Updated: September 30th, 2023 22:05

2023 journal article

An Innate Moving Frame on Parametric Surfaces: The Dynamics of Principal Singular Curves

*Mathematics*, *11*(15), 3306.

Sources: ORCID, Web Of Science, Crossref

Added: July 29, 2023

2023 journal article

Lax dynamics for Cartan decomposition with applications to Hamiltonian simulation

*IMA Journal of Numerical Analysis*, *4*, drad018.

author keywords: Hamiltonian simulation; Cartan decomposition; Lax dynamics; exponential map

Sources: Web Of Science, ORCID, Crossref

Added: May 9, 2023

2022 journal article

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

*COMPUTER PHYSICS COMMUNICATIONS*, *271*.

Sources: Web Of Science, ORCID

Added: March 7, 2022

2022 journal article

Low-rank approximation to entangled multipartite quantum systems

*QUANTUM INFORMATION PROCESSING*, *21*(4).

Sources: Web Of Science, ORCID

Added: April 18, 2022

2022 journal article

Rank-1 Approximation for Entangled Multipartite Real Systems

*JOURNAL OF SCIENTIFIC COMPUTING*, *91*(1).

Sources: Web Of Science, ORCID

Added: March 28, 2022

2021 journal article

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

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *43*(5), S448–S474.

Sources: Web Of Science, ORCID

Added: November 8, 2021

2020 journal article

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

*NUMERISCHE MATHEMATIK*, *144*(4), 729–749.

Sources: Web Of Science, ORCID

Added: April 6, 2020

2019 journal article

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

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

Sources: Web Of Science, ORCID

Added: April 22, 2019

2018 report

A theoretical consideration of matrix-operative alternating least squares methods for orthogonal CP tensor approximation

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

2018 report

Convergence analysis of alternating direction methods: A general framework and its applications to tensor approximations

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

2018 journal article

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

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

author keywords: Best rank-1 tensor approximation; Singular value decomposition

Sources: Web Of Science, ORCID

Added: October 19, 2018

2018 report

Decoupling of Lattice Vibration

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

2018 report

Global rank-1 approximation for order-3 tensors

[Preprint]. https://mtchu.math.ncsu.edu/Research/Papers/Rank1_Order3_Global.pdf

Source: NC State University Libraries

Added: September 30, 2023

2018 journal article

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

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

Sources: Web Of Science, ORCID

Added: January 7, 2019

2017 journal article

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

*APPLIED MATHEMATICS AND COMPUTATION*, *303*, 226–239.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2017 journal article

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

*INVERSE PROBLEMS*, *33*(8).

Sources: Web Of Science, ORCID

Added: August 6, 2018

2016 report

A Comment on the best rank-1 approximation of a symmetric tensor

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

2016 report

Numerical Methods for Gradient Dynamics

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

2016 report

On the adjoint of tensors

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

2016 report

On the dynamics of maximin flows

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

2016 journal article

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.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2015 journal article

A computational framework of gradient flows for general linear matrix equations

*NUMERICAL ALGORITHMS*, *68*(1), 121–141.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2015 journal article

Constructing optimal transition matrix for Markov chain Monte Carlo

*LINEAR ALGEBRA AND ITS APPLICATIONS*, *487*, 184–202.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2015 journal article

ORTHOGONAL LOW RANK TENSOR APPROXIMATION: ALTERNATING LEAST SQUARES METHOD AND ITS GLOBAL CONVERGENCE

*SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS*, *36*(1), 1–19.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2015 journal article

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

*IMA JOURNAL OF NUMERICAL ANALYSIS*, *35*(3), 1256–1276.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2014 journal article

A study of singular spectrum analysis with global optimization techniques

*JOURNAL OF GLOBAL OPTIMIZATION*, *60*(3), 551–574.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2014 journal article

Attaining the Optimal Gaussian Diffusion Acceleration

*JOURNAL OF STATISTICAL PHYSICS*, *155*(3), 571–590.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2014 journal article

Nonnegative rank factorization-a heuristic approach via rank reduction

*NUMERICAL ALGORITHMS*, *65*(2), 251–274.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2014 journal article

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.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2013 journal article

Tensor Spline Approximation in Economic Dynamics with Uncertainties

*COMPUTATIONAL ECONOMICS*, *42*(2), 175–198.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2012 journal article

Computing absolute maximum correlation

*IMA JOURNAL OF NUMERICAL ANALYSIS*, *32*(1), 163–184.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2011 journal article

ChemModLab: A web-based cheminformatics modeling laboratory

*In Silico Biology*, *11*(1-2), 61–81.

