Rutishauser’s LR algorithm and Bruhat iteration

DOI10.1080/03081087.2014.940345zbMath1404.22036OpenAlexW2006329908MaRDI QIDQ3455666

Tin-Yau Tam, Mary Clair Thompson

Publication date: 11 December 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2014.940345

zbMATH Keywords

LR algorithmsemisimple Lie groupBruhat decompositioncomplete multiplicative Jordan decompositionBruhat iteration

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Semisimple Lie groups and their representations (22E46) General properties and structure of real Lie groups (22E15)

Cites Work

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• Asymptotic behavior of Iwasawa and Cholesky iterations
• Francis’s Algorithm
• From qd to LR, or, how were the qd and LR algorithms discovered?
• The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
• On the Gelfand–Naimark decomposition of a nonsingular matrix
• The QR algorithm: 50 years later its genesis by John Francis and Vera Kublanovskaya and subsequent developments
• A Geometric Theory for the $QR$, $LU$ and Power Iterations