with Monotone Entries
Berenhaut, K. S., Guy, R. T. and Vish, N. G.
Banach J. Math. Anal. 2 (2008), no. 1, 112­121.

Technical Report 2008-12 [ Request file ]

Diagonal pivoting strategies for unsymmetric tridiagonal matrices
Jennifer B. Erway and Roummel F. Marcia
Submitted

Technical Report 2008-13 [ Request file ]

Composition-delay equations and results for minimum-difference equations
Berenhaut, K. S. and Guy, R. T.
Journal of Difference Equations and Applications, in revision.

Technical Report 2008-14 [ Request file ]

An Optimal Bound for Inverses of Triangular Matrices with Monotone Entries
Berenhaut, K. S., Guy, R. T. and Vish, N. G.
Submitted

Technical Report 2008-15 [ Request file ]

Inequalities for 3-log-convex functions
Berenhaut, K. S. and Chen D.
Accepted

Technical Report 2008-16 [ Request file ]

Moment generating functions, local approximations and one-step conditioning
Berenhaut, K. S. and Chen D.
Accepted, Panamerican Mathematical Journal

Technical Report 2008-17 [ Request file ]

Equations of convolution type with monotone coefficients
Berenhaut, K. S. and Vish, N. G.
11 pages, submitted.

Technical Report 2008-18 [ Request file ]

Symmetric functions and difference equations with asymptotically period-two solutions
Berenhaut, K. S. and Guy, R. T.
Submitted.

Technical Report 2008-19 [ PDF file ]

CONTINUOUS TIME MULTI-STATE MODELS FOR SURVIVAL ANALYSIS
Erika Lynn Gibson
Master’s Thesis (under the direction of Dr. James L. Norris)

 

2007 Technical Reports

Technical Report 2007-1 [ PDF File ]

Non-variational problems with critical growth
M. Chhetri, P. Dr´abek, S. Raynor, S. Robinson
Nonlinear Analysis (2007)

Technical Report 2007-2 [ PDF File ]

Multiple Positive Solutions for Singular Boundary Value Problems
Maya Chhetri & Stephen Robinson
Communications on Applied Nonlinear Analysis, Volume 14(2007), Number 1, 15–30

Technical Report 2007-3 [ PDF File ]

Bounds for recurrences on ranked posets
Berenhaut, K. S., Saidak, F. and O’Keefe, A. B.
Accepted, International Journal of Contemporary Mathematical Sciences

Technical Report 2007-4 [ PDF File ]

Infimum of the Metric Entropy of Hyperbolic Attractors With Respect to the SRB Measure
Huyi Hu, Miaohua Jiang, and Yunping Jiang
Accepted

Technical Report 2007-5 [ Book ]

Boundary Values and Convolution in Ultradistribution Spaces
Richard D. Carmichael, Andrzej Kamiński and Stevan Pilipović
World Scientific Publishing Co., Singapore, 2007. 225 pages.

Technical Report 2007-6 [ Request file ]

Notes on Degenerate Numbers
F. T. Howard and M. Cenkci
Discrete Mathematics, vol. 307, September 2007, 2359-2375

Technical Report 2007-7 [ Request file ]

Zhou’s Method for Constructing Identities
F. T. Howard and Filip Saidak
Accepted for publication.

Technical Report 2007-8 [ Request file ]

Iterative Methods for Finding a Trust-Region Step
Jennifer B. Erway, Philip E. Gill, and Joshua D. Griffin
Submitted

Technical Report 2007-9 [ Request file ]

On the rational recursive sequence $y_n=A+\frac{y_{n-1}}{y_{n-m}}$ for small $A$
Berenhaut, K. S., Donadio, K. M. and Foley J.D.
In press, Applied Mathematics Letters

Technical Report 2007-10 [ Request file ]

Remarks on linear recurrences of the form $y_n=y_{n-1}+a_{n-1}y_{n-2}$
Berenhaut, K. S., Saidak, F. and O’Keefe, A. B.
In Press, Proceedings of the Twelfth International Conference on Fibonacci Numbers

Technical Report 2007-11 [ Request file ]

The behavior of the positive solutions of the difference equation $x_n=\frac{f(x_{n-2})}{g(x_{n-1})}$
Berenhaut, K. S. and Stevic, S.
In press, Abstract and Applied Analysis

