An extension of the \(QZ\) algorithm beyond the Hessenberg-upper triangular pencil

zbMath1288.65053MaRDI QIDQ2450036

Raf Vandebril, David S. Watkins

Publication date: 14 May 2014

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/volumes/2011-2020/vol40/abstract_vol40_pp17-35.html

zbMATH Keywords

generalized eigenvaluesHessenberg matrixcondensed matrices\(QR\) algorithmextended Krylov\(QZ\) algorithm

Mathematics Subject Classification ID

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

Related Items (7)

An implicit filter for rational Krylov using core transformations ⋮ Fast and Backward Stable Computation of Roots of Polynomials, Part II: Backward Error Analysis; Companion Matrix and Companion Pencil ⋮ On pole-swapping algorithms for the eigenvalue problem ⋮ Compression of unitary rank-structured matrices to CMV-like shape with an application to polynomial rootfinding ⋮ Pole-swapping algorithms for alternating and palindromic eigenvalue problems ⋮ Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials ⋮ A Rational QZ Method

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