Convergence of the Francis shifted QR algorithm on normal matrices

DOI10.1016/0024-3795(94)90010-8zbMath0808.65030OpenAlexW2081199895MaRDI QIDQ1334917

Steve Batterson

Publication date: 26 September 1994

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90010-8

zbMATH Keywords

convergencedecouplingnormal matricesSchur formHessenberg matricesFrancis shifted QR algorithm

Mathematics Subject Classification ID

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

Cites Work

• A note on the double-shift \(QL\) algorithm
• Convergence of the shifted \(QR\) algorithm on \(3\times{} 3\) normal matrices
• The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
• Matrix Analysis
• Linear Convergence in the Shifted QR Algorithm
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