Structured condition numbers for linear systems with parameterized quasiseparable coefficient matrices-Reference-Cited by-同舟云学术

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Structured condition numbers for linear systems with parameterized quasiseparable coefficient matrices

Published:2016-04-14 Issue:4 Volume:73 Page:1131-1158
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Dopico Froilán M.,Pomés Kenet

Funder

Ministerio de Economía y Competitividad (ES)

Ministerio de Economía y Competitividad

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11075-016-0133-8.pdf

Reference19 articles.

1. Aurentz, J.L., Mach, T., Vandebril, R., Watkins, D.S.: Fast and backward stable computation of roots of polynomials. SIAM J. Matrix Anal. Appl 36(3), 942–973 (2015)

2. Bella, T., Olshevsky, V., Stewart, M.: Nested product decomposition of quasiseparable matrices. SIAM J. Matrix Anal. Appl 34(4), 1520–1555 (2013)

3. Börm, S., Grasedyck, L., Hackbusch, W.: Introduction to hierarchical matrices with applications. Eng. Anal. Bound. Elemen 27, 405–422 (2003)

4. Dopico, F.M., Olshevsky, V., Zhlobich, P.: Stability of QR-based fast system solvers for a subclass of quasiseparable rank one matrices. Math. Comp. 82, 2007–2034 (2013)

5. Dopico, F.M., Pomés, K.: Structured eigenvalue condition numbers for parameterized quasiseparable matrices, published electronically in Numer. Math. doi: 10.1007/s00211-015-0779-5 (2015)

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1. Computation of quasiseparable representations of Green matrices;Linear Algebra and its Applications;2024-05

2. Computing eigenvalues of quasi-generalized Vandermonde matrices to high relative accuracy;Journal of Computational and Applied Mathematics;2022-05

3. Structured condition number for multiple right-hand side linear systems with parameterized quasiseparable coefficient matrix;Journal of Computational and Applied Mathematics;2020-04

4. Structured generalized eigenvalue condition numbers for parameterized quasiseparable matrices;BIT Numerical Mathematics;2019-04-06

5. Accurate solutions of product linear systems associated with rank-structured matrices;Journal of Computational and Applied Mathematics;2019-02

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