Twisted Factorizations and qd-Type Transformations for the $\mbox{MR}^{3}$ Algorithm---New Representations and Analysis

DOI10.1137/110834044zbMath1267.65044OpenAlexW1984456322WikidataQ114074351 ScholiaQ114074351MaRDI QIDQ2910968

Bruno Lang, Paul R. Willems

Publication date: 12 September 2012

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110834044

zbMATH Keywords

eigenvectorserror boundssymmetric tridiagonal matricesbidiagonal factorizationspartial eigenvaluesmultiple relatively robust representations algorithmtwisted factorizations

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Factorization of matrices (15A23) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Roundoff error (65G50)

Related Items (2)

On Computing Eigenvectors of Symmetric Tridiagonal Matrices ⋮ A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problem

This page was built for publication: Twisted Factorizations and qd-Type Transformations for the $\mbox{MR}^{3}$ Algorithm---New Representations and Analysis