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- W2019645585 abstract "In this paper we design a fast new algorithm for reducing an N × N quasiseparable matrix to upper Hessenberg form via a sequence of N − 2 unitary transformations. The new reduction is especially useful when it is followed by the QR algorithm to obtain a complete set of eigenvalues of the original matrix. In particular, it is shown that in a number of cases some recently devised fast adaptations of the QR method for quasiseparable matrices can benefit from using the proposed reduction as a preprocessing step, yielding lower cost and a simplification of implementation." @default.
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- W2019645585 date "2007-01-01" @default.
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- W2019645585 title "On the fast reduction of a quasiseparable matrix to Hessenberg and tridiagonal forms" @default.
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- W2019645585 doi "https://doi.org/10.1016/j.laa.2006.06.028" @default.
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