Source: ORCID

Added: July 4, 2023

2011 journal article

Dynamical System Characterization of the Central Path and Its Variants-A Revisit

*SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS*, *10*(3), 887–905.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2010 journal article

Inverse mode problems for real and symmetric quadratic models

*INVERSE PROBLEMS*, *26*(6).

Sources: Web Of Science, ORCID

Added: August 6, 2018

2010 journal article

On the nonnegative rank of Euclidean distance matrices

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

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2010 report

On the nonnegative rank of Euclidean distance matrices, II

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

2010 journal article

Semi-definite programming techniques for structured quadratic inverse eigenvalue problems

*NUMERICAL ALGORITHMS*, *53*(4), 419–437.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2009 report

Integer matrix factorization and its applications

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

2009 journal article

Parameter reconstruction of vibration systems from partial eigeninformation

*JOURNAL OF SOUND AND VIBRATION*, *327*(3-5), 391–401.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2009 journal article

QUADRATIC MODEL UPDATING WITH SYMMETRY, POSITIVE DEFINITENESS, AND NO SPILL-OVER

*SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS*, *31*(2), 546–564.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2009 journal article

SPECTRAL DECOMPOSITION OF REAL SYMMETRIC QUADRATIC lambda-MATRICES AND ITS APPLICATIONS

*MATHEMATICS OF COMPUTATION*, *78*(265), 293–313.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2008 conference paper

Data mining and applied linear algebra

*Proceedings - International Conference on Informatics Education and Research for Knowledge-Circulating Society, ICKS 2008*, 20–25.

Source: ORCID

Added: July 4, 2023

2008 journal article

Linear algebra algorithms as dynamical systems

*Acta Numerica*, *17*, 1–86.

Sources: Crossref, ORCID

Added: November 22, 2020

2008 journal article

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

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *30*(3), 1131–1155.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2008 journal article

PROJECTED PSEUDOTRANSIENT CONTINUATION

*SIAM JOURNAL ON NUMERICAL ANALYSIS*, *46*(6), 3071–3083.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2008 chapter

Quadratic Inverse Eigenvalue Problem and Its Applications to Model Updating — An Overview

In *Mathematics in Industry* (pp. 323–340).

Sources: Crossref, ORCID

Added: September 22, 2023

2008 chapter

Quadratic inverse eigenvalue problem and its applications to model updating - an overview

In *Model Order Reduction: Theory, Research Aspects and Applications*.

Source: ORCID

Added: August 13, 2023

2008 journal article

Spillover phenomenon in quadratic model updating

*AIAA JOURNAL*, *46*(2), 420–428.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2008 journal article

Total decoupling of general quadratic pencils, Part I: Theory

*JOURNAL OF SOUND AND VIBRATION*, *309*(1-2), 96–111.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2008 journal article

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

*JOURNAL OF SOUND AND VIBRATION*, *309*(1-2), 112–128.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2007 book

Inverse Eigenvalue Problems: Theory, Algorithms, and Applications

In *Inverse Eigenvalue Problems: Theory, Algorithms, and Applications* (Vol. 9780198566649, pp. 1–406).

Sources: ORCID, NC State University Libraries

Added: August 6, 2018

2007 journal article

On the estimation of the consumption matrix from inexact data in the leontief model

*Journal of Numerical Analysis, Industrial and Applied Mathematics*, *2*(3-4), 139–156. http://www.scopus.com/inward/record.url?eid=2-s2.0-84947050612&partnerID=MN8TOARS

Source: ORCID

Added: July 4, 2023

2007 journal article

Structured quadratic inverse eigenvalue problem, I. Serially linked systems

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *29*(6), 2668–2685.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2007 journal article

Updating quadratic models with no spillover effect on unmeasured spectral data

*INVERSE PROBLEMS*, *23*(1), 243–256.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2006 article

