Blocked algorithms for the reduction to Hessenberg-triangular form revisited-Reference-Cited by-同舟云学术

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Blocked algorithms for the reduction to Hessenberg-triangular form revisited

Published:2008-07-15 Issue:3 Volume:48 Page:563-584
ISSN:0006-3835
Container-title:BIT Numerical Mathematics
language:en
Short-container-title:Bit Numer Math

Author:

Kågström B.,Kressner D.,Quintana-Ortí E.S.,Quintana-Ortí G.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Link

http://link.springer.com/content/pdf/10.1007/s10543-008-0180-1.pdf

Reference22 articles.

1. E. Anderson, Z. Bai, C. H. Bischof, S. Blackford, J. W. Demmel, J. J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, and D. C. Sorensen, LAPACK Users’ Guide, 3rd edn., SIAM, Philadelphia, PA, 1999.

2. C. H. Bischof, B. Lang, and X. Sun, A framework for symmetric band reduction, ACM Trans. Math. Softw., 26 (2000), pp. 581–601.

3. C. H. Bischof and C. F. Van Loan, The WY representation for products of Householder matrices, SIAM J. Sci. Stat. Comput., 8 (1987), pp. S2–S13.

4. K. Braman, R. Byers, and R. Mathias, The multishift QR algorithm. I. Maintaining well-focused shifts and level 3 performance, SIAM J. Matrix Anal. Appl., 23 (2002), pp. 929–947.

5. M. Cosnard, J.-M. Muller, and Y. Robert, Parallel QR decomposition of a rectangular matrix, Numer. Math., 48 (1986), pp. 239–249.

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1. Parallel Two-Stage Reduction to Hessenberg-Triangular Form;SIAM Journal on Scientific Computing;2024-03-28

2. A novel, blocked algorithm for the reduction to Hessenberg-triangular form;The Electronic Journal of Linear Algebra;2022-10-28

3. Parallel reduction of four matrices to condensed form for a generalized matrix eigenvalue algorithm;Numerical Algorithms;2020-03-02

4. Simultaneous band reduction of two symmetric matrices;Computers & Mathematics with Applications;2019-04

5. A Householder-Based Algorithm for Hessenberg-Triangular Reduction;SIAM Journal on Matrix Analysis and Applications;2018-01

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