New multiplicative perturbation bounds for the generalized polar decomposition
作者：
Highlights：
•
摘要
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.
论文关键词：Structured Sylvester equation,Multiplicative perturbation,Generalized polar decomposition,Frobenius norm bound,Moore–Penrose inverse
论文评审过程：Received 3 February 2018, Revised 1 June 2018, Accepted 9 July 2018, Available online 7 August 2018, Version of Record 7 August 2018.
论文官网地址：https://doi.org/10.1016/j.amc.2018.07.023