LOW RANK UPDATE OF SINGULAR VALUES

http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.153.6877

Source: ORCID

Added: July 4, 2023

2006 journal article

Low rank update of singular values

*Mathematics of Computation*, *75*(255), 1351–1367.

author keywords: singular values; low rank update; interlacing properties; pole assignment

Sources: Web Of Science, ORCID, Crossref

Added: August 6, 2018

2006 journal article

Reachable matrices by a QR step with shift

*SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS*, *5*(1), 91–107.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2005 article

Nonnegative Matrix Factorization And Applications

http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.61.7507

Source: ORCID

Added: July 4, 2023

2005 journal article

Nonnegative matrix factorization and applications

*IMAGE*. https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=73a543613d5eee22fd0172f5c1397ac23d8c09c0

Source: ORCID

Added: August 13, 2023

2005 journal article

Nonnegative matrix factorization and applications

*IMAGE*, *34*, 1–5.

Source: NC State University Libraries

Added: September 30, 2023

2005 journal article

On computing minimal realizable spectral radii of non-negative matrices

*NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS*, *12*(1), 77–86.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2005 journal article

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

*INVERSE PROBLEMS*, *21*(6), 1879–1894.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2005 journal article

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

*SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS*, *27*(1), 46–60.

Sources: ORCID, Web Of Science

Added: August 6, 2018

2005 report

Optimality, Computation and Interpretation of nonnegative matrix factorizations

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

2004 article

Gradient flow methods for matrix completion with prescribed eigenvalues

Chu, M. T., Diele, F., & Sgura, I. (2004, March 1). *LINEAR ALGEBRA AND ITS APPLICATIONS*, Vol. 379, pp. 85–112.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2004 report

Group theory, linear transformations, and flows: Dynamical systems on manifolds

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

2004 report

On the least squares Euclidean distance matrix approximation and completion

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

2004 journal article

On the semigroup of standard symplectic matrices and its applications

*LINEAR ALGEBRA AND ITS APPLICATIONS*, *389*(1-3), 215–225.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2004 article

SINGULAR VALUE REASSIGNMENT WITH LOW RANK MATRICES

http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.71.8290

Source: ORCID

Added: July 4, 2023

2004 article

SINGULAR VALUE REASSIGNMENT WITH LOW RANK MATRICES (DRAFT: June 11, 2004)

http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.61.6384

Source: ORCID

Added: July 4, 2023

2004 report

The effect of ties on convergence in the k-modes variants for clustering categorical data

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

2003 journal article

On inverse quadratic eigenvalue problems with partially prescribed eigenstructure

*SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS*, *25*(4), 995–1020.

Sources: ORCID, Web Of Science

Added: August 6, 2018

2003 journal article

On robust matrix completion with prescribed eigenvalues

*FUTURE GENERATION COMPUTER SYSTEMS*, *19*(7), 1139–1153.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2003 journal article

Real-valued, low rank, circulant approximation

*SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS*, *24*(3), 645–659.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2003 journal article

Structured low rank approximation

*LINEAR ALGEBRA AND ITS APPLICATIONS*, *366*(SPEC. ISS.), 157–172.

author keywords: structured matrix; low rank approximation; optimization techniques; Toeplitz matrix

Sources: Web Of Science, ORCID

Added: August 6, 2018

2002 journal article

Structured inverse eigenvalue problems

*Acta Numerica*, *11*, 1–71.

Source: ORCID

Added: July 4, 2023

2002 journal article

The centroid decomposition: Relationships between discrete variational decompositions and SVDs

*SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS*, *23*(4), 1025–1044.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2001 report

On the statistical meaning of truncated singular value decomposition

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

2001 journal article

The orthogonally constrained regression revisited

*JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS*, *10*(4), 746–771.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2000 journal article

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

*SIAM JOURNAL ON NUMERICAL ANALYSIS*, *37*(3), 1004–1020.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2000 journal article

A mathematical framework for the linear reconstructor problem in adaptive optics

*LINEAR ALGEBRA AND ITS APPLICATIONS*, *316*(1-3), 113–135.

Sources: Web Of Science, ORCID

Added: August 6, 2018

1999 journal article

A Continuous-Time Approach to the Oblique Procrustes Problem

*Behaviormetrika*, *26*(2), 167–181.

