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2022 journal article
A complex-valued gradient flow for the entangled bipartite low rank approximation
COMPUTER PHYSICS COMMUNICATIONS, 271.
2022 journal article
Low-rank approximation to entangled multipartite quantum systems
QUANTUM INFORMATION PROCESSING, 21(4).
2022 journal article
Rank-1 Approximation for Entangled Multipartite Real Systems
JOURNAL OF SCIENTIFIC COMPUTING, 91(1).
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.
2020 article
Nonlinear power-like iteration by polar decomposition and its application to tensor approximation
NUMERISCHE MATHEMATIK.
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.
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.
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.
2017 journal article
Markov chains with memory, tensor formulation, and the dynamics of power iteration
Applied Mathematics and Computation, 303, 226–239.
2017 journal article
Solving an inverse eigenvalue problem with triple constraints on eigenvalues, singular values, and diagonal elements
Inverse Problems, 33(8).
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.
2015 journal article
A computational framework of gradient flows for general linear matrix equations
Numerical Algorithms, 68(1), 121–141.
2015 journal article
Constructing optimal transition matrix for Markov chain Monte Carlo
Linear Algebra and Its Applications, 487, 184–202.
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.
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.
2014 journal article
A study of singular spectrum analysis with global optimization techniques
Journal of Global Optimization, 60(3), 551–574.
2014 journal article
Attaining the optimal Gaussian diffusion acceleration
Journal of Statistical Physics, 155(3), 571–590.
2014 journal article
Nonnegative rank factorization-a heuristic approach via rank reduction
Numerical Algorithms, 65(2), 251–274.
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.
2013 journal article
Tensor spline approximation in economic dynamics with uncertainties
Computational Economics, 42(2), 175–198.
2012 journal article
Computing absolute maximum correlation
IMA Journal of Numerical Analysis, 32(1), 163–184.
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.
2010 journal article
Inverse mode problems for real and symmetric quadratic models
Inverse Problems, 26(6).
2010 journal article
On the nonnegative rank of Euclidean distance matrices
Linear Algebra and Its Applications, 433(3), 681–689.
2010 journal article
Semi-definite programming techniques for structured quadratic inverse eigenvalue problems
Numerical Algorithms, 53(4), 419–437.
2009 journal article
Parameter reconstruction of vibration systems from partial eigeninformation
Journal of Sound and Vibration, 327(3-5), 391–401.
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.
2009 journal article
Spectral decomposition of real symmetric quadratic lambda-matrices and its applications
Mathematics of Computation, 78(265), 293–313.
2008 journal article
Linear algebra algorithms as dynamical systems
Acta Numerica, 17, 1–86.
2008 journal article
Spillover phenomenon in quadratic model updating
AIAA Journal, 46(2), 420–428.
2008 journal article
Total decoupling of general quadratic pencils, Part I: Theory
Journal of Sound and Vibration, 309(1-2), 96–111.
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.
2007 journal article
Low-dimensional polytope approximation and its applications to nonnegative matrix factorization
SIAM Journal on Scientific Computing, 30(3), 1131–1155.
2007 journal article
Projected pseudotransient continuation
SIAM Journal on Numerical Analysis, 46(6), 3071–3083.
2007 journal article
Structured quadratic inverse eigenvalue problem, I. Serially linked systems
SIAM Journal on Scientific Computing, 29(6), 2668–2685.
2007 journal article
Updating quadratic models with no spillover effect on unmeasured spectral data
Inverse Problems, 23(1), 243–256.
2006 journal article
Low rank update of singular values
Mathematics of Computation, 75(255), 1351–1366.
2006 journal article
Reachable matrices by a QR step with shift
SIAM Journal on Applied Dynamical Systems, 5(1), 91–107.
2005 book
Inverse Eigenvalue problems: Theory, algorithms, and applications
2005 journal article
On computing minimal realizable spectral radii of non-negative matrices
Numerical Linear Algebra With Applications, 12(1), 77–86.
2005 journal article
On the inverse problem of constructing symmetric pentadiagonal Toeplitz matrices from their three largest eigenvalues
Inverse Problems, 21(6), 1879–1894.
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.
2004 journal article
Gradient flow methods for matrix completion with prescribed eigenvalues
Linear Algebra and Its Applications, 379(2004 Mar 1), 85–112.
2004 journal article
On the semigroup of standard symplectic matrices and its applications
Linear Algebra and Its Applications, 389(Sep 15 2004), 215–225.
2003 journal article
On inverse quadratic eigenvalue problems with partially prescribed eigenstructure
SIAM Journal on Matrix Analysis and Applications, 25(4), 995–1020.
2003 journal article
On robust matrix completion with prescribed eigenvalues
Future Generations Computer Systems, 19(7), 1139–1153.
2003 journal article
Real-valued, low rank, circulant approximation
SIAM Journal on Matrix Analysis and Applications, 24(3), 645–659.
2003 journal article
Structured low rank approximation
Linear Algebra and Its Applications, 366(2003 Jun 1), 157–172.
2002 journal article
The centroid decomposition: Relationships between discrete variational decompositions and SVDs
SIAM Journal on Matrix Analysis and Applications, 23(4), 1025–1044.
2001 journal article
The orthogonally constrained regression revisited
Journal of Computational and Graphical Statistics, 10(4), 746–771.
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.
2000 journal article
A mathematical framework for the linear reconstructor problem in adaptive optics
Linear Algebra and Its Applications, 316(1-3), 113–135.
1999 journal article
On constructing matrices with prescribed singular values and diagonal elements
Linear Algebra and Its Applications, 288(1-3), 11–22.
1998 journal article
A numerical method for the inverse stochastic spectrum problem
SIAM Journal on Matrix Analysis and Applications, 19(4), 1027–1039.
1998 book
Cornelius Lanczos: Collected published papers with commentaries
Raleigh, NC: College of Physical and Mathematical Sciences, North Carolina State University.
1998 journal article
Inverse eigenvalue problems
SIAM Review, 40(1), 1–39.
1998 journal article
On a differential equation approach to the weighted or orthogonal Procrustes problem
Statistics and Computing, 8(2), 125–133.
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.
1998 journal article
On the optimal consistent approximation to pairwise comparison matrices
Linear Algebra and Its Applications, 272(1998 Mar. 15), 155–168.
1998 journal article
Rank modifications of semidefinite matrices associated with asecant update formula
SIAM Journal on Matrix Analysis and Applications, 20(2), 428–436.
1997 journal article
On a variational formulation of the generalized singular value decomposition
SIAM Journal on Matrix Analysis and Applications, 18(4), 1082–1092.