Chu, Moody T.- Department of Mathematics, North Carolina State University

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Chu, Moody T.- Department of Mathematics, North Carolina State University

LOW DIMENSIONAL POLYTOPE APPROXIMATION AND ITS APPLICATIONS TO NONNEGATIVE MATRIX FACTORIZATION
A RANK-ONE REDUCTION FORMULA AND ITS APPLICATIONS TO MATRIX FACTORIZATIONS
ESTIMATING THE CONSUMPTION MATRIX FROM INEXACT DATA IN THE LEONTIEF MODEL
ON A PARTIALLY DESCRIBED INVERSE QUADRATIC EIGENVALUE MOODY T. CHU # , YUENCHENG KUO + , AND WENWEI LIN #
Scaled Todalike Flows Moody T. Chu 1
ON THE INVERSE PROBLEM OF CONSTRUCTING SYMMETRIC PENTADIAGONAL TOEPLITZ MATRICES
Nonlinear Andysir, Theory, Mefhodr & Applicdom, Vol. 9, No. 2, pp. 193-201, 1985. 0362~546)5/85 53.00 + .CNI Printed in Great Britain. 0 1985 Pergamon Press Ltd.
A Continuous Approximation to the Generalized Schur Decomposition
A Differential Equation Approach to the Singular Value Decomposition of Bidiagonal Matrices
A Note on the Homotopy Method for Linear Algebraic Eigenvalue Problems
SIAM J. NUMER. ANAL. Vol. 25, No. 6, December 1988
SIAM J. NUMER. ANAL. Vol. 27, No. 4, pp. 1050-1060, August 1990
Least Squares Approximation by Real Normal Matrices with Speci ed Spectrum
MATRIX DIFFERENTIAL EQUATIONS: A CONTINUOUS REALIZATION PROCESS
ON THE INVERSE EIGENVALUE PROBLEM FOR REAL CIRCULANT MATRICES
ON THE LEAST SQUARES SOLUTION OF INVERSE EIGENVALUE PROBLEMS
INVERSE EIGENVALUE PROBLEMS MOODY T. CHU
A NUMERICAL METHOD FOR THE INVERSE STOCHASTIC SPECTRUM PROBLEM
THE ORTHOGONALLY CONSTRAINED REGRESSION REVISITED MOODY T. CHU AND NICKOLAY T. TRENDAFILOVy
On a Di erential Equation Approach to the Weighted Orthogonal Procrustes
STRUCTURED LOW RANK APPROXIMATION MOODY T. CHU, ROBERT E. FUNDERLIC, AND ROBERT J. PLEMMONS
REAL-VALUED, LOW RANK, CIRCULANT APPROXIMATION MOODY T. CHU AND ROBERT J. PLEMMONS
ON THE STATISTICAL MEANING OF TRUNCATED SINGULAR VALUE DECOMPOSITION
ON LEAST SQUARES EUCLIDEAN DISTANCE MATRIX APPROXIMATION AND COMPLETION
ON THE SEMIGROUP OF STANDARD SYMPLECTIC MATRICES AND ITS APPLICATIONS
ON THE LOW-RANK APPROXIMATION OF DATA ON THE UNIT SPHERE M. CHU, N. DEL BUONO, L. LOPEZ, AND T. POLITI
GROUP ACTIONS, LINEAR TRANSFORMATIONS, AND FLOWS MOODY T. CHU
MATHEMATICS OF COMPUTATION S 0025-5718(08)02128-5
STRUCTURED QUADRATIC INVERSE EIGENVALUE PROBLEM, II. GENERALLY LINKED SYSTEMS
COMPUTING ABSOLUTE MAXIMUM CORRELATION LEI-HONG ZHANG AND MOODY T. CHU
INVERSE MODE PROBLEM FOR REAL AND SYMMETRIC QUADRATIC MODELS
ON A VARIATIONAL FORMULATION OF THE GENERALIZED SINGULAR VALUE DECOMPOSITION
SIAM J. MATRIX ANAL. APPL. Vol. 9, No. 4, October 1988