Technical Report 2007-12 [ Request file ]

On some systems of difference equations with periodic solutions
Berenhaut, K. S.
Accepted, Dynamics of Continuous, Discrete and Impulsive Systems

Technical Report 2007-13 [ Request file ]

The boundedness character of the difference equation $y_n=A+\frac{y_{n-k}}{y_{n-m}}$
Berenhaut, K. S., Foley J. D. and Stevic, S.
Accepted, International Journal of Computer Mathematics

Technical Report 2007-14 [ Request file ]

Inequalities for functions with convex logarithmic derivative
Berenhaut, K. S. and Chen D.
Submitted.

Technical Report 2007-15 [ Request file ]

Moment generating functions, local approximations and one-step conditioning
Berenhaut, K. S. and Chen D.
Submitted.

Technical Report 2007-16 [ ]

This entry has been moved.

Technical Report 2007-17 [ Request file ]

On the Dyson condition for sums of independent random variables
Berenhaut, K. S., Chen D. and Tran, V.
Submitted.

Technical Report 2007-18 [ Request file ]

On a rational recursive sequence with parameter near the boundary
Berenhaut, K. S., Donadio, K. M. and Foley J. D.
Accepted, International Journal of Difference Equations (2007).

Technical Report 2007-19 [ Request file ]

On some piecewise-linear difference equations with Mersenne-type periodic solutions
Berenhaut, K. S., Stancil, B. J. and Newman, J. H.
Submitted.

 

2006 Technical Reports

Technical Report 2006-1 [ PDF File ]

Recursive sequences of the form $y_n=a_{n}y_{n-1}+y_{n-2}$ with integer coefficients
Berenhaut, K. S., Saidak, F. and O’Keefe, A. B.
Accepted, Indian Journal of Mathematics. 2006.

Technical Report 2006-2 [ PDF File ]

A Coupled Map Lattice Model of Tree Migration
Miaohua Jiamg and Qiang Zhang
January 2006.

Technical Report 2006-3 [ Request file ]

A human proof for a generalization of Shalosh B. Ekhad’s 10^n Lattice Paths Theorem
G. Warrington, N. Loehr, and B. Sagan
To appear in Ars Combinatoria. 2006.

Technical Report 2006-4 [ PDF File ]

The global attractivity of the rational difference equation $y_{n}=\frac{y_{n-k}+y_{n-m}}{1+y_{n-k}y_{n-m}}$
Berenhaut, K. S., Foley, J. D. and Stevic, S.
To Appear:Applied Mathematics Letters. 2006.

Technical Report 2006-5 [ PDF File ]

Product Difference Equations Approximating Rational Equations
Berenhaut, K. S. and Foley, J. D.
To Appear: Proceedings of the Conference on Differential and Difference Equations and Applications, 2006.

Technical Report 2006-6 [ PDF File ]

The Global Attractivity of a Higher Order Rational Difference Equation
Berenhaut, K. S. and Stevic, S.
Accepted, Journal of Mathematical Analysis and Applications. 2006.

Technical Report 2006-7 [ PDF File ]

Inequalities for Coefficients of Reciprocals of Power Series
Berenhaut, K. S., Abernathy, Z. J., Fan, Ying Wai and Foley, J. D.
Accepted, Advances in Inequalities for Series (Edited by S.S. Dragomir & A. Sofo). 2005.

Technical Report 2006-8 [ PDF File ]

The Difference Equation $x_{n+1}=\a+\frac{x_{n-k}}{\sum_{i=0}^{k-1}c_ix_{n-i}}$ Has Solutions Converging to Zero
Berenhaut, K. S. and Stevic, S.
Accepted, Journal of Mathematical Analysis and Applications. 2006.

