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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1998, Volume 5, Number 3/4, Pages 182–202 (Mi jmag436)  
This article is cited in 3 scientific papers (total in 3 papers)

The direct and inverse problem of spectral analysis for five-diagonal simmetric matrices. I

M. A. Kudryavtsev

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov
Full-text PDF (298 kB) Citations (3)
Abstract: The five-diagonal simmetric matrices of finite order are considered. The matrix-valued spectral measure associated with the eigenvector expansion is introduced. The necessary and sufficient conditions for a matrix-valued measure to be the spectral measure of such a matrix are obtained. The method of reconstruction of the five-diagonal matrices is obtained.
Received: 05.11.1997
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. A. Kudryavtsev, “The direct and inverse problem of spectral analysis for five-diagonal simmetric matrices. I”, Mat. Fiz. Anal. Geom., 5:3/4 (1998), 182–202
Citation in format AMSBIB
\Bibitem{Kud98}
\by M.~A.~Kudryavtsev
\paper The direct and inverse problem of spectral analysis for five-diagonal simmetric matrices.~I
\jour Mat. Fiz. Anal. Geom.
\yr 1998
\vol 5
\issue 3/4
\pages 182--202
\mathnet{http://mi.mathnet.ru/jmag436}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1668981}
\zmath{https://zbmath.org/?q=an:0962.47012}
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