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- W2073605792 abstract "A multiprocessor algorithm for finding few or all eigenvalues and the corresponding eigenvectors of a symmetric tridiagonal matrix is presented. It is a pipelined variation of EISPACK routines—BISECT and TINVIT which consists of the three steps: isolation, extraction-inverse iteration, and partial orthogonalization. Multisections are performed for isolating the eigenvalues in a given interval, while bisection or the Zeroin method is used to extract these isolated eigenvalues. After the corresponding eigenvectors have been computed by inverse iteration, the modified Gram-Schmidt method is used to orthogonalize certain groups of these vectors. Experiments on the Alliant FX/8 and CRAY X-MP/48 multiprocessors show that this algorithm achieves high speed-up over BISECT and TINVIT; in fact it is much faster than TQL2 when all the eigenvalues and eigenvectors are required." @default.
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- W2073605792 date "1987-03-01" @default.
- W2073605792 modified "2023-09-27" @default.
- W2073605792 title "A Multiprocessor Algorithm for the Symmetric Tridiagonal Eigenvalue Problem" @default.
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