New multiplicative perturbation bounds for the generalized polar decomposition

2018/07/09 by Liu, Na, Luo, Wei, Xu, Qingxiang
#15A09 #15A23 #15A24 #15A60 #65F35 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1807.03298

Abstract

Some new Frobenius norm bounds of the unique solution to certain structured Sylvester equation are derived. Based on the derived norm upper bounds, new multiplicative perturbation bounds are provided both for subunitary polar factors and positive semi-definite polar factors. Some previous results are then improved.

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