Françoise Tisseur

SIAM J. Sci. Comput., August, 2022

Performance impact of precision reduction in sparse linear systems solvers.

[BibT_eX]

[DOI]

PeerJ Comput. Sci., 2022

2020

Min-Max Elementwise Backward Error for Roots of Polynomials and a Corresponding Backward Stable Root Finder.

[BibT_eX]

[DOI]

Marc Van Barel

CoRR, 2020

2019

Filtering Frequencies in a Shift-and-Invert Lanczos Algorithm for the Dynamic Analysis of Structures.

[BibT_eX]

[DOI]

Mante Zemaityte

Ramaseshan Kannan

SIAM J. Sci. Comput., 2019

Max-Balanced Hungarian Scalings.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2019

The Structured Condition Number of a Differentiable Map between Matrix Manifolds, with Applications.

[BibT_eX]

[DOI]

Bahar Arslan

Vanni Noferini

SIAM J. Matrix Anal. Appl., 2019

2018

Compact Two-Sided Krylov Methods for Nonlinear Eigenvalue Problems.

[BibT_eX]

[DOI]

Pieter Lietaert

Karl Meerbergen

SIAM J. Sci. Comput., 2018

A Max-Plus Approach to Incomplete Cholesky Factorization Preconditioners.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2018

Reduction of Matrix Polynomials to Simpler Forms.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2018

2017

Incomplete LU Preconditioner Based on Max-Plus Approximation of LU Factorization.

[BibT_eX]

[DOI]

James L. Hook

SIAM J. Matrix Anal. Appl., 2017

Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems.

[BibT_eX]

[DOI]

JSIAM Lett., 2017

The nonlinear eigenvalue problem.

[BibT_eX]

[DOI]

Stefan Güttel

Acta Numer., 2017

2016

Efficient Block Preconditioning for a C<sup>1</sup> Finite Element Discretization of the Dirichlet Biharmonic Problem.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2016

2015

Algorithms for Hessenberg-Triangular Reduction of Fiedler Linearization of Matrix Polynomials.

[BibT_eX]

[DOI]

Lars Karlsson

SIAM J. Sci. Comput., 2015

Tropical Roots as Approximations to Eigenvalues of Matrix Polynomials.

[BibT_eX]

[DOI]

Vanni Noferini

Meisam Sharify

SIAM J. Matrix Anal. Appl., 2015

2013

An algorithm for the complete solution of quadratic eigenvalue problems.

[BibT_eX]

[DOI]

Sven Hammarling

Christopher J. Munro

ACM Trans. Math. Softw., 2013

NLEVP: A Collection of Nonlinear Eigenvalue Problems.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2013

Triangularizing Quadratic Matrix Polynomials.

[BibT_eX]

[DOI]

Ion Zaballa

SIAM J. Matrix Anal. Appl., 2013

2010

The Canonical Generalized Polar Decomposition.

[BibT_eX]

[DOI]

Christian Mehl

SIAM J. Matrix Anal. Appl., 2010

2009

Definite Matrix Polynomials and their Linearization by Definite Pencils.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2009

An Improved Arc Algorithm for Detecting Definite Hermitian Pairs.

[BibT_eX]

[DOI]

Chun-Hua Guo

SIAM J. Matrix Anal. Appl., 2009

2008

Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems.

[BibT_eX]

[DOI]

Chun-Hua Guo

SIAM J. Matrix Anal. Appl., 2008

2007

Structured Mapping Problems for Matrices Associated with Scalar Products. Part I: Lie and Jordan Algebras.

[BibT_eX]

[DOI]

Niloufer Mackey

SIAM J. Matrix Anal. Appl., 2007

Backward Error of Polynomial Eigenproblems Solved by Linearization.

[BibT_eX]

[DOI]

Ren-Cang Li

SIAM J. Matrix Anal. Appl., 2007

2006

Structured Eigenvalue Condition Numbers.

[BibT_eX]

[DOI]

Michael Karow

Daniel Kressner

SIAM J. Matrix Anal. Appl., 2006

The Conditioning of Linearizations of Matrix Polynomials.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2006

Symmetric Linearizations for Matrix Polynomials.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2006

2005

Structured Factorizations in Scalar Product Spaces.

[BibT_eX]

[DOI]

Niloufer Mackey

SIAM J. Matrix Anal. Appl., 2005

Functions Preserving Matrix Groups and Iterations for the Matrix Square Root.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2005

The Ehrlich-Aberth Method for the Nonsymmetric Tridiagonal Eigenvalue Problem.

[BibT_eX]

[DOI]

Dario Andrea Bini

Luca Gemignani

SIAM J. Matrix Anal. Appl., 2005

2004

Tridiagonal-Diagonal Reduction of Symmetric Indefinite Pairs.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2004

Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2004

2003

A Chart of Backward Errors for Singly and Doubly Structured Eigenvalue Problems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2003

Implicit Gamma Theorems (I): Pseudoroots and Pseudospectra.

[BibT_eX]

[DOI]

Found. Comput. Math., 2003

2001

The Quadratic Eigenvalue Problem.

[BibT_eX]

[DOI]

Karl Meerbergen

SIAM Rev., 2001

Structured Pseudospectra for Polynomial Eigenvalue Problems, with Applications.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2001

Newton's Method in Floating Point Arithmetic and Iterative Refinement of Generalized Eigenvalue Problems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2001

Stability of Structured Hamiltonian Eigensolvers.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2001

Analysis of the Cholesky Method with Iterative Refinement for Solving the Symmetric Definite Generalized Eigenproblem.

[BibT_eX]

[DOI]

Philip I. Davies

SIAM J. Matrix Anal. Appl., 2001

2000

A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2000

1999

A Parallel Divide and Conquer Algorithm for the Symmetric Eigenvalue Problem on Distributed Memory Architectures.

[BibT_eX]

[DOI]

Jack J. Dongarra

SIAM J. Sci. Comput., 1999

1997

Parallel Implementation of the Yau and Lu Method for Eigenvalue Computation.

[BibT_eX]

[DOI]

Int. J. High Perform. Comput. Appl., 1997

1996

Parallel Implementation of a Symmetric Eigensolver Based on the Yau and Lu Method.

[BibT_eX]

[DOI]

Stéphane Domas