Eigenvalue and inverse eigenvalue problem for Jacobi matrices
Deng Yi-hua
Abstract
Deng Yi-hua
Abstract
The eigenanalysis of Jacobi matrix was given firstly and then the problem on the construction of Jacobi matrix from one eigenpairs was discussed.The necessary and sufficient conditions for the existence of the Jacobi matrix in some sets were gained and the formula of the solution was derived.
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The eigenanalysis of Jacobi matrix was given firstly and then the problem on the construction of Jacobi matrix from one eigenpairs was discussed.The necessary and sufficient conditions for the existence of the Jacobi matrix in some sets were gained and the formula of the solution was derived.
Key concepts: Jacobi eigenvalue algorithm, Jacobi method, Jacobi operator, Eigenvalues and eigenvectors, Mathematics, Matrix (chemical analysis), Inverse, Applied mathematics