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A multiple shift QR-step for structured rank matrices

Published:2010-01 Issue:5 Volume:233 Page:1326-1344
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Vandebril Raf,Van Barel Marc,Mastronardi Nicola

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference31 articles.

1. Matrix Computations;Golub,1996

2. The Symmetric Eigenvalue Problem;Parlett,1998

3. An orthogonal similarity reduction of a matrix into semiseparable form;Van~barel;SIAM Journal on Matrix Analysis and Applications,2005

4. An implicit QR-algorithm for symmetric semiseparable matrices;Vandebril;Numerical Linear Algebra with Applications,2005

5. S. Delvaux, M. Van barel, The explicit QR-algorithm for rank structured matrices, Tech. Rep. TW459, Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven (Heverlee), Belgium, 2006

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the Description and Stability of Orthogonal Transformations of Rank Structured Matrices;SIAM Journal on Matrix Analysis and Applications;2016-01

2. Fast Reduction of Generalized Companion Matrix Pairs for Barycentric Lagrange Interpolants;SIAM Journal on Matrix Analysis and Applications;2013-01

3. A Wilkinson-like multishift QR algorithm for symmetric eigenvalue problems and its global convergence;Journal of Computational and Applied Mathematics;2012-09

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