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- Title
Computing the Eigenvectors of Nonsymmetric Tridiagonal Matrices.
- Authors
Van Dooren, P.; Laudadio, T.; Mastronardi, N.
- Abstract
The computation of the eigenvalue decomposition of matrices is one of the most investigated problems in numerical linear algebra. In particular, real nonsymmetric tridiagonal eigenvalue problems arise in a variety of applications. In this paper the problem of computing an eigenvector corresponding to a known eigenvalue of a real nonsymmetric tridiagonal matrix is considered, developing an algorithm that combines part of a sweep and part of a sweep, both with the shift equal to the known eigenvalue. The numerical tests show the reliability of the proposed method.
- Subjects
NONSYMMETRIC matrices; NUMERICAL solutions for linear algebra; SYMMETRIC matrices; MATRIX decomposition; ALGORITHMS; EIGENVALUES; EIGENVECTORS
- Publication
Computational Mathematics & Mathematical Physics, 2021, Vol 61, Issue 5, p733
- ISSN
0965-5425
- Publication type
Article
- DOI
10.1134/S0965542521050080