Stability of Structured Hamiltonian Eigensolvers

DOI10.1137/S0895479800368007zbMath0996.65041OpenAlexW1974775305MaRDI QIDQ2719204

Françoise Tisseur

Publication date: 21 June 2001

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479800368007

zbMATH Keywords

symmetric matrixskew-symmetric matrixHamiltonian matrixsymplectic matrixbackward errorrounding errorstructure-preservingJacobi algorithmskew-Hamiltonian matrixquaternion rotationstructured Hamiltonian eigensolverssymplectic quasi-QR factorization

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Roundoff error (65G50)

Related Items (10)

A new real structure-preserving quaternion QR algorithm ⋮ An extended Hamiltonian QR algorithm ⋮ On the pseudo-spectra and the related properties of infinite-dimensional Hamiltonian operators ⋮ Backward Error Analysis for Eigenproblems Involving Conjugate Symplectic Matrices ⋮ A novel symmetric skew-Hamiltonian isotropic Lanczos algorithm for spectral conformal parameterizations ⋮ On a class of alternating coefficient matrices quadratic eigenvalue problem ⋮ Hamilton and Jacobi come full circle: Jacobi algorithms for structured Hamiltonian eigenproblems ⋮ Structured backward error for palindromic polynomial eigenvalue problems ⋮ A note on the backward errors for Hermite eigenvalue problems ⋮ Structured eigenvalue methods for the computation of corner singularities in 3D anisotropic elastic structures

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