Technical Report 2006-9 [ PDF File ]

Multiple Positive Solutions for Elliptic Boundary Value Problems
Pavel Drabek and Stephen B. Robinson
Rocky Mountain Journal of Mathematics, Volume 36, Number 1, 2006

Technical Report 2006-10 [ PDF File ]

Algebraic dependency models of protein signal transduction networks from time-series data
Edward E. Allen, Jacquelyn S. Fetrow, Larry W. Daniel, Stan J. Thomas, David J. John
Journal of Theoretical Biology 238 (2006) 317�330

Technical Report 2006-11 [ PDF File ]

Reconstructing Networks using Cotemporal Functions
Edward E. Allen, Anthony Pecorella, Jacquelyn S. Fetrow, David J. John, and William Turkett
ACM SE’06 March 1012, 2006, Melbourne, Florida, USA

Technical Report 2006-12 [ Request file ]

A Forecast Combination Methodology for Demand Forecasting
J. Gaylord May & Joanne M. Sulek
Advances in Business and Management Forecasting, Volume 4, 277-287. Copyright 2006 by Elsevier Ltd.

Technical Report 2006-13 [ PDF File ]

The Behaviour of the Positive Solutions of the Difference Equation $x_n=A+\left(\frac{x_{n-2}}{x_{n-1}}\right)^p$
Berenhaut, K. S. and Stevic, S.
Accepted, Journal of Difference Equations and Applications.

Technical Report 2006-14 [ PDF File ]

Applications of recurrence bounds to networks and paths
Berenhaut, K. S. and Foley, J. D.
Accepted, International Journal of Applied Mathematics.

Technical Report 2006-15 [ PDF File ]

Algebraic Modeling of Bilogical Signaling Pathways
Anthony Pecorella
MA Thesis

Technical Report 2006-16 [ PDF File ]

Boundedness character of positive solutions of a max difference equation
Berenhaut, K. S., Foley, J. D. and Stevic, S.
Accepted, Journal of Difference Equations and Applications

Technical Report 2006-17 [ PDF File ]

The Global Attractivity of the Rational Difference Equation $y_n=A+\left(\frac{y_{n-k}}{y_{n-m}}\right)^p$
Berenhaut, K. S., Foley, J. D. and Stevic, S.
Accepted, Proceedings of the American Mathematical Society

Technical Report 2006-18 [ PDF File ]

The Periodic Character of the Rational Difference Equation $y_n = (y_{n-m}+y_{n-m-k})/y_{n-k}$
Berenhaut, K. S. and Foley, J. D.
Accepted, International Mathematical Forum

Technical Report 2006-19 [ PDF File ]

Bounds on coefficients of reciprocals of formal power series with rapidly decreasing coefficients
Berenhaut, K. S., Allen, E. E. and Fraser, S. J.
Accepted, Discrete Dynamics in Nature and Society

Technical Report 2006-20 [ PDF File ]

This paper has been updated and moved.

Technical Report 2006-21 [ PDF File ]

Inequalities for Inner Products under some Monotonicity Constraints
Berenhaut, K. S., Foley, J. D. and Bandyophadyay, D.
Journal of Inequalities in Pure and Applied Mathematics

Technical Report 2006-22 [ PDF File ]

Bounds for fourth order $(0,1)$ difference equations
Berenhaut, K. S., Gibson, B. G., Newman, J. H. and Anderson, J. F.
Accepted, Computers and Mathematics with Applications

Technical Report 2006-23 [ PDF File ]

Recursive sequences of the form $y_n=a_{n}y_{n-1}+y_{n-3}$ with integer coefficients
Berenhaut, K. S. and O’Keefe, A. B.
Accepted, Indian Journal of Mathematics

Technical Report 2006-24 [ PDF File ]

A note on the maximal coefficients of squares of Newman polynomials
Berenhaut, K. S. and Saidak, F.
Accepted, Journal of Number Theory

Technical Report 2006-25 [ PDF File ]

Multiplicity results for semipositone problems on balls
Robinson, Stephen B.; Rudd, Matthew
Dynam. Systems Appl. 15 (2006), no. 1, 133–146.

Technical Report 2006-26 [ Request file ]

Cauchy and Poisson Integrals of Ultradistributions in D'(*,Ls)
R. D. Carmichael, A. Kamiński and S. Pilipović
Integral Transforms and Special Functions 17(2006), 135-139.

Technical Report 2006-27 [ Request file ]

Microlocalization Within Some Classes of Fourier Hyperfunctions
R. D. Carmichalel, A. Eida and S. Pilipović
Operator Theory: Advances and Applications 172(2006), 329-343.

