Rational QZ steps with perfect shifts

DOI10.1007/s11075-023-01600-2MaRDI QIDQ6200828

Paul Van Dooren, Nicola Mastronardi, Marc Van Barel, Raf Vandebril

Publication date: 20 February 2024

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

generalized eigenvaluesperfect shift\textit{RQZ} algorithm

Mathematics Subject Classification ID

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

Related Items (1)

Deflating invariant subspaces for rank structured pencils

Cites Work

• The transmission of shifts and shift blurring in the QR algorithm
• Swapping \(2 \times 2\) blocks in the Schur and generalized Schur form
• Computing an Eigenvector with Inverse Iteration
• The $QR$ Steps with Perfect Shifts
• On QZ steps with perfect shifts and computing the index of a differential-algebraic equation
• A Rational QZ Method
• The Matrix Eigenvalue Problem
• The Generalized Eigenvalue Problem for Nonsquare Pencils Using a Minimal Perturbation Approach

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