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• W3144880049 abstract "Let A be an $m times n, (m geq n)$ complex matrix. It is known that there is a unique polar decomposition$A = QH$, where $Q^ * Q = I$, the $n times n$ identity matrix, and H is positive definite, provided A has full column rank. This note addresses the following question; How much may Q change if A is perturbed? For the square case $m = n$ our bound, which is valid for any unitarily invariant norm, is sharper and simpler than that of Mathias [SIAM J. Matrix Anal. Appl., 14 (1993), pp. 588–597]. For the nonsquare case, a bound is also established for unitarily invariant norm, which has not been done in the literature." @default.
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• W3144880049 date "1995-01-01" @default.
• W3144880049 modified "2023-10-03" @default.
• W3144880049 title "New Perturbation Bounds for the Unitary Polar Factor" @default.
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• W3144880049 doi "https://doi.org/10.1137/s0895479893256359" @default.
• W3144880049 hasPublicationYear "1995" @default.
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