Sources: Crossref, ORCID

Added: September 22, 2023

1999 report

On an adaptive control algorithm for the adaptive optics problems

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

1999 journal article

On constructing matrices with prescribed singular values and diagonal elements

*LINEAR ALGEBRA AND ITS APPLICATIONS*, *288*(1-3), 11–22.

Sources: Web Of Science, ORCID

Added: August 6, 2018

1998 journal article

A numerical method for the inverse stochastic spectrum problem

*SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS*, *19*(4), 1027–1039.

Sources: Web Of Science, ORCID

Added: August 6, 2018

1998 conference paper

Approximation by structured lower rank matrices

*Proceedings of SPIE - The International Society for Optical Engineering*, *3461*, 268–279.

Source: ORCID

Added: July 4, 2023

1998 book

Cornelius Lanczos: Collected published papers with commentaries

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

Source: NC State University Libraries

Added: August 6, 2018

1998 review

Inverse eigenvalue problems

[Review of ]. *SIAM REVIEW*, *40*(1), 1–39.

Sources: Web Of Science, ORCID

Added: August 6, 2018

1998 journal article

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

*STATISTICS AND COMPUTING*, *8*(2), 125–133.

Sources: Web Of Science, ORCID

Added: August 6, 2018

1998 journal article

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.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

1998 journal article

On the optimal consistent approximation to pairwise comparison matrices

*LINEAR ALGEBRA AND ITS APPLICATIONS*, *272*(1-3), 155–168.

Sources: Web Of Science, ORCID

Added: August 6, 2018

1998 journal article

Orthomax Rotation Problem. A Differential Equation Approach

*Behaviormetrika*, *25*(1), 13–23.

Sources: ORCID, Crossref

Added: July 4, 2023

1998 journal article

Rank modifications of semidefinite matrices associated with a secant update formula

*SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS*, *20*(2), 428–436.

Sources: Web Of Science, ORCID

Added: August 6, 2018

1997 journal article

On a variational formulation of the generalized singular value decomposition

*SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS*, *18*(4), 1082–1092.

Sources: Web Of Science, ORCID

Added: August 6, 2018

1996 journal article

On the least squares solution of inverse eigenvalue problems

*SIAM Journal on Numerical Analysis*, *33*(6), 2417–2430.

Source: ORCID

Added: July 4, 2023

1995 journal article

A list of matrix flows with applications

*Hamiltonian and Gradient Flows, Algorithms and Control*, 87–97.

Source: Crossref

Added: September 22, 2023

1995 journal article

Constructing a Hermitian Matrix from Its Diagonal Entries and Eigenvalues

*SIAM Journal on Matrix Analysis and Applications*, *16*(1), 207–217.

Source: ORCID

Added: August 13, 2023

1995 report

Numerical methods for adaptive-optics systems

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

1995 report

On a new geometric meaning of the BFGS update

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

1995 report

On the refinement of a Newton method for the inverse Toeplitz eigenvalue Problem

[Preprint].

Source: NC State University Libraries

Added: September 30, 2023

1995 journal article

Rank-one reduction formula and its applications to matrix factorizations

*SIAM Review*, *37*(4), 512–530.

Source: ORCID

Added: July 4, 2023

1995 journal article

Scaled Toda-like flows

*Linear Algebra and Its Applications*, *215*(C), 261–273.

Source: ORCID

Added: July 4, 2023

1995 journal article

The educational testing problem revisited

*IMA Journal of Numerical Analysis*, *15*(1), 141–160.

Source: ORCID

Added: July 4, 2023

1994 chapter

A list of matrix flows with applications

In *Hamiltonian and Gradient Flows, Algorithms and Control*. https://bookstore.ams.org/fic-3

Source: ORCID

Added: August 13, 2023

1994 book

Proceedings of the Cornelius Lanczos International Centenary Conference

Philadelphia, PA: SIAM.

Source: NC State University Libraries

Added: September 30, 2023

1994 journal article

Symmetric Toeplitz Matrices with Two Prescribed Eigenpairs

*SIAM Journal on Matrix Analysis and Applications*, *15*(2), 623–635.

Source: ORCID

Added: August 13, 2023

1993 journal article

On a Multivariate Eigenvalue Problem, Part I: Algebraic Theory and a Power Method

*SIAM Journal on Scientific Computing*, *14*(5), 1089–1106.

