Convergence of the shifted \(QR\) algorithm on \(3\times{} 3\) normal matrices

DOI10.1007/BF01385629zbMath0739.65030MaRDI QIDQ1814597

Steve Batterson

Publication date: 25 June 1992

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133505

zbMATH Keywords

convergenceexact arithmeticEISPACK routine \(HQR2\)normal Hessenberg matricesshifted \(QR\) algorithm

Mathematics Subject Classification ID

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

Related Items

Convergence of the Francis shifted QR algorithm on normal matrices, On swapping diagonal blocks in real Schur form, Hyman's method revisited

Uses Software

• EISPACK

Cites Work

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• Convergence of algorithms of decomposition type for the eigenvalue problem
• The QR algorithm for real Hessenberg matrices
• Eigenvectors of real and complex matrices by LR and QR triangularizations
• The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
• Rayleigh Quotient Iteration for Nonsymmetric Matrices
• Global Convergence of the Basic QR Algorithm On Hessenberg Matrices