Multiplicative perturbation bounds for weighted polar decomposition

Autor:	Xiaoli Hong, Lingsheng Meng, Bing Zheng
Rok vydání:	2013
Předmět:	Combinatorics Computational Mathematics Pure mathematics Algebra and Number Theory Multiplicative perturbation Norm (mathematics) Numerical analysis Theory of computation Polar decomposition Matrix norm Polar Unitary state Mathematics
Zdroj:	Calcolo. 51:515-529
ISSN:	1126-5434 0008-0624
DOI:	10.1007/s10092-013-0099-z
Popis:	In this paper, we obtain the multiplicative perturbation bounds for generalized nonnegative polar factor of weighted polar decomposition under the weighted unitarily invariant norm, weighed Frobenius norm and weighted spectral norm, respectively. More sharper bounds than the known ones are also obtained under certain condition. Moreover, new multiplicative perturbation bounds for weighted unitary polar factor are also given under the weighted unitarily invariant norm, which improve the existing multiplicative perturbation bounds.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e2c8764d695104ec2cbc1e7f6d9d07ad https://doi.org/10.1007/s10092-013-0099-z Zobrazit plný text záznamu Full text from SpringerLink