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• W2013171201 abstract "In this paper, we present two fast numerical methods for computing the QR factorization of an n×n Cauchy-like matrix C, C=QR, with data points lying on the real axis or on the unit circle in the complex plane. It is shown that the rows of the Q-factor of C are the eigenvectors of a rank structured matrix partially determined by some prescribed spectral data. This property establishes a basic connection between the computation of Q and the solution of an inverse eigenvalue problem for a rank structured matrix. Exploiting the structure of this problem enables us to develop quadratic time, i.e., O(n2), QR factorization algorithms." @default.
• W2013171201 created "2016-06-24" @default.
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• W2013171201 date "2008-01-01" @default.
• W2013171201 modified "2023-09-27" @default.
• W2013171201 title "Fast QR factorization of Cauchy-like matrices" @default.
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• W2013171201 doi "https://doi.org/10.1016/j.laa.2007.08.038" @default.
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