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2022 journal article

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

*COMPUTER PHYSICS COMMUNICATIONS*.

Source: Web Of Science

Added: March 7, 2022

2022 journal article

Low-rank approximation to entangled multipartite quantum systems

*QUANTUM INFORMATION PROCESSING*.

Source: Web Of Science

Added: April 18, 2022

2022 journal article

Rank-1 Approximation for Entangled Multipartite Real Systems

*JOURNAL OF SCIENTIFIC COMPUTING*.

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*.

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