 

2005 Technical Reports

Technical Report 2005-1 [ Request file ]

Juggling Probabilities
Gregory S. Warrington
American Mathematical Monthly, To appear Feb. 2005

Technical Report 2005-2 [ PDF file ]

Explicit Bounds for Second-Order Difference Equations and a Solution to a Question of Stevic
Berenhaut, K. S. and Goedhart, E. G.
In press, Journal of Mathematical Analysis and Applications.2005.

Technical Report 2005-3 [ PDF file ]

Bounds for Second-Order Recurrences in terms of Maximal Products over Integer Partitions
Berenhaut, K. S. , Morton, D. C. and Fan, Y. W.
In press, Proceedings of the Eleventh International Conference on Fibonacci Numbers. 2005.

Technical Report 2005-4 [ PDF file ]

Monotone Convex Sequences and Cholesky Decomposition of Symmetric Toeplitz Matrices
Berenhaut, K. S. and Bandyopadhyay D.
In press, Linear Algebra and its Applications. 2005.

Technical Report 2005-5 [ PDF file ]

Fixed Substrings of Neotherian Graded Regular Rings
Ellen Kirkman and James Kuzmanovich
To appear in Journal of Algebra

Technical Report 2005-6 [ PDF file ]

The Occurrence of Fibonacci and Lucas Numbers in the Geometry of H(RN)
Kristina Lund, Patrick Sigmon, and Steven Schlicker
January 2005

Technical Report 2005-7 [ PDF file ]

Second Order Bounds for Linear Recurrences with Negative Coefficients
Berenhaut, K. S. and Morton, D. C.
Accepted, Journal of Computational and Applied Mathematics

Technical Report 2005-8 [ PDF file ]

A Bound for Linear Recurrence Relations with Unbounded Order
Fan, Y. W. and Berenhaut, K. S.
Accepted, Computers and Mathematics with Applications

Technical Report 2005-9 [ PDF file ]

Bounds for Inverses of Triangular Toeplitz Matrices
Berenhaut, K. S., Morton D. C. and Fletcher, P. T.
Accepted, Siam Journal on Matrix Analysis.

Technical Report 2005-10 [ Request file ]

Use of Molecular Shape Similarity to Model the Photoinduced Toxicity of Anthracene and Oxygenated Anthracenes
Mallakin A., Mezey, P. G., Zimpel, Z., Berenhaut, K. S., Greenberg, B. M., and Dixon, D. G.
In press, QSAR & Combinatorial Science.

Technical Report 2005-11 [ PDF file

Cauchy and Poisson Integrals of Ultradistributions in D'(*,Ls)
R. D. Carmichael and S. Pilipovic
To appear in Integral Transforms and Special Functions

Technical Report 2005-12 [ PDF file ]

On Inverses of Triangular Matrices with Monotone Entries
Berenhaut, K. S. and Fletcher, P. T.
Accepted, Journal of Inequalities in Pure and Applied Mathematic; 2005

Technical Report 2005-13 [ PDF file ]

Parsimonious and Completely Compatible Taper, Total and Merchantable
Volume Models
Lewis, J., Berenhaut, K. S., Souter, R. and Daniels, R. F.
Forest Science, Volume 51, Number 6, 578–584.

Technical Report 2005-14 [ Request file ]

Survey of School Psychologists’ Attitudes, Feelings, and Exposure to Gay
and Lesbian Parents and Their Children
Choi, H. S., Thul, C., Berenhaut, K. S.,Suerken, C. K. and Norris, J.
Accepted, Journal of Applied School Psychology; 2005.

Technical Report 2005-15 [ DVI file ]

On the Difference Equation x n+1 = 1/xn xn-1+ 1/xn-3 xn-4
Berenhaut, K. S. and Stevic, S.
Accepted, Journal of Difference Equations and Applications; 2005.

Technical Report 2005-16 [ PDF file ]

Second-Order Linear Recurrences with Restricted Coefficients and the Constant (1/3)(1/3)
Berenhaut K. S. and Goedhart, E. G.
Accepted, Mathematical Inequalities & Applications

Technical Report 2005-17 [ PDF file ]

Quantitative Bounds for the Recursive Sequence yn=A+ yn-1 / y n-k
Berenhaut, K. S., Foley, J. D. and Stevic, S.
Accepted, Applied Mathematics Letters; 2005.

