On a Discrete Inverse Problem for Two Spectra | Zendy

Gusein Sh. Guseinov | Zendy

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On a Discrete Inverse Problem for Two Spectra

Author(s) -

Gusein Sh. Guseinov

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/956407

Subject(s) - tridiagonal matrix , jacobi operator , eigenvalues and eigenvectors , mathematics , inverse , matrix (chemical analysis) , jacobi method , jacobi eigenvalue algorithm , inverse problem , band matrix , spectral line , pure mathematics , symmetric matrix , square matrix , mathematical analysis , jacobi polynomials , geometry , physics , orthogonal polynomials , chemistry , chromatography , quantum mechanics , astronomy

A version of the inverse spectral problem for two spectra of finite-order real Jacobi matrices (tridiagonal symmetric matrices) is investigated. The problem is to reconstruct the matrix using two sets of eigenvalues: one for the original Jacobi matrix and one for the matrix obtained by deleting the last row and last column of the Jacobi matrix

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