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Zapiski Nauchnykh Seminarov LOMI, 1984, Volume 139, Pages 41–50 (Mi znsl1735)  

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.
English version:
Journal of Soviet Mathematics, 1987, Volume 36, Issue 2, Pages 199–206
DOI: https://doi.org/10.1007/BF01091800
Bibliographic databases:
UDC: 518.512.86
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Vas84}
\by T.~V.~Vashchenko
\paper Solution of an eigenvalue problem for pencils of band matrices
\inbook Computational methods and algorithms. Part~VII
\serial Zap. Nauchn. Sem. LOMI
\yr 1984
\vol 139
\pages 41--50
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1735}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=756644}
\zmath{https://zbmath.org/?q=an:0611.65024|0551.65019}
\transl
\jour J. Soviet Math.
\yr 1987
\vol 36
\issue 2
\pages 199--206
\crossref{https://doi.org/10.1007/BF01091800}
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