4.6 Article

On the Backward Error Incurred by the Compact Rational Krylov Linearization

Related references

Note: Only part of the references are listed.
Article Mathematics

The nonlinear eigenvalue problem

Stefan Guttel et al.

ACTA NUMERICA (2017)

Article Mathematics, Applied

BACKWARD ERROR ANALYSIS OF POLYNOMIAL EIGENVALUE PROBLEMS SOLVED BY LINEARIZATION

Piers W. Lawrence et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2016)

Article Mathematics, Applied

BACKWARD ERROR OF POLYNOMIAL EIGENVALUE PROBLEMS SOLVED BY LINEARIZATION OF LAGRANGE INTERPOLANTS

Piers W. Lawrence et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2015)

Article Mathematics, Applied

COMPACT RATIONAL KRYLOV METHODS FOR NONLINEAR EIGENVALUE PROBLEMS

Roel Van Beeumen et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2015)

Article Mathematics, Applied

ALGORITHMS FOR HESSENBERG-TRIANGULAR REDUCTION OF FIEDLER LINEARIZATION OF MATRIX POLYNOMIALS

Lars Karlsson et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2015)

Article Mathematics, Applied

NLEIGS: A CLASS OF FULLY RATIONAL KRYLOV METHODS FOR NONLINEAR EIGENVALUE PROBLEMS

Stefan Guettel et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2014)

Article Computer Science, Software Engineering

NLEVP: A Collection of Nonlinear Eigenvalue Problems

Timo Betcke et al.

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE (2013)

Article Computer Science, Software Engineering

Chebyshev interpolation for nonlinear eigenvalue problems

Cedric Effenberger et al.

BIT NUMERICAL MATHEMATICS (2012)

Article Mathematics, Applied

A framework for analyzing nonlinear eigenproblems and parametrized linear systems

Laurence Grammont et al.

LINEAR ALGEBRA AND ITS APPLICATIONS (2011)

Article Mathematics, Applied

Linearization of matrix polynomials expressed in polynomial bases

A. Amiraslani et al.

IMA JOURNAL OF NUMERICAL ANALYSIS (2009)

Article Mathematics, Applied

OPTIMAL SCALING OF GENERALIZED AND POLYNOMIAL EIGENVALUE PROBLEMS

T. Betcke

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2008)

Article Mathematics, Applied

Backward error of polynomial eigenproblems solved by linearization

Nicholas J. Higham et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2007)

Article Mathematics, Applied

Vector spaces of linearizations for matrix polynomials

D. Steven Mackey et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2006)

Article Mathematics, Applied

A note on companion matrices

M Fiedler

LINEAR ALGEBRA AND ITS APPLICATIONS (2003)

Article Mathematics, Applied

Structured pseudospectra for polynomial eigenvalue problems, with applications

F Tisseur et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2001)

Article Mathematics, Applied

Backward error and condition of polynomial eigenvalue problems

F Tisseur

LINEAR ALGEBRA AND ITS APPLICATIONS (2000)