Moody T Chu

A complex-valued gradient flow for the entangled bipartite low rank approximation

COMPUTER PHYSICS COMMUNICATIONS.

Low-rank approximation to entangled multipartite quantum systems

QUANTUM INFORMATION PROCESSING.

Rank-1 Approximation for Entangled Multipartite Real Systems

JOURNAL OF SCIENTIFIC COMPUTING.

NONLINEAR POWER-LIKE AND SVD-LIKE ITERATIVE SCHEMES WITH APPLICATIONS TO ENTANGLED BIPARTITE RANK-1 APPROXIMATION

SIAM JOURNAL ON SCIENTIFIC COMPUTING.

Nonlinear power-like iteration by polar decomposition and its application to tensor approximation

NUMERISCHE MATHEMATIK.

Structure-preserving isospectral transformation for total or partial decoupling of self-adjoint quadratic pencils

JOURNAL OF SOUND AND VIBRATION, 449, 157–171.

Convergence analysis of an SVD-based algorithm for the best rank-1 tensor approximation

LINEAR ALGEBRA AND ITS APPLICATIONS, 555, 53–69.

SVD-BASED ALGORITHMS FOR THE BEST RANK-1 APPROXIMATION OF A SYMMETRIC TENSOR

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 39(3), 1095–1115.

Markov chains with memory, tensor formulation, and the dynamics of power iteration

Applied Mathematics and Computation, 303, 226–239.

Solving an inverse eigenvalue problem with triple constraints on eigenvalues, singular values, and diagonal elements

Inverse Problems, 33(8).

On the first degree Fejer-Riesz factorization and its applications to X plus A*X(-1)A = Q

Linear Algebra and Its Applications, 489, 123–143.

A computational framework of gradient flows for general linear matrix equations

Numerical Algorithms, 68(1), 121–141.

Constructing optimal transition matrix for Markov chain Monte Carlo

Linear Algebra and Its Applications, 487, 184–202.

On the finite rank and finite-dimensional representation of bounded semi-infinite Hankel operators

IMA Journal of Numerical Analysis, 35(3), 1256–1276.

Orthogonal low rank tensor approximation: Alternating least squares method and its global convergence

SIAM Journal on Matrix Analysis and Applications, 36(1), 1–19.

A study of singular spectrum analysis with global optimization techniques

Journal of Global Optimization, 60(3), 551–574.

Attaining the optimal Gaussian diffusion acceleration

Journal of Statistical Physics, 155(3), 571–590.

Nonnegative rank factorization-a heuristic approach via rank reduction

Numerical Algorithms, 65(2), 251–274.

On the global convergence of the alternating least squares method for rank-one approximation to generic tensors

SIAM Journal on Matrix Analysis and Applications, 35(3), 1058–1072.

Tensor spline approximation in economic dynamics with uncertainties

Computational Economics, 42(2), 175–198.

Computing absolute maximum correlation

IMA Journal of Numerical Analysis, 32(1), 163–184.

Dynamical system characterization of the central path and its variants-a revisit

SIAM Journal on Applied Dynamical Systems, 10(3), 887–905.

Inverse mode problems for real and symmetric quadratic models

Inverse Problems, 26(6).

On the nonnegative rank of Euclidean distance matrices

Linear Algebra and Its Applications, 433(3), 681–689.

Semi-definite programming techniques for structured quadratic inverse eigenvalue problems

Numerical Algorithms, 53(4), 419–437.

Parameter reconstruction of vibration systems from partial eigeninformation

Journal of Sound and Vibration, 327(3-5), 391–401.

Quadratic model updating with symmetry, positive definiteness, and no spill-over

SIAM Journal on Matrix Analysis and Applications, 31(2), 546–564.

Spectral decomposition of real symmetric quadratic lambda-matrices and its applications

Mathematics of Computation, 78(265), 293–313.

Linear algebra algorithms as dynamical systems

Acta Numerica, 17, 1–86.

Spillover phenomenon in quadratic model updating

AIAA Journal, 46(2), 420–428.