Technical Report 2005-18 [ PDF file ]

Explicit Bounds for Multi-dimensional Linear Recurrences with Restricted Coefficients
Berenhaut, K. S. and Foley, J. D.
Accepted, Journal of Mathematical Analysis and Applications; 2005.

Technical Report 2005-19 [ PDF file ]

Compositions with the Euler and Carmichael functions
W. Banks, F. Luca, F. Saidak, and P. Stanica
In Press, Abh. Math. Sem. Univ. Hamburg.

Technical Report 2005-20 [ DVI file ]

A new proof of Euclid’s theorem
F. Saidak
Accepted, American Mathematical Monthly.

Technical Report 2005-21 [ DVI file ]

On Goldbach’s conjecture for integer polynomials
F. Saidak
Accepted, American Mathematical Monthly.

Technical Report 2005-22 [ Request file ]

Arithmetic properties of class numbers of imaginary quadratic fields
S. Hamdy and F. Saidak
Accepted, JP J. Algebra and Number Theory.

Technical Report 2005-23 [ Request file ]

Riemann and his zeta function
E. Kudryavtseva, F. Saidak, and P. Zvengrowski
Accepted, Morfismos.

Technical Report 2005-24 [ PDF file ]

On Positive Nonoscillatory Solutions of the Difference Equation x n+1 = α + xpn-k / xnp
Berenhaut, K. S. and Stevic, S.
Accepted, Journal of Difference Equations and Application

Technical Report 2005-25 [ PDF file ]

The Global Attractivity of the Rational Difference Equation yn = 1 + yn-k / yn-m
Berenhaut, K. S., Foley, J. D. and Stevic, S.
Accepted, Proceedings of the American Mathematical Society

Technical Report 2005-26 [ PDF file ]

Explicit Bounds for Third-Order Difference Equations
Berenhaut, K. S., Goedhart, E. G. and Stevic, S.
In press, ANZIAM Journal, Volume 47 part 3.

Technical Report 2005-27 [ PDF file ]

Periodic Solutions of the Rational Difference Equation y n = (y n-3 + y n-4 ) / yn-1
Berenhaut, K. S., Dice, J. E., Foley, J. D., Iricanin, B. and Stevic, S.
Accepted, Journal of Difference Equations and Applications

Technical Report 2005-28 [ PDF file ]

Heuristics for Dependency Conjectures in Proteomic Signaling Pathways
Edward E. Allen, Jacquelyn S. Fetrow, David J. John and Stan J. Thomas
ACMSE ’05 Atlanta, Georgia

 

2004 Technical Reports

Technical Report 2004-1 [ PDF file ]

Text Mining using Nonnegative Matrix Factorizations
Paul Pauca, Farial Shahnaz, Michael Berry and Robert Plemmons
Procceedings SIAM Inter. Conference on Data Mining, Orlando, April 2004

Technical Report 2004-2 [ PDF file ]

Unmixing Spectral Data for Space Objects using Independent Component Analysis and Non-Negative Matrix Factorization
Paul Pauca, Robert Plemmons, Maile Giffin, Kris Hamada
To appear in the Proceedings Amos Technical Conf., Maui, 2004.

Technical Report 2004-3 [ PDF file ]

Iris Recognition with Enhanced Depth-of-Field Image Aquisition
Joseph van der Gracht, Paul Pauca, Harsha Setty, Ramkumar Narayanswamy, Robert Plemmons, Sudhakar Prasad, and Todd Torgersen
Proceedings SPIE Conference on Defense and Homeland Security, Orlando, April 2004

Technical Report 2004-4 [ PDF file ]

High-Resolution Imaging Using Integrated Optical Systems
Sudhakar Prasad, Todd Torgersen, Paul Pauca, Robert Plemmons, and Joe van der Gracht
Appeared in the International Journal on Imaging Systems and Technology, 2004

Technical Report 2004-5 [ PDF file ]

Computational Imaging Systems for Iris Recognition
Robert Plemmons, Michael Horvath, Emily Leonhardt, Paul Pauca, Sudhakar Prasad, Stephen Robinson, Harsha Setty, Todd Torgersen, Joseph van der Gracht, Edward Dowski, Ramkumar Narayanswamy, and Paulo E. X. Silveira
To appear in Proceedings SPIE Annual Meeting, Denver 2004

Technical Report 2004-6 [ PDF file ]

Pupil-phase Optimization for Extended-Focus, Aberration-Corrected Imaging Systems
S. Prasad, V.P. Pauca, R. J. Plemmons, T. C. Torgersen, and J. van der Gracht
To appear in Proceedings SPIE Annual Meeting, Denver, 2004.

