Xuefeng Xu

activity

20162024

most citedOn the perturbation of the Moore-Penrose inverse of a matrix

2 citations · 5 across the 14 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.NA2016

A new expression for the Moore-Penrose inverse of a class of matrices

Xuefeng Xu

An expression for the Moore-Penrose inverse of a matrix of the form M = XNY , where X and Y are nonsingular, has been recently established by Castro-González et al. [1, Theorem 2.2…

math.NA2016

New perturbation bounds for the spectrum of a normal matrix

Xuefeng Xu, Chen-Song Zhang

Let $A \in C^{n \times n}$ and $A \in C^{n \times n}$ be two normal matrices with spectra ${λ_{i}}_{i = 1}^{n}$ and ${λ_{i}}_{i = 1}^{n}$ , respect…

math.NA2016★ 1 cited

Generalization of the Sherman-Morrison-Woodbury formula involving the Schur complement

Xuefeng Xu

Let $X \in C^{m \times m}$ and $Y \in C^{n \times n}$ be nonsingular matrices, and let $N \in C^{m \times n}$ . Explicit expressions for the Moore-Penrose inverses…

math.NA2016

An improved upper bound for the number of distinct eigenvalues of a matrix after perturbation

Xuefeng Xu

An upper bound for the number of distinct eigenvalues of a perturbed matrix has been recently established by P. E. Farrell [1, Theorem 1.3]. The estimate is the central result in F…