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Low-Memory Krylov Subspace Methods for Optimal Rational Matrix Function Approximation

JOURNAL ARTICLE published 30 June 2023 in SIAM Journal on Matrix Analysis and Applications

Research funded by National Science Foundation (DGE-1762114,CCF-2045590,CCF-2046235)

Authors: Tyler Chen | Anne Greenbaum | Cameron Musco | Christopher Musco

https://doi.org/10.1137/22m1479853 Actions

Erratum

JOURNAL ARTICLE published October 2011 in SIAM Journal on Matrix Analysis and Applications

https://doi.org/10.1137/sjmael000032000004001559000001 Actions

A Fast Algorithm for Inversion of Confluent Vandermonde-Like Matrices Involving Polynomials that Satisfy a Three-Term Recurrence Relation

JOURNAL ARTICLE published July 1998 in SIAM Journal on Matrix Analysis and Applications

Authors: Xu Zhong | You Zhaoyong

https://doi.org/10.1137/s089547989630749x Actions

The Asymptotic Behavior of the Eigenvalues of a Singularly Perturbed Linear Pencil

JOURNAL ARTICLE published January 1998 in SIAM Journal on Matrix Analysis and Applications

Authors: Branko Najman

https://doi.org/10.1137/s0895479896299949 Actions

Accurate Symmetric Indefinite Linear Equation Solvers

JOURNAL ARTICLE published January 1998 in SIAM Journal on Matrix Analysis and Applications

Authors: Cleve Ashcraft | Roger G. Grimes | John G. Lewis

https://doi.org/10.1137/s0895479896296921 Actions

On the Stability of a Partitioning Algorithm for Tridiagonal Systems

JOURNAL ARTICLE published January 1998 in SIAM Journal on Matrix Analysis and Applications

Authors: Plamen Yalamov | Velisar Pavlov

https://doi.org/10.1137/s0895479896314418 Actions

Computation of Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors of Symmetric Matrix Pencils

JOURNAL ARTICLE published January 1998 in SIAM Journal on Matrix Analysis and Applications

Authors: Alan L. Andrew | Roger C. E. Tan

https://doi.org/10.1137/s0895479896304332 Actions

Structured Total Least Norm for Nonlinear Problems

JOURNAL ARTICLE published January 1998 in SIAM Journal on Matrix Analysis and Applications

Authors: J. B. Rosen | Haesun Park | John Glick

https://doi.org/10.1137/s0895479896301662 Actions

Newton's Method for Discrete Algebraic Riccati Equations when the Closed-Loop Matrix Has Eigenvalues on the Unit Circle

JOURNAL ARTICLE published January 1998 in SIAM Journal on Matrix Analysis and Applications

Authors: Chun-Hua Guo

https://doi.org/10.1137/s0895479897322999 Actions

Connections between Realizations of a Transfer Function

JOURNAL ARTICLE published January 2004 in SIAM Journal on Matrix Analysis and Applications

Authors: K. H. Förster | B. Nagy

https://doi.org/10.1137/s0895479802410013 Actions

On the cp-Rank and Minimal cp Factorizations of a Completely Positive Matrix

JOURNAL ARTICLE published January 2013 in SIAM Journal on Matrix Analysis and Applications

Authors: Naomi Shaked-Monderer | Immanuel M. Bomze | Florian Jarre | Werner Schachinger

https://doi.org/10.1137/120885759 Actions

Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function

JOURNAL ARTICLE published January 2003 in SIAM Journal on Matrix Analysis and Applications

Authors: Bin Han

https://doi.org/10.1137/s0895479801390868 Actions

The Analysis for the Total Least Squares Problem with More Than One Solution

JOURNAL ARTICLE published July 1992 in SIAM Journal on Matrix Analysis and Applications

Authors: Musheng Wei

https://doi.org/10.1137/0613047 Actions

Structured Backward Error and Condition of Generalized Eigenvalue Problems

JOURNAL ARTICLE published January 1998 in SIAM Journal on Matrix Analysis and Applications

Authors: Desmond J. Higham | Nicholas J. Higham

https://doi.org/10.1137/s0895479896313188 Actions

The Geometry of Algorithms with Orthogonality Constraints

JOURNAL ARTICLE published January 1998 in SIAM Journal on Matrix Analysis and Applications

Authors: Alan Edelman | Tomás A. Arias | Steven T. Smith

https://doi.org/10.1137/s0895479895290954 Actions

Computing the SVD of a General Matrix Product/Quotient

JOURNAL ARTICLE published January 2000 in SIAM Journal on Matrix Analysis and Applications

Authors: Gene Golub | Knut Solna | Paul Van Dooren

https://doi.org/10.1137/s0895479897325578 Actions

How to Make Simpler GMRES and GCR More Stable

JOURNAL ARTICLE published January 2009 in SIAM Journal on Matrix Analysis and Applications

Authors: Pavel Jiránek | Miroslav Rozložník | Martin H. Gutknecht

https://doi.org/10.1137/070707373 Actions

Critical Graphs for the Positive Definite Completion Problem

JOURNAL ARTICLE published January 1998 in SIAM Journal on Matrix Analysis and Applications

Authors: Wayne W. Barrett | Charles R. Johnson | Raphael Loewy

https://doi.org/10.1137/s0895479897324573 Actions

Using Generalized Cayley Transformations within an Inexact Rational Krylov Sequence Method

JOURNAL ARTICLE published January 1998 in SIAM Journal on Matrix Analysis and Applications

Authors: R. B. Lehoucq | Karl Meerbergen

https://doi.org/10.1137/s0895479896311220 Actions

Strongly Damped Quadratic Matrix Polynomials

JOURNAL ARTICLE published January 2015 in SIAM Journal on Matrix Analysis and Applications

Authors: Leo Taslaman

https://doi.org/10.1137/140959390 Actions
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