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Zapiski Nauchnykh Seminarov LOMI, 1984, Volume 139, Pages 41–50
(Mi znsl1735)
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Solution of an eigenvalue problem for pencils of band matrices
T. V. Vashchenko
Abstract:
An iterative algorithm is proposed for solving the complete eigenvalue problem of a regular, linear pencil $A-\lambda B$ of matrices $A$ and $B$ of band structure which under certain conditions preserves the band structure of matrices of the pencil. It is modification of the algorithm $AB-1$ based on applying nonorthogonal transformations. A detailed description of the algorithm is presented in application to the pencils with tridiagonal and pentadiagonal matrices.
Citation:
T. V. Vashchenko, “Solution of an eigenvalue problem for pencils of band matrices”, Computational methods and algorithms. Part VII, Zap. Nauchn. Sem. LOMI, 139, "Nauka", Leningrad. Otdel., Leningrad, 1984, 41–50; J. Soviet Math., 36:2 (1987), 199–206
Linking options:
https://www.mathnet.ru/eng/znsl1735 https://www.mathnet.ru/eng/znsl/v139/p41
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Statistics & downloads: |
Abstract page: | 179 | Full-text PDF : | 62 |
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