ON THE STATISTICAL MEANING OF TRUNCATED SINGULAR VALUE DECOMPOSITION
THE SPILLOVER PHENOMENON IN QUADRATIC MODEL UPDATING DRAFT AS OF April 3, 2007
QUADRATIC INVERSE EIGENVALUE PROBLEM AND ITS APPLICATIONS TO MODEL UPDATING ---AN OVERVIEW
On a Multivariate Eigenvalue Problem: I. Algebraic Theory and a Power Method
A MATHEMATICAL FRAMEWORK FOR THE LINEAR RECONSTRUCTOR PROBLEM IN ADAPTIVE OPTICS
Numerical Methods for Inverse Singular Value Problems
Integer Matrix Factorization and Its Application
Constructing a Hermitian Matrix from Its Diagonal Entries and Eigenvalues
REACHABLE MATRICES BY THE QR ITERATION WITH SHIFT DELIN CHU AND MOODY CHU
A Continuous Jacobi-like Approach to the Simultaneous Reduction of Real Matrices
Least Squares Approximation by Real Normal Matrices with Specified Spectrum
ON INVERSE QUADRATIC EIGENVALUE PROBLEMS WITH PARTIALLY PRESCRIBED EIGENSTRUCTURE
RANK MODIFICATIONS OF SEMIDEFINITE MATRICES WITH APPLICATIONS TO SECANT UPDATES
A NUMERICAL METHOD FOR THE INVERSE STOCHASTIC SPECTRUM PROBLEM
A MATHEMATICAL FRAMEWORK FOR THE LINEAR RECONSTRUCTOR PROBLEM IN ADAPTIVE OPTICS
Numer. Math. 42, 323-329(1983) Numerische 9 Springer-Verlag1983
SPLINE APPROXIMATION OF POLICY FUNCTIONS IN ECONOMIC DYNAMICS WITH UNCERTAINTIES
MATRIX DIFFERENTIAL EQUATIONS: A CONTINUOUS REALIZATION PROCESS
Data Mining and Applied Linear Algebra Department of Mathematics
The Educational Testing Problem Revisited Moody T. Chu 1 and Joel W. Wright
On the Differential Equation = [X; k(X)]
ON A NEWTON METHOD FOR THE INVERSE TOEPLITZ EIGENVALUE PROBLEM
A DerivativeFree Iterative Method for Locating the Hand Position of a Robot
A Study of the E#ect of Ties in the kmodes Algorithm for Categorical data
A Simple Application of the Homotopy Method to Symmetric Eigenvalue Problems
A Derivative-Free Iterative Method for Locating the Hand Position of a Robot
SINGULAR VALUE REASSIGNMENT WITH LOW RANK MATRICES (DRAFT: June 11, 2004)
TOTAL DECOUPLING OF GENERAL QUADRATIC PENCILS, PART I: THEORY
On Computing Minimal Realizable Spectral Radii of Nonnegative Matrices
Numerical Methods for Inverse Singular Value Problems
ON THE LOWRANK APPROXIMATION OF DATA ON THE UNIT SPHERE M. CHU # , N. DEL BUONO + , L. LOPEZ # , AND T. POLITI
Constructing a Hermitian Matrix from Its Diagonal Entries and Eigenvalues
SINGULAR VALUE REASSIGNMENT WITH LOW RANK MATRICES (DRAFT: June 11, 2004)
A FAST RECURSIVE ALGORITHM FOR CONSTRUCTING MATRICES WITH PRESCRIBED
ON THE INVERSE EIGENVALUE PROBLEM FOR REAL CIRCULANT MATRICES
THE CENTROID DECOMPOSITION: RELATIONSHIPS BETWEEN DISCRETE VARIATIONAL DECOMPOSITIONS AND SVD
RANK MODIFICATIONS OF SEMI-DEFINITE MATRICES WITH APPLICATIONS TO SECANT UPDATES
