Is this your profile?

Claim your Citation Index profile in order to display more information about you and gain access to Libraries services. Just create or connect your ORCID iD.

Create or connect your ORCID iD

2022 journal article

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

*COMPUTER PHYSICS COMMUNICATIONS*, *271*.

Source: Web Of Science

Added: March 7, 2022

2022 journal article

Low-rank approximation to entangled multipartite quantum systems

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

Source: Web Of Science

Added: April 18, 2022

2022 journal article

Rank-1 Approximation for Entangled Multipartite Real Systems

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

Source: Web Of Science

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.

Source: Web Of Science

Added: November 8, 2021

2020 article

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

*NUMERISCHE MATHEMATIK*.

Source: Web Of Science

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.

Source: Web Of Science

Added: April 22, 2019

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.

Source: NC State University Libraries

Added: October 19, 2018

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.

Source: NC State University Libraries

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.

Source: NC State University Libraries

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).

Source: NC State University Libraries

Added: August 6, 2018

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.

Source: NC State University Libraries

Added: August 6, 2018

2015 journal article

A computational framework of gradient flows for general linear matrix equations

*Numerical Algorithms*, *68*(1), 121–141.

Source: NC State University Libraries

Added: August 6, 2018

2015 journal article

Constructing optimal transition matrix for Markov chain Monte Carlo

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

Source: NC State University Libraries

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.

Source: NC State University Libraries

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.

Source: NC State University Libraries

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.

Source: NC State University Libraries

Added: August 6, 2018

2014 journal article

Attaining the optimal Gaussian diffusion acceleration

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

Source: NC State University Libraries

Added: August 6, 2018

2014 journal article

Nonnegative rank factorization-a heuristic approach via rank reduction

*Numerical Algorithms*, *65*(2), 251–274.

Source: NC State University Libraries

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.

Source: NC State University Libraries

Added: August 6, 2018

2013 journal article

Tensor spline approximation in economic dynamics with uncertainties

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

Source: NC State University Libraries

Added: August 6, 2018

2012 journal article

Computing absolute maximum correlation

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

Source: NC State University Libraries

Added: August 6, 2018

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.

Source: NC State University Libraries

Added: August 6, 2018

2010 journal article

Inverse mode problems for real and symmetric quadratic models

*Inverse Problems*, *26*(6).

Source: NC State University Libraries

Added: August 6, 2018

2010 journal article

On the nonnegative rank of Euclidean distance matrices

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

Source: NC State University Libraries

Added: August 6, 2018

2010 journal article

Semi-definite programming techniques for structured quadratic inverse eigenvalue problems

*Numerical Algorithms*, *53*(4), 419–437.

Source: NC State University Libraries

Added: August 6, 2018

2009 journal article

Parameter reconstruction of vibration systems from partial eigeninformation

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

Source: NC State University Libraries

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.

Source: NC State University Libraries

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.

Source: NC State University Libraries

Added: August 6, 2018

2008 journal article

Linear algebra algorithms as dynamical systems

*Acta Numerica*, *17*, 1–86.

Source: Crossref

Added: November 22, 2020

2008 journal article

Spillover phenomenon in quadratic model updating

*AIAA Journal*, *46*(2), 420–428.

Source: NC State University Libraries

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.

Source: NC State University Libraries

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.

Source: NC State University Libraries

Added: August 6, 2018

2007 journal article

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

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

Source: NC State University Libraries

Added: August 6, 2018

2007 journal article

Projected pseudotransient continuation

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

Source: NC State University Libraries

Added: August 6, 2018

2007 journal article

Structured quadratic inverse eigenvalue problem, I. Serially linked systems

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

Source: NC State University Libraries

Added: August 6, 2018

2007 journal article

Updating quadratic models with no spillover effect on unmeasured spectral data

*Inverse Problems*, *23*(1), 243–256.

Source: NC State University Libraries

Added: August 6, 2018

2006 journal article

Low rank update of singular values

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

Source: NC State University Libraries

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.

Source: NC State University Libraries

Added: August 6, 2018

2005 book

Inverse Eigenvalue problems: Theory, algorithms, and applications

Source: NC State University Libraries

Added: August 6, 2018

2005 journal article

On computing minimal realizable spectral radii of non-negative matrices

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

Source: NC State University Libraries

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.

Source: NC State University Libraries

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.

Source: NC State University Libraries

Added: August 6, 2018

2004 journal article

Gradient flow methods for matrix completion with prescribed eigenvalues

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

Source: NC State University Libraries

Added: August 6, 2018

2004 journal article

On the semigroup of standard symplectic matrices and its applications

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

Source: NC State University Libraries

Added: August 6, 2018

2003 journal article

On inverse quadratic eigenvalue problems with partially prescribed eigenstructure

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

Source: NC State University Libraries

Added: August 6, 2018

2003 journal article

On robust matrix completion with prescribed eigenvalues

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

Source: NC State University Libraries

Added: August 6, 2018

2003 journal article

Real-valued, low rank, circulant approximation

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

Source: NC State University Libraries

Added: August 6, 2018

2003 journal article

Structured low rank approximation

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

Source: NC State University Libraries

Added: August 6, 2018

2002 journal article

The centroid decomposition: Relationships between discrete variational decompositions and SVDs

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

Source: NC State University Libraries

Added: August 6, 2018

2001 journal article

The orthogonally constrained regression revisited

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

Source: NC State University Libraries

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.

Source: NC State University Libraries

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.

Source: NC State University Libraries

Added: August 6, 2018

1999 journal article

On constructing matrices with prescribed singular values and diagonal elements

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

Source: NC State University Libraries

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.

Source: NC State University Libraries

Added: August 6, 2018

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 journal article

Inverse eigenvalue problems

*SIAM Review*, *40*(1), 1–39.

Source: NC State University Libraries

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.

Source: NC State University Libraries

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.

Source: NC State University Libraries

Added: August 6, 2018

1998 journal article

On the optimal consistent approximation to pairwise comparison matrices

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

Source: NC State University Libraries

Added: August 6, 2018

1998 journal article

Rank modifications of semidefinite matrices associated with asecant update formula

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

Source: NC State University Libraries

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.

Source: NC State University Libraries

Added: August 6, 2018