A Cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem-Reference-Cited by-同舟云学术

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A Cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem

Published:2008-01 Issue:2-3 Volume:428 Page:586-599
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Plestenjak Bor,Van Barel Marc,Van Camp Ellen

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference16 articles.

1. LAPACK User’s Guide;Anderson,1999

2. D.A. Bini, L. Gemignani, V. Pan, QR-like algorithms for generalized semiseparable matrices, Tech. Report 1470, Department of Mathematics, University of Pisa, 2003.

3. A divide and conquer algorithm for the eigendecomposition of symmetric block-diagonal plus semi-separable matrices;Chandrasekaran;Numer. Math.,2004

4. Structures preserved by matrix inversion;Delvaux;J. Comput. Appl. Math.,2006

5. Rational Krylov matrices and QR-steps on Hermitian diagonal-plus-semiseparable matrices;Fasino;Numer. Linear Algebra Appl.,2005

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. The LR Cholesky algorithm for symmetric hierarchical matrices;Linear Algebra and its Applications;2013-08

2. Differential qd Algorithm with Shifts for Rank-Structured Matrices;SIAM Journal on Matrix Analysis and Applications;2012-01

3. qd-Type Methods for Quasiseparable Matrices;SIAM Journal on Matrix Analysis and Applications;2011-07

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