Convergence and Other Aspects of the k-modes Algorithm for Clustering Categorical data
over04.tex" THE SPILL-OVER PHENOMENON IN QUADRATIC MODEL UPDATING
ON CONSTRUCTING MATRICES WITH PRESCRIBED SINGULAR VALUES AND DIAGONAL ELEMENTS
Constructing Symmetric Nonnegative Matrices with Prescribed Eigenvalues by Differential Equations
A FAST RECURSIVE ALGORITHM FOR CONSTRUCTING MATRICES WITH PRESCRIBED
ON THE INVERSE PROBLEM OF CONSTRUCTING SYMMETRIC PENTADIAGONAL TOEPLITZ MATRICES
A Continuous Jacobilike Approach to the Simultaneous Reduction of Real Matrices
STRUCTURED LOW RANK APPROXIMATION MOODY T. CHU # , ROBERT E. FUNDERLIC + , AND ROBERT J. PLEMMONS #
ON AN ADAPTIVE CONTROL ALGORITHM FOR ADAPTIVE OPTICS APPLICATIONS
On a Differential Equation Approach to the Weighted Orthogonal Procrustes
DYNAMICAL SYSTEM CHARACTERIZATION OF THE CENTRAL PATH AND ITS VARIANTS --A REVISIT
INVERSE EIGENVALUE PROBLEMS MOODY T. CHU \Lambda
ON THE OPTIMAL CONSISTENT APPROXIMATION TO PAIRWISE COMPARISON MATRICES
ON A VARIATIONAL FORMULATION OF THE GENERALIZED SINGULAR VALUE DECOMPOSITION
ON THE LEAST SQUARES APPROXIMATION OF SYMMETRIC-DEFINITE PENCILS SUBJECT TO
ON A PARTIALLY DESCRIBED INVERSE QUADRATIC EIGENVALUE MOODY T. CHU, YUEN-CHENG KUO, AND WEN-WEI LIN
NONNEGATIVE RANK FACTORIZATION VIA RANK REDUCTION BO DONG, MATTHEW M. LIN, AND MOODY T. CHU
On Computing Minimal Realizable Spectral Radii of Nonnegative Matrices
ON A NEWTON METHOD FOR THE INVERSE TOEPLITZ EIGENVALUE PROBLEM
A RANKONE REDUCTION FORMULA AND ITS APPLICATIONS TO MATRIX FACTORIZATIONS
REACHABLE MATRICES BY THE QR ITERATION WITH SHIFT DELIN CHU # AND MOODY CHU +
ON CONSTRUCTING MATRICES WITH PRESCRIBED SINGULAR VALUES AND DIAGONAL ELEMENTS
NONNEGATIVE MATRIX FACTORIZATION AND APPLICATIONS MOODY CHU and ROBERT PLEMMONS
The Projected Gradient Method for Least Squares Matrix Approximations with
ON A GEOMETRIC INTERPRETATION OF THE POSITIVE DEFINITE SECANT UPDATES BFGS AND DFP FROM THE
LOW RANK CIRCULANT APPROXIMATION MOODY T. CHU \Lambda
GRADIENT FLOW METHODS FOR MATRIX COMPLETION WITH PRESCRIBED EIGENVALUES
TOTAL DECOUPLING OF GENERAL QUADRATIC PENCILS, PART II: STRUCTURE PRESERVING ISOSPECTRAL FLOWS
THE CENTROID DECOMPOSITION: RELATIONSHIPS BETWEEN DISCRETE VARIATIONAL DECOMPOSITIONS AND SVDs
On a Multivariate Eigenvalue Problem: I. Algebraic Theory and a Power Method
REAL SYMMETRIC QUADRATIC MODEL UPDATING THAT PRESERVES POSITIVE DEFINITENESS AND NO SPILL-OVER
Acta Numerica (2008), pp. 001 c Cambridge University Press, 2008 doi: 10.1017/S0962492904 Printed in the United Kingdom
QUADRATIC INVERSE EIGENVALUE PROBLEM AND ITS APPLICATIONS TO MODEL UPDATING --AN OVERVIEW
Scaled Toda-like Flows Moody T. Chu 1
