On a special basis of approximate eigenvectors with local supports for an isolated narrow cluster of eigenvalues of a symmetric tridiagonal matrix-Reference-Cited by-同舟云学术

On a special basis of approximate eigenvectors with local supports for an isolated narrow cluster of eigenvalues of a symmetric tridiagonal matrix

Published:2008-07 Issue:7 Volume:48 Page:1089-1099
ISSN:0965-5425
Container-title:Computational Mathematics and Mathematical Physics
language:en
Short-container-title:Comput. Math. and Math. Phys.

Author:

Godunov S. K.,Malyshev A. N.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S0965542508070026.pdf

Reference15 articles.

1. J. H. Wilkinson, The Algebraic Eigenvalue Problem (Clarendon, Oxford, 1965; Nauka, Moscow, 1970).

2. S. K. Godunov, V. I. Kostin, and A. D. Mitchenko, “Computation of Eigenvectors of a Symmetric Tridiagonal Matrix,” Sib. Mat. Zh. 26(5), 71–85 (1985).

3. S. K. Godunov, “The Problem of Guaranteed Accuracy in Numerical Methods of Linear Algebra,” Proceedings of International Congress of Mathematicians (Berkeley, California, 1986), Vol. II, pp. 1353–1361.

4. S. K. Godunov, A. G. Antonov, O. P. Kirillyuk, and V. I. Kostin, Guaranteed Accuracy of Solutions to Systems of Linear Equations in Euclidean Spaces (Nauka, Novosibirsk, 1988) [in Russian].

5. S. K. Godunov, Lectures on Modern Aspects of Linear Algebra (Nauchnaya Kniga, Novosibirsk, 2002) [in Russian].

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