A Framework for the $MR^3$ Algorithm: Theory and Implementation

DOI10.1137/110834020zbMath1266.65061OpenAlexW1967748620MaRDI QIDQ5300116

Bruno Lang, Paul R. Willems

Publication date: 26 June 2013

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110834020

zbMATH Keywords

symmetric tridiagonal matrixeigensystemMRRR algorithmtheory and implementation

Mathematics Subject Classification ID

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

Related Items (5)

The Singular Value Decomposition: Anatomy of Optimizing an Algorithm for Extreme Scale ⋮ Structure preserving parallel algorithms for solving the Bethe-Salpeter eigenvalue problem ⋮ On Computing Eigenvectors of Symmetric Tridiagonal Matrices ⋮ XMR ⋮ Computing the Bidiagonal SVD Through an Associated Tridiagonal Eigenproblem

Uses Software

• LAPACK
• ScaLAPACK
• Algorithm 880

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