Total decoupling of general quadratic pencils, Part I: Theory

Journal of Sound and Vibration, 309(1-2), 96–111.

Total decoupling of general quadratic pencils, Part II: Structure preserving isospectral flows

Journal of Sound and Vibration, 309(1-2), 112–128.

Low-dimensional polytope approximation and its applications to nonnegative matrix factorization

SIAM Journal on Scientific Computing, 30(3), 1131–1155.

Projected pseudotransient continuation

SIAM Journal on Numerical Analysis, 46(6), 3071–3083.

Structured quadratic inverse eigenvalue problem, I. Serially linked systems

SIAM Journal on Scientific Computing, 29(6), 2668–2685.

Updating quadratic models with no spillover effect on unmeasured spectral data

Inverse Problems, 23(1), 243–256.

Low rank update of singular values

Mathematics of Computation, 75(255), 1351–1366.

Reachable matrices by a QR step with shift

SIAM Journal on Applied Dynamical Systems, 5(1), 91–107.

Inverse Eigenvalue problems: Theory, algorithms, and applications

On computing minimal realizable spectral radii of non-negative matrices

Numerical Linear Algebra With Applications, 12(1), 77–86.

On the inverse problem of constructing symmetric pentadiagonal Toeplitz matrices from their three largest eigenvalues

Inverse Problems, 21(6), 1879–1894.

On the low-rank approximation of data on the unit sphere

SIAM Journal on Matrix Analysis and Applications, 27(1), 46–60.

Gradient flow methods for matrix completion with prescribed eigenvalues

Linear Algebra and Its Applications, 379(2004 Mar 1), 85–112.

On the semigroup of standard symplectic matrices and its applications

Linear Algebra and Its Applications, 389(Sep 15 2004), 215–225.

On inverse quadratic eigenvalue problems with partially prescribed eigenstructure

SIAM Journal on Matrix Analysis and Applications, 25(4), 995–1020.

On robust matrix completion with prescribed eigenvalues

Future Generations Computer Systems, 19(7), 1139–1153.

Real-valued, low rank, circulant approximation

SIAM Journal on Matrix Analysis and Applications, 24(3), 645–659.

Structured low rank approximation

Linear Algebra and Its Applications, 366(2003 Jun 1), 157–172.

The centroid decomposition: Relationships between discrete variational decompositions and SVDs

SIAM Journal on Matrix Analysis and Applications, 23(4), 1025–1044.

The orthogonally constrained regression revisited

Journal of Computational and Graphical Statistics, 10(4), 746–771.

A fast recursive algorithm for constructing matrices with prescribed eigenvalues and singular values

SIAM Journal on Numerical Analysis, 37(3), 1004–1020.

A mathematical framework for the linear reconstructor problem in adaptive optics

Linear Algebra and Its Applications, 316(1-3), 113–135.

On constructing matrices with prescribed singular values and diagonal elements

Linear Algebra and Its Applications, 288(1-3), 11–22.

A numerical method for the inverse stochastic spectrum problem

SIAM Journal on Matrix Analysis and Applications, 19(4), 1027–1039.

Cornelius Lanczos: Collected published papers with commentaries

Raleigh, NC: College of Physical and Mathematical Sciences, North Carolina State University.

Inverse eigenvalue problems

SIAM Review, 40(1), 1–39.

On a differential equation approach to the weighted or orthogonal Procrustes problem

Statistics and Computing, 8(2), 125–133.

On the least squares approximation of symmetric-definite pencils subject to generalized spectral constraints

SIAM Journal on Matrix Analysis and Applications, 19(1), 1–20.

On the optimal consistent approximation to pairwise comparison matrices

Linear Algebra and Its Applications, 272(1998 Mar. 15), 155–168.

Rank modifications of semidefinite matrices associated with asecant update formula

SIAM Journal on Matrix Analysis and Applications, 20(2), 428–436.

On a variational formulation of the generalized singular value decomposition

SIAM Journal on Matrix Analysis and Applications, 18(4), 1082–1092.