Technical Report 2004-7 [ PDF file ]

Document Clustering using Nonnegative Matrix Factorization
Farial Shahnaz, Michael Berry, Paul Pauca, and Robert Plemmons
Submitted to the Journal on Information Processing & Management, August 2004

Technical Report 2004-8 [ PDF file ]

Object Characterization from Spectral Data Using Nonnegative Factorization and Information Theory
Jon Piper, Paul Pauca, Robert Plemmons, and Maile Giffin
To appear in the Proc. Amos Technical Conf., Maui, September 2004

Technical Report 2004-9 [ PDF file ]

Linear Response Function for Coupled Hyperbolic Attractors
Miaohua Jiang and Rafael De La Llave
October 2003

Technical Report 2004-10 [ Link ]

The Combinatorics of a Three-line Circulant Determinant
Nicholas A. Loehr, Gregory S. Warrington, Herbert S. Wilf
Israel Journal Math., 143 (2004), 141–156.

Technical Report 2004-11 [  ]

Square q,t-lattice paths and nabla(p_n)
Gregory S. Warrington and Nicholas A. Loehr
Submitted Nov. 2004

Technical Report 2004-12 [ PDF File ]

On the Second Eigenvalue for Nonhomogeneous Quasi-linear Operators
Stephen B. Robinson
SIAM Journal Math. Anal., Vol. 35, No. 5 , pp. 1241-1249

Technical Report 2004-13 [ Request file ]

Review of Advanced Calculus with Applications in Statistics by André I Khuri
Berenhaut, K. S.
Journal of the American Statistical Association, 99, No. 467, 903–904

Technical Report 2004-14 [ PDF File ]

Optimization with Surrogates for Electronic-Structure Calculations
Yonas Beyene Abraham
Master’s Thesis, May 2004

 

2003 Technical Reports

Technical Report 2003-1 [  ]

Large-Scale Interior-Point Techniques for Dynamic Single Photon Emission
Computerized Tomography (SPECT). First Progress Report
Dominikus Noll, Marielba Rojas and Germain Tanoh
January 2003

Technical Report 2003-2 [ Request file ]

Promoting Faculty Adoption of Technology at Wake Forest University
Steven Wicker and Beth Boyd
To Appear in The Technology Source, November/December 2003.

Technical Report 2003-3 [ PDF file ]

Nonlinear Higher Order Boundary Value Problems with Multiple Solutions
John V. Baxley and Corey R. Houmand
January 2003

Technical Report 2003-4 [ PDF file ]

LSTRS: Matlab Software for Large-Scale Trust-Region Subproblems and Regularization
Marielba Rojas, Sandra A. Santos and Danny C. Sorensen
August 26, 2003. Revised October 23, 2003.

Technical Report 2003-5 [ PDF file ]

Minimization of Linear Functionals Defined on Solutions of Large-Scale Discrete Ill-Posed Problems
Lars Eldén, Per Christian Hansen and Marielba Rojas
BIT, 45(2): 329-340, 2005.

Technical Report 2003-6 [ Request file ]

Iterative Ultrasonic Signal and Image Deconvolution for Estimation of the Complex Medium Response
Zhiping Mu, Robert Plemmons, and Pete Santago
Submitted to the International Journal on Imaging Systems and Technology

Technical Report 2003-7 [ Request file ]

Engineering the Pupil Phase for Image Quality
Sudhakar Prasad, Todd Torgersen, Paul Pauca, Robert Plemmons, and Joe van der Gracht
Proceedings AeroSense Conference on Technologies and Systems for Defense and Security, Orlando, April 2003.

Technical Report 2003-8 [ Request file ]

Integrated Optical-Digital Approaches for Enhancing Image Restoration and Focus Invariance.
Paul Pauca, Robert Plemmons, Sudhakar Prasad and Todd Torgersen .
Proceedings SPIE Annual Conference, July 2003.

