This article is cited 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

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

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