A rational SHIRA method for the Hamiltonian eigenvalue problem

DOI10.11650/TWJM/1500405868zbMath1207.65037OpenAlexW1828197969MaRDI QIDQ987868

Peter Benner, Cedric Effenberger

Publication date: 2 September 2010

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500405868

zbMATH Keywords

numerical examplesparse matricesArnoldi algorithmHamiltonian matrixmatrix pencilsgeneralized eigenvalue problemsskew-Hamiltonian matrix

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Hermitian, skew-Hermitian, and related matrices (15B57) Matrix pencils (15A22)

Related Items (4)

\(\mathcal{L}_{\infty}\)-norm computation for large-scale descriptor systems using structured iterative eigensolvers ⋮ On skew-Hamiltonian matrices and their Krylov-Lagrangian subspaces ⋮ Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations ⋮ A Rational Even-IRA Algorithm for the Solution of $T$-Even Polynomial Eigenvalue Problems

Uses Software

• eigs

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