On Deflations in Extended QR Algorithms

DOI10.1137/130935665zbMath1301.65025OpenAlexW1985540142MaRDI QIDQ2923359

Thomas Mach, Raf Vandebril

Publication date: 15 October 2014

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

Full work available at URL: http://nur.nu.edu.kz/handle/123456789/2232

zbMATH Keywords

rotationseigenvaluedeflationperturbation boundsnumerical resultextended Hessenberg matricesaggressive early deflationsextended QR algorithmsmiddle deflations

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

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An implicit filter for rational Krylov using core transformations ⋮ An extended Hamiltonian QR algorithm ⋮ Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials ⋮ Fast QR iterations for unitary plus low rank matrices ⋮ Fast and Backward Stable Computation of Roots of Polynomials

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