2010Journal of Nanchang Hangkong UniversityRequires access

An Inverse Problem of Generalized Eigenvalue for Jacobi Matrix

Jinlin Wang

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Abstract

An inverse problem of generalized eigenvalue for Jacobi matrix is discussed on the base of some inverse problems of Jacobi matrix by giving parts of eigenvalues and corresponding eigenvectors.And the sufficient and necessary conditions for the existence of the solution of the problem are advanced.A algorithm is provided too.

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An inverse problem of generalized eigenvalue for Jacobi matrix is discussed on the base of some inverse problems of Jacobi matrix by giving parts of eigenvalues and corresponding eigenvectors.And the sufficient and necessary conditions for the existence of the solution of the problem are advanced.A algorithm is provided too.

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Available abstract

An inverse problem of generalized eigenvalue for Jacobi matrix is discussed on the base of some inverse problems of Jacobi matrix by giving parts of eigenvalues and corresponding eigenvectors.And the sufficient and necessary conditions for the existence of the solution of the problem are advanced.A algorithm is provided too.

Key concepts: Eigenvalues and eigenvectors, Jacobi eigenvalue algorithm, Jacobi method, Jacobi operator, Mathematics, Inverse, Matrix (chemical analysis), Inverse problem

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