Technical Report 2003-9 [ Request file ]

On Reduced Rank Nonnegative Matrix Factorizations for Symmetric Matrices
M. Catral, Lixing Han, Michael Neumann and Robert Plemmons
Preprint, September 2003. To appear in Linear Algebra and Applications

Technical Report 2003-10 [ Request file ]

An Integrated Optical-Digital Approach for Improved Image Restoration
Paul Pauca, Robert Plemmons, Sudhakar Prasad, Todd Torgersen, Joe van der Gracht and Curt Vogel
Proceedings AMOS Technical Conference, Maui, HI, September 2003

Technical Report 2003-11 [ Link ]

Counterexamples to the 0-1 Conjecture
Gregory S. Warrington and Timothy J. McLarnan
Rep. Theory, 7 (2003), 181–195.

Technical Report 2003-12 [ Link ]

A Formulae for Inverse Kazhdan-Lusztig Polynomials in S_n
Gregory S. Warrington
J. Comb. Theory, Ser. A, 104, (2003), no. 2, 301–316.

Technical Report 2003-13 [ File ]

Maximal singular loci of Schubert varieties in SL(n)/B
Gregory S. Warrington and Sara C. Billey
Trans. of the AMS, 355 (2003), no. 10, 3915–3945.

Technical Report 2003-14 [ PDF file ]

On the Average Value for Nonconstant Eigenfunctions of the p-Laplacian assuming Neumann Boundary Data
Stephen B. Robinson
Fifth Mississippi State Conference of Differential Equations and Computational Simulations, Electronic Journal of Differential Equations, Conference 10, 2003, pp 251-256.

 

2002 Technical Reports

Technical Report 2002-1 [ PS file ]

3D Iterative Restoration of Tomosynthetic Images
Timothy Persons, Paul Hemler, and Robert Plemmons
January 2002

Technical Report 2002-2 [ PS file ]

Iterative Restoration of Wavefront Coded Imagery for Focus Invariance
Joe van der Gracht, James Nagy, Paul Pauca, and Robert Plemmons
January 2002

Technical Report 2002-3 [ PS file ]

Estimation of Complex Ultrasonic Medium Responses by Deconvolution
Zhiping Mu, Robert Plemmons, and Pete Santago
January 2002

Technical Report 2002-4 [ Request file ]

Bayesian capture-recapture analysis allowing for heterogeneity between animals
Sujit. K. Ghosh and James L. Norris
April 2002

Technical Report 2002-5 [ PDF file ]

Strongly n-trivial Knots
Hugh Howards and John Luecke
To appear in Bulletin of London Math Society

Technical Report 2002-6 [ PS file ]

An Interior-Point Trust-Region-Based Method for Large-Scale Non-Negative Regularization
Marielba Rojas and Trond Steihaug
Inverse Problems, 18(5): 1291-1307, 2002.

Technical Report 2002-7 [  ]

Large-scale Optimization Techniques for Nonnegative Image Restorations
Marielba Rojas and Trond Steihaug
Proceedings of SPIE, 4791: 233-242, 2002.

Technical Report 2002-8 [ PDF file ]

Sinai-Ruelle-Bowen Measures for Lattice Dynamical Systems
Miaohua Jiang
July 2002

Technical Report 2002-9 [ PDF file ]

Coupling two unimodal maps with simple kneading sequences
Bastien Fernandez and Miaohua Jiang
August 2002

Technical Report 2002-10 [ PDF file ]

Evaluating the Quasi-Monte Carlo Method for Discontinuous Integrands
Miaohua Jiang and Elizabeth McNamara
2002

Technical Report 2002-11 [ PDF file

Posting Math to the Web Using Tools on the Wake Forest Standard Load
Steven Wicker
October 2002

Technical Report 2002-12 [ PDF file ]

Research Problems Associated with Generalizations of H r Functions
and Boundary Values
Richard Carmichael
October 2002

Technical Report 2002-13 [ Request file ]

Bounds for Linear Recurrences with Restricted Coefficients
Kenneth S. Berenhaut and Robert Lund
Appeared in Journal of Inequalities in Pure and Applied Mathematics (2002).

Technical Report 2002-14 [ PS file ]

Renewal Convergence Rates for DHR and NWU Lifetimes
Kenneth S. Berenhaut and Robert Lund
To appear in Probability in the Engineering and Informational Sciences, 16 (2002),
no. 1, 67–84.

