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- W2082298889 abstract "The BR algorithm, a new method for calculating the eigenvalues of an upper Hessenberg matrix, is introduced. It is a bulge-chasing algorithm like the QR algorithm, but, unlike the QR algorithm, it is well adapted to computing the eigenvalues of the narrow-band, nearly tridiagonal matrices generated by the look-ahead Lanczos process. This paper describes the BR algorithm and gives numerical evidence that it works well in conjunction with the Lanczos process. On the biggest problems run so far, the BR algorithm beats the $QR$ algorithm by a factor of 30--60 in computing time and a factor of over 100 in matrix storage space." @default.
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- W2082298889 date "1999-01-01" @default.
- W2082298889 modified "2023-09-23" @default.
- W2082298889 title "The BR Eigenvalue Algorithm" @default.
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- W2082298889 doi "https://doi.org/10.1137/s0895479897317077" @default.
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