Ren-Cang Li

Wen-Wei Lin

IEEE Trans. Neural Networks Learn. Syst., August, 2023

Trace ratio optimization with an application to multi-view learning.

[BibT_eX]

[DOI]

Math. Program., 2023

On Novel Fixed-Point-Type Iterations with Structure-Preserving Doubling Algorithms for Stochastic Continuous-time Algebraic Riccati equations.

[BibT_eX]

[DOI]

CoRR, 2023

Variations of Orthonormal Basis Matrices of Subspaces.

[BibT_eX]

[DOI]

Zhongming Teng

CoRR, 2023

On Generalizing Trace Minimization Principles, II.

[BibT_eX]

[DOI]

Xin Liang

CoRR, 2023

2022

A Scalable Algorithm for Large-Scale Unsupervised Multi-View Partial Least Squares.

[BibT_eX]

[DOI]

IEEE Trans. Big Data, 2022

Sharp Estimation of Convergence Rate for Self-Consistent Field Iteration to Solve Eigenvector-Dependent Nonlinear Eigenvalue Problems.

[BibT_eX]

[DOI]

Ding Lu

SIAM J. Matrix Anal. Appl., 2022

A Self-Consistent-Field Iteration for Orthogonal Canonical Correlation Analysis.

[BibT_eX]

[DOI]

IEEE Trans. Pattern Anal. Mach. Intell., 2022

Maximizing sum of coupled traces with applications.

[BibT_eX]

[DOI]

Numerische Mathematik, 2022

Orthogonal multi-view analysis by successive approximations via eigenvectors.

[BibT_eX]

[DOI]

Neurocomputing, 2022

Convergence of SCF for Locally Unitarily Invariantizable NEPv.

[BibT_eX]

[DOI]

Ding Lu

CoRR, 2022

A self-consistent-field iteration for MAXBET with an application to multi-view feature extraction.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2022

2021

Probabilistic Structure Learning for EEG/MEG Source Imaging With Hierarchical Graph Priors.

[BibT_eX]

[DOI]

IEEE Trans. Medical Imaging, 2021

On an eigenvector-dependent nonlinear eigenvalue problem from the perspective of relative perturbation theory.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2021

Accurate numerical solution for structured M-matrix algebraic Riccati equations.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2021

On Generalizing Trace Minimization.

[BibT_eX]

[DOI]

CoRR, 2021

2020

Learning Low-Dimensional Latent Graph Structures: A Density Estimation Approach.

[BibT_eX]

[DOI]

IEEE Trans. Neural Networks Learn. Syst., 2020

First-Order Perturbation Theory for Eigenvalues and Eigenvectors.

[BibT_eX]

[DOI]

Anne Greenbaum

Michael L. Overton

SIAM Rev., 2020

Orthogonal canonical correlation analysis and applications.

[BibT_eX]

[DOI]

Optim. Methods Softw., 2020

Accurate Numerical Solution for Shifted M-Matrix Algebraic Riccati Equations.

[BibT_eX]

[DOI]

Changli Liu

J. Sci. Comput., 2020

Uncorrelated Semi-paired Subspace Learning.

[BibT_eX]

[DOI]

CoRR, 2020

Optimal Convergence Rate of Self-Consistent Field Iteration for Solving Eigenvector-dependent Nonlinear Eigenvalue Problems.

[BibT_eX]

[DOI]

Ding Lu

CoRR, 2020

Multi-view Orthonormalized Partial Least Squares: Regularizations and Deep Extensions.

[BibT_eX]

[DOI]

Wen-Wei Lin

CoRR, 2020

Perturbation theory for Hermitian quadratic eigenvalue problem - damped and simultaneously diagonalizable systems.

[BibT_eX]

[DOI]

Zoran Tomljanovic

Appl. Math. Comput., 2020

2019

An Efficient Numerical Method for the Symmetric Positive Definite Second-Order Cone Linear Complementarity Problem.

[BibT_eX]

[DOI]

J. Sci. Comput., 2019

Linear Constrained Rayleigh Quotient Optimization: Theory and Algorithms.

[BibT_eX]

[DOI]

Yunshen Zhou

CoRR, 2019

Probabilistic Structure Learning for EEG/MEG Source Imaging with Hierarchical Graph Prior.

[BibT_eX]

[DOI]

CoRR, 2019

2018

On an Eigenvector-Dependent Nonlinear Eigenvalue Problem.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2018

Sparse Sampling and Fully-3D Fast Total Variation Based Imaging Reconstruction for Chemical Shift Imaging in Magnetic Resonance Spectroscopy.

[BibT_eX]

[DOI]

Proceedings of the Brain Informatics - International Conference, 2018

2017

On the Generalized Lanczos Trust-Region Method.

[BibT_eX]

[DOI]

Chungen Shen

SIAM J. Optim., 2017

Highly accurate doubling algorithms for M-matrix algebraic Riccati equations.

[BibT_eX]

[DOI]

Numerische Mathematik, 2017

2016

A Nonlinear QR Algorithm for Banded Nonlinear Eigenvalue Problems.

[BibT_eX]

[DOI]

C. Kristopher Garrett

ACM Trans. Math. Softw., 2016

A Fast Algorithm For Fast Train Palindromic Quadratic Eigenvalue Problems.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2016

A new two-phase structure-preserving doubling algorithm for critically singular M-matrix algebraic Riccati equations.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2016

Self-Corrective Iterations (SCI) for generalized diagonally dominant matrices.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2016

A block Chebyshev-Davidson method for linear response eigenvalue problems.

[BibT_eX]

[DOI]

Zhongming Teng

Yunkai Zhou

Adv. Comput. Math., 2016

2015

A Krylov Subspace Method for Large-Scale Second-Order Cone Linear Complementarity Problem.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2015

Convergence of the block Lanczos method for eigenvalue clusters.