Source: ORCID

Added: August 13, 2023

1993 journal article

The stability group of symmetric Toeplitz matrices

*Linear Algebra and Its Applications*, *185*(C), 119–123.

Source: ORCID

Added: July 4, 2023

1992 journal article

Matrix differential equations: a continuous realization process for linear algebra problems

*Nonlinear Analysis*, *18*(12), 1125–1146.

Source: ORCID

Added: July 4, 2023

1992 journal article

Numerical methods for inverse singular value problems

*SIAM Journal on Numerical Analysis*, *29*(3), 885–903.

Source: ORCID

Added: July 4, 2023

1991 journal article

A continuous Jacobi-like approach to the simultaneous reduction of real matrices

*Linear Algebra and Its Applications*, *147*(C), 75–96.

Source: ORCID

Added: July 4, 2023

1991 journal article

Constructing Symmetric Nonnegative Matrices with Prescribed Eigenvalues by Differential Equations

*SIAM Journal on Mathematical Analysis*, *22*(5), 1372–1387.

Source: ORCID

Added: August 13, 2023

1991 journal article

Least Squares Approximation by Real Normal Matrices with Specified Spectrum

*SIAM Journal on Matrix Analysis and Applications*, *12*(1), 115–127.

Source: ORCID

Added: August 13, 2023

1990 journal article

Projected gradient method for least squares matrix approximations with spectral constraints

*SIAM Journal on Numerical Analysis*, *27*(4), 1050–1060.

Source: ORCID

Added: July 4, 2023

1990 journal article

Solving additive inverse eigenvalue problems for symmetric matrices by the homotopy method

*IMA Journal of Numerical Analysis*, *10*(3), 331–342.

Source: ORCID

Added: July 4, 2023

1989 journal article

A numerical method for solving interface problems arising in two-point boundary value problems

*Computer Methods in Applied Mechanics and Engineering*, *74*(1), 99–113.

Source: ORCID

Added: July 4, 2023

1988 report

A derivative-free iterative method for locating the hand position of a robot manipulator

(No. MCSP48-0189). Argonne National Laboratory.

Source: NC State University Libraries

Added: September 22, 2023

1988 journal article

A note on the homotopy method for linear algebraic eigenvalue problems

*Linear Algebra and Its Applications*, *105*(C), 225–236.

Source: ORCID

Added: July 4, 2023

1988 journal article

Homotopy Method for General $\lambda $-Matrix Problems

*SIAM Journal on Matrix Analysis and Applications*, *9*(4), 528–536.

Source: ORCID

Added: August 13, 2023

1988 journal article

Isospectral Flows and Abstract Matrix Factorizations

*SIAM Journal on Numerical Analysis*, *25*(6), 1383–1391.

Source: ORCID

Added: August 13, 2023

1988 journal article

On the continuous realization of iterative processes

*SIAM Review*, *30*(3), 375–387.

Source: ORCID

Added: July 4, 2023

1987 journal article

Parallel Solution of ODE’s by Multiblock Methods

*SIAM Journal on Scientific and Statistical Computing*, *8*(3), 342–353.

Source: ORCID

Added: August 13, 2023

1986 journal article

A continuous approximation to the generalized Schur decomposition

*Linear Algebra and Its Applications*, *78*(C), 119–132.

Source: ORCID

Added: July 4, 2023

1986 journal article

A differential equation approach to the singular value decomposition of bidiagonal matrices

*Linear Algebra and Its Applications*, *80*(C), 71–79.

Source: ORCID

Added: July 4, 2023

1986 journal article

Curves on $S^{n - 1} $ That Lead to Eigenvalues or Their Means of a Matrix

*SIAM Journal on Algebraic Discrete Methods*, *7*(3), 425–432.

Source: ORCID

Added: August 13, 2023

1985 journal article

Asymptotic analysis of Toda lattice on diagonalizable matrices

*Nonlinear Analysis*, *9*(2), 193–201.

Source: ORCID

Added: July 4, 2023

1985 journal article

Symbolic calculation of the trace of the power of a tridiagonal matrix

*Computing*, *35*(3-4), 257–268.

Source: ORCID

Added: July 4, 2023

1984 journal article

A simple application of the homotopy method to symmetric eigenvalue problems

*Linear Algebra and Its Applications*, *59*(C), 85–90.

