On condition numbers in the cyclic reduction processes of a tridiagonal matrix-Reference-Cited by-同舟云学术

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On condition numbers in the cyclic reduction processes of a tridiagonal matrix

Published:2010-08-16 Issue:13 Volume:87 Page:3079-3093
ISSN:0020-7160
Container-title:International Journal of Computer Mathematics
language:en
Short-container-title:International Journal of Computer Mathematics

Author:

Wang Tan¹,Iwasaki Masashi²,Nakamura Yoshimasa¹

Affiliation:

1. SORST, JST and Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University , Sakyo-ku, Kyoto, 606-8501, Japan

2. Faculty of Life and Environmental Sciences, Kyoto Prefectural University , Sakyo-ku, Kyoto, 606-8522, Japan

Publisher

Informa UK Limited

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications

Link

https://www.tandfonline.com/doi/pdf/10.1080/00207160902971541

Reference5 articles.

1. Cyclic and stride reduction methods for generalised tridiagonal matrices

2. A Fast Direct Solution of Poisson's Equation Using Fourier Analysis

3. Nakamura, Y. , 2006. Functionality of Integrable Systems . Tokyo: Kyoritsu Shuppan; 2006. p. 140, (in Japanese).

4. Wilkinson, J. H. , 1965. "The Algebraic Eigenvalue Problem". Oxford: Clarendon Press; 1965. pp. 299–302.

5. Yamamoto, T. , 1976. "An Introduction to Numerical Analysis". Tokyo: Science-sya; 1976. p. 58, (in Japanese).

Cited by 2 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. Roots of Characteristic Polynomial Sequences in Iterative Block Cyclic Reductions;Mathematics;2021-12-12

2. Eigenvalue clustering of coefficient matrices in the iterative stride reductions for linear systems;Computers & Mathematics with Applications;2016-01

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