Block factorizations and qd-type transformations for the \(\mathrm{MR}^3\) algorithm

zbMath1321.65058MaRDI QIDQ2447365

Paul R. Willems, Bruno Lang

Publication date: 25 April 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/vol.38.2011/pp363-400.dir/pp363-400.html

zbMATH Keywords

symmetric tridiagonal matrixqd algorithmeigensystemblock bidiagonal factorizationsmultiple relatively robust representations (MRRR) algorithmtheory and implementation

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Roundoff error (65G50)

Uses Software

• LAPACK

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