Source: ORCID

Added: July 4, 2023

1984 journal article

On the Global Convergence of the Toda Lattice for Real Normal Matrices and Its Applications to the Eigenvalue Problem

*SIAM Journal on Mathematical Analysis*, *15*(1), 98–104.

Sources: ORCID, Crossref

Added: August 13, 2023

1984 journal article

The Generalized Toda Flow, the QR Algorithm and the Center Manifold Theory

*SIAM Journal on Algebraic Discrete Methods*, *5*(2), 187–201.

Source: ORCID

Added: August 13, 2023

1983 journal article

An automatic multistep method for solving stiff initial value problems

*Journal of Computational and Applied Mathematics*, *9*(3), 229–238.

Source: ORCID

Added: July 4, 2023

1983 journal article

On a numerical treatment for the curve-tracing of the homotopy method

*Numerische Mathematik*, *42*(3), 323–329.

Source: ORCID

Added: July 4, 2023

article

Data Mining and Applied Linear Algebra

Chu, M. http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.149.6302

Source: ORCID

Added: July 4, 2023

article

Low Rank Circulant Approximation

Plemmonsy, M. C. http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.61.6788

Source: ORCID

Added: July 4, 2023

article

REAL SYMMETRIC QUADRATIC MODEL UPDATING THAT PRESERVES POSITIVE DEFINITENESS AND NO SPILL-OVER

Chu, D., Chu, M., & Lin, W.-wei. http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.149.5746

Source: ORCID

Added: July 4, 2023

article

Rank Modifications Of Semi-Definite Matrices With Applications To Secant Updates

Chu, M., Funderlic, R. E., Gene, & Golub, H. http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.47.6137

Source: ORCID

Added: July 4, 2023

Funding history based on the linked ORCID record. Updated: September 22nd, 2020 22:04

grant
July 1, 2019 - June 30, 2022

From Quantum Entanglement to Tensor Decomposition by Global Optimization

Directorate for Mathematical & Physical Sciences

grant
September 15, 2013 - August 31, 2017

Numerical Algorithms as Dynamcal Systems - Structure Preservation, Convergence Theory, and Rediscretization

Directorate for Mathematical & Physical Sciences

grant
September 1, 2010 - August 31, 2014

Automated Structure Generation, Error Correction, and Semi-Definite Programming Techniques for Structured Quadratic Inverse Eigenvale Problems: Theory, Algorithms and Applications

Directorate for Mathematical & Physical Sciences

grant
October 1, 2007 - September 30, 2011

MSPA-MCS: Collaborative Research: Fast Nonnegative Matrix Factorizations: Theory, Algorithms, and Applications

Directorate for Computer & Information Science & Engineering

grant
August 1, 2005 - July 31, 2010

Collaborative Proposal: Quadratic Inverse Eigenvalue Problems for Model Updating in Science and Engineering: Theory and Computation

Directorate for Mathematical & Physical Sciences

grant
July 1, 2002 - June 30, 2007

The Centroid Decomposition and Other Approximations to the SVD

Directorate for Computer & Information Science & Engineering

grant
August 1, 2000 - July 31, 2004

Algorithms for the Inverse Problem of Matrix Construction

Directorate for Mathematical & Physical Sciences

grant
July 1, 1998 - May 31, 2002

Adaptive Control Algorithms for Adaptive Optics Applications

Directorate for Mathematical & Physical Sciences

grant
May 15, 1995 - April 30, 1999

Mathematical Sciences: Inverse Eigenvalue Problems

Directorate for Mathematical & Physical Sciences

grant
June 1, 1993 - November 30, 1994

Mathematical Sciences: Lanczos International Centenary Conference

Directorate for Mathematical & Physical Sciences

grant
July 1, 1992 - June 30, 1996

Mathematical Sciences: Matrix Differential Equations and Their Applications

Directorate for Mathematical & Physical Sciences

grant
July 1, 1990 - December 31, 1992

Mathematical Sciences: Matrix Differential Equations and Their Applications

Directorate for Mathematical & Physical Sciences

grant
July 1, 1986 - June 30, 1988

Mathematical Sciences: Parallel Multi-Block Methods for Ordinary Differential Equations

Directorate for Mathematical & Physical Sciences