Wei Luo

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math.FA2018

New multiplicative perturbation bounds for the generalized polar decomposition

Na Liu, Wei Luo, Qingxiang Xu

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…

math.FA2018

Perturbation estimation for the parallel sum of Hermitian positive semi-definite matrices

Wei Luo, Chuanning Song, Qingxiang Xu

Let $C^{n \times n}$ be the set of all $n \times n$ complex matrices. For any Hermitian positive semi-definite matrices $A$ and $B$ in $C^{n \times n}$ , their new c…