Technical Report 2002-15 [ PDF file ]

Score Tests for Heterogeneity and Overdispersion in Zero-Inflated Poisson and
Binomial Regression Models
Daniel B. Hall and Kenneth S. Berenhaut
To appear in Canadian Journal of Statistics, 30 (2002), no. 3.

Technical Report 2002-16 [ PDF file ]

Nonlinear Boundary Value Problems with Multiple Positive Solutions
John V. Baxley and Phillip T. Carroll
To appear in Continuous and Discrete Dynamical Systems.

Technical Report 2002-17 [ PDF file ]

On the Generalization of the Courant Nodal Domain Theory
Pavel Drabek and Stephen B. Robinson
Journal of Differential Equations 181, 58-71 (2002)

 

2001 Technical Reports

Technical Report 2001-1 [ PS
file
]

Low Rank
Circulant Approximation
Moody Chu and Robert Plemmons January
2001

Technical Report 2001-2 [
PDF file
]

Nonlinear
Initial Value Problems with Positive Global Solutions
John
V. Baxley and Cynthia G. Enloe Electronic Jounal of Differential
Equations, Conference 10, 2003.

Technical Report 2001-3 [
PS
file
]

Semi-Conjugate
Direction Methods for Nonsymmetric Systems
J.Y. Yuan,
G. H. Golub, R.J. Plemmons, and W.A.G. Cecilo November 2001

Technical Report 2001-4 [ PDF
file
]

Multiple
Positive Solutions of Nonlinear Boundary Value Problems
John
V. Baxley and Lyndsey Jessup Haywood Dynamics of Continuous, Discrete
and Impulsive Systems (10), 2003, Series A, 157-168.

Technical Report 2001-5 [ PDF
file
]

Hopf Down-up
Algebras
Ellen E. Kirkman and Ian M. Musson to appear in Journal
of Algebra (2001).

Technical Report 2001-6 [ PS
file
]

Geometric
Renewal Convergence Rates from Hazard Rates
Kenneth Berenhaut and
Robert Lund Journal of Applied Probability, 38 (2001), 180-194.

Technical Report 2001-7 [ Link ]

Kazhdan-Lusztig polynomials for
321-hexagon-avoiding permutations
Sara C. Billey and Gregory
S. Warrington Journal of Algebraic Combinatorics, 13, (2001)
111–136.

2000 Technical Reports

Technical Report 2000-1 [ PDF file ]

Analytic Functions and Boundary Values
Richard D. Carmichael and S. Pilipovic
April 2000

Technical Report 2000-2 [ PDF file ]

Examples of FCR-algebras
Ellen E. Kirkman and Lance W. Small
Communications in Algebra (30)(2002)(7), 3311-3326.

Technical Report 2000-3 [ PDF file ]

Extension of incompressible surfaces on the boundaries of 3-manifolds
Michael Freedman, Hugh Howards, and Ying-Qing Wu
Appeared in The Pacific Journal of Mathematics, 194 (2000), no. 2, 335–348.

Technical Report 2000-4 [ PDF file ]

The isoperimetric problem on surfaces of revolution of decreasing Gauss Curvature
Frank Morgan, Michael Hutchings, and Hugh Howards
Appeared in Trans of the AMS 52 (2000), no. 11, 4889–4909.

Technical Report 2000-5 [ PDF file ]

Knotted Spheres and Graphs in Balls
Hugh Nelson Howards
Appeared in Journal of Knot Theory and its Ramifications 9 (2000), no. 7, 917–937.

Technical Report 2000-6 [ PDF file ]

Positive Solutions of Singular Nonlinear Boundary Value Problems
John V. Baxley and Jenifer Clason Martin
Journal of Computational and Applied Mathematics (113), 2000, 381-399.

Technical Report 2000-7 [ PDF file ]

A Class of Singular Nonlinear Boundary Value Problems
John V. Baxley and Kristina Porazzi Sorrells
Mathematical and Computer Modelling, (32), 2000, 631-641.

Technical Report 2000-8 [ PDF file ]

Nonlinear Boundary Value Problems with Multiple Solutions
John V. Baxley and Lyndsey Jessup Haywood
Nonlinear Analysis (47), 2001,1187-1198.

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