An Inverse Eigenvalue Problem for Jacobi Matrices | Zendy

Zhengsheng Wang | Zendy; Baojiang Zhong | Zendy

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An Inverse Eigenvalue Problem for Jacobi Matrices

Author(s) -

Zhengsheng Wang,

Baojiang Zhong

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/571781

Subject(s) - eigenvalues and eigenvectors , jacobi eigenvalue algorithm , mathematics , inverse , inverse iteration , inverse problem , jacobi method , matrix (chemical analysis) , divide and conquer eigenvalue algorithm , jacobi operator , mathematical analysis , jacobi polynomials , geometry , physics , orthogonal polynomials , materials science , quantum mechanics , composite material

A kind of inverse eigenvalue problem is proposed which is thereconstruction of a Jacobi matrix by given four or five eigenvalues and correspondingeigenvectors. The solvability of the problem is discussed, and some sufficient conditions for existence of the solution of this problem are proposed. Furthermore, a numerical algorithm and two examples are presented

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