Multiplicative Perturbation Bounds for Weighted Unitary Polar Factor
نویسندگان
چکیده
The multiplicative perturbation bounds for weighted unitary polar factor are considered in the weighted unitary invariant norm, weighted spectral norm, and weighted Frobenius norm in this paper. As the special cases, new bounds for subunitary and unitary polar factor are also derived. These new bounds improve the corresponding results published recently to some extent. Mathematics subject classification (2010): 15A45, 65F35.
منابع مشابه
Some New Perturbation Bounds for the Generalized Polar Decomposition
The changes in the unitary polar factor under both multiplicative and additive perturbation are studied. A multiplicative perturbation bound and a new additive perturbation bound, in which a different measure of perturbation is introduced, are presented. AMS subject classification (2000): 15A18, 15A23, 65F35.
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