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- W2384013611 abstract "We propose the refined biorthogonalization Lanczos method for modifying the classical biorthogonalization Lanczos method according to the refined projected method. First,we transform the projected matrix Tm of unsymmetric matrix A to obtain a tridiagonal matrix Tm with the same eigenvalues,and Tm satisfies TTm= Tm. We use the eigenvalues of matrix Tm as the approximate eigenvalues of matrix A. At the same time,the left and right refined vectors of matrix A are used as the approximate left and right eigenvectors of matrix A respectively. The eigenvalues of matrix Tm are easily computed,and it can be used to compute high precision approximate eigenvalues. The theory shows that the method is superior to the biorthogonalization Lanczos method in computing large unsymmetric eigen problems." @default.
- W2384013611 created "2016-06-24" @default.
- W2384013611 creator A5085876587 @default.
- W2384013611 date "2013-01-01" @default.
- W2384013611 modified "2023-09-27" @default.
- W2384013611 title "The Refined Biorthogonalization Lanczos Method" @default.
- W2384013611 hasPublicationYear "2013" @default.
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