Acta Numerica (2008), pp. 001--c # Cambridge University Press, 2008
OPTIMALITY, COMPUTATION, AND INTERPRETATION OF NONNEGATIVE MATRIX FACTORIZATIONS
On the Nonnegative Rank of Euclidean Distance Matrices, II Moody T. Chu,1
ON AN ADAPTIVE CONTROL ALGORITHM FOR ADAPTIVE OPTICS APPLICATIONS
On the Nonnegative Rank of Euclidean Distance Matrices Matthew M. Lin1
ON INVERSE QUADRATIC EIGENVALUE PROBLEMS WITH PARTIALLY PRESCRIBED EIGENSTRUCTURE
GROUP ACTIONS, LINEAR TRANSFORMATIONS, AND FLOWS MOODY T. CHU #
Symmetric Toeplitz Matrices with Two Prescribed Moody T. Chu 1 and Melissa A. Erbrecht
A List of Matrix Flows with Applications Moody T. Chu
NONNEGATIVE MATRIX FACTORIZATION AND APPLICATIONS MOODY CHU and ROBERT PLEMMONS
TOTAL DECOUPLING OF GENERAL QUADRATIC PENCILS, PART I: THEORY
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 74 (1989) 99-113 NORTH-HOLLAND
Acta Numerica (2002), pp. 1{71 c Cambridge University Press, 2002
OPTIMALITY, COMPUTATION, AND INTERPRETATION OF NONNEGATIVE MATRIX FACTORIZATIONS
ON THE SEMIGROUP OF STANDARD SYMPLECTIC MATRICES AND ITS APPLICATIONS
ESTIMATING THE CONSUMPTION MATRIX FROM INEXACT DATA IN THE LEONTIEF MODEL
ON THE LEAST SQUARES APPROXIMATION OF SYMMETRICDEFINITE PENCILS SUBJECT TO
TOTAL DECOUPLING OF GENERAL QUADRATIC PENCILS, PART II: STRUCTURE PRESERVING ISOSPECTRAL FLOWS
ON THE OPTIMAL CONSISTENT APPROXIMATION TO PAIRWISE COMPARISON MATRICES
ON THE LEAST SQUARES SOLUTION OF INVERSE EIGENVALUE PROBLEMS
Symmetric Toeplitz Matrices with Two Prescribed Moody T. Chu 1
SEMI-DEFINITE PROGRAMMING TECHNIQUES FOR STRUCTURED QUADRATIC INVERSE EIGENVALUE PROBLEMS
The Stability Group of Symmetric Toeplitz Moody T. Chu 1
The Educational Testing Problem Revisited Moody T. Chu 1 and Joel W. Wright
ON LEAST SQUARES EUCLIDEAN DISTANCE MATRIX APPROXIMATION AND COMPLETION
THE ORTHOGONALLY CONSTRAINED REGRESSION REVISITED MOODY T. CHU \Lambda AND NICKOLAY T. TRENDAFILOV y
A List of Matrix Flows with Applications Moody T. Chu \Lambda
STRUCTURED QUADRATIC INVERSE EIGENVALUE PROBLEM, I. SERIALLY LINKED SYSTEMS
PROJECTED PSEUDO-TRANSIENT CONTINUATION C. T. KELLEY, LI-ZHI LIAO, LIQUN QI, MOODY T. CHU , J. P. REESE, AND C. WINTON
Journal of Computational and Applied Mathematics 9 (1983) 229-238 North-Holland
SlAM J. MATH. ANAL. Vol. 15, No. I, January 1984
INSTITUTE OF PHYSICS PUBLISHING INVERSE PROBLEMS Inverse Problems 23 (2007) 243256 doi:10.1088/0266-5611/23/1/013
The Stability Group of Symmetric Toeplitz Moody T. Chu 1
ON A GEOMETRIC INTERPRETATION OF THE POSITIVE DEFINITE SECANT UPDATES BFGS AND DFP FROM THE
On the Di erential Equation dt = X k(X)]
On Robust Matrix Completion with Prescribed Eigenvalues