[BibT_eX]

[DOI]

Numerische Mathematik, 2015

A new look at the doubling algorithm for a structured palindromic quadratic eigenvalue problem.

[BibT_eX]

[DOI]

Linzhang Lu

Fei Yuan

Numer. Linear Algebra Appl., 2015

Active Manifold Learning via Gershgorin Circle Guided Sample Selection.

[BibT_eX]

[DOI]

Proceedings of the Twenty-Ninth AAAI Conference on Artificial Intelligence, 2015

2014

Rayleigh-Ritz Approximation For the Linear Response Eigenvalue Problem.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2014

GIP integrators for Matrix Riccati Differential Equations.

[BibT_eX]

[DOI]

C. Kristopher Garrett

Appl. Math. Comput., 2014

2013

Erratum: Perturbation of Partitioned Hermitian Definite Generalized Eigenvalue Problems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2013

Minimization Principles for the Linear Response Eigenvalue Problem II: Computation.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2013

Convergence analysis of Lanczos-type methods for the linear response eigenvalue problem.

[BibT_eX]

[DOI]

Zhongming Teng

J. Comput. Appl. Math., 2013

2012

Alternating-directional Doubling Algorithm for M-Matrix Algebraic Riccati Equations.

[BibT_eX]

[DOI]

Wei-guo Wang

Wei-chao Wang

SIAM J. Matrix Anal. Appl., 2012

Minimization Principles for the Linear Response Eigenvalue Problem I: Theory.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2012

Accurate solutions of M-matrix algebraic Riccati equations.

[BibT_eX]

[DOI]

Shufang Xu

Numerische Mathematik, 2012

Accurate solutions of M-matrix Sylvester equations.

[BibT_eX]

[DOI]

Shufang Xu

Numerische Mathematik, 2012

A family of Anadromic numerical methods for matrix Riccati differential equations.

[BibT_eX]

[DOI]

William Kahan

Math. Comput., 2012

2011

Perturbation of Partitioned Hermitian Definite Generalized Eigenvalue Problems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2011

2010

Analysis of the solution of the Sylvester equation using low-rank ADI with exact shifts.

[BibT_eX]

[DOI]

Zoran Tomljanovic

Syst. Control. Lett., 2010

Structured backward error for palindromic polynomial eigenvalue problems.

[BibT_eX]

[DOI]

Wen-Wei Lin

Chern-Shuh Wang

Numerische Mathematik, 2010

Sharpness in rates of convergence for the symmetric Lanczos method.

[BibT_eX]

[DOI]

Math. Comput., 2010

2009

Formally Verified Argument Reduction with a Fused Multiply-Add.

[BibT_eX]

[DOI]

Sylvie Boldo

Marc Daumas

IEEE Trans. Computers, 2009

The rate of convergence of GMRES on a tridiagonal Toeplitz linear system.

[BibT_eX]

[DOI]

Wei Zhang

Numerische Mathematik, 2009

On the ADI method for Sylvester equations.

[BibT_eX]

[DOI]

Peter Benner

J. Comput. Appl. Math., 2009

2008

On Meinardus' examples for the conjugate gradient method.

[BibT_eX]

[DOI]

Math. Comput., 2008

2007

Backward Error of Polynomial Eigenproblems Solved by Linearization.

[BibT_eX]

[DOI]

Nicholas J. Higham

Françoise Tisseur

SIAM J. Matrix Anal. Appl., 2007

2006

Asymptotically Optimal Lower Bounds for the Condition Number of a Real Vandermonde Matrix.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2006

Lower bounds for the condition number of a real confluent Vandermonde matrix.

[BibT_eX]

[DOI]

Math. Comput., 2006

2005

Relative Perturbation Bounds for Positive Polar Factors of Graded Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2005

2004

The abc conjecture and correctly rounded reciprocal square roots.

[BibT_eX]

[DOI]

Ernie Croot

Hui June Zhu

Theor. Comput. Sci., 2004

Near Optimality of Chebyshev Interpolation for Elementary Function Computations.

[BibT_eX]

[DOI]

IEEE Trans. Computers, 2004

Structure-Preserving Model Reduction.

[BibT_eX]

[DOI]

Proceedings of the Applied Parallel Computing, 2004

Substructuring, Dimension Reduction and Applications: An Introduction.

[BibT_eX]

[DOI]

Proceedings of the Applied Parallel Computing, 2004

2003

A Krylov Subspace Method for Quadratic Matrix Polynomials with Application to Constrained Least Squares Problems.

[BibT_eX]

[DOI]

Qiang Ye

SIAM J. Matrix Anal. Appl., 2003

On perturbations of matrix pencils with real spectra, a revisit.

[BibT_eX]

[DOI]

Math. Comput., 2003

Theorems on Efficient Argument Reductions.

[BibT_eX]

[DOI]

Sylvie Boldo

Marc Daumas

Proceedings of the 16th IEEE Symposium on Computer Arithmetic (Arith-16 2003), 2003

2000

A Bound on the Solution to a Structured Sylvester Equation with an Application to Relative Perturbation Theory.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2000

1998

Relative Perturbation Theory: I. Eigenvalue and Singular Value Variations.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., October, 1998

Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 1998

1997

Composition constants for raising the orders of unconventional schemes for ordinary differential equations.

[BibT_eX]

[DOI]

William Kahan

Math. Comput., 1997

1996

On perturbations of matrix pencils with real spectra. II.

[BibT_eX]

[DOI]

Rajendra Bhatia

Math. Comput., 1996

1995

New Perturbation Bounds for the Unitary Polar Factor.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 1995

1993

Bounds on Perturbations of Generalized Singular Values and of Associated Subspaces.

[BibT_eX]

[DOI]