A Variant of the Inverted Lanczos Method
Copyright policy )A Variant of the Inverted Lanczos Method
In this note we study a variant of the inverted Lanczos method which computes eigenvalue approximates of a symmetric matrix A from the projection to a Krylov space of A method at least as long as reorthogonalization is not required. The method is applied to the problem of determining the smallest eigenvalue of a symmetric Toeplitz matrix. It is accelerated taking advantage of symmetry properties of the corresponding eigenvector.
510: Mathematik, 65F15, Lanczos method, Eigenwertproblem, 65F15:Eigenvalues, eigenvectors, Toeplitz-Matrix, eigenvalue problem, Toeplitz matrix, symmetry properties, 510
510: Mathematik, 65F15, Lanczos method, Eigenwertproblem, 65F15:Eigenvalues, eigenvectors, Toeplitz-Matrix, eigenvalue problem, Toeplitz matrix, symmetry properties, 510
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