4 papers · 1 filter
Convergence analysis of two-grid methods for symmetric positive semidefinite systems
Xuefeng Xu
Two-grid theory plays a fundamental role in the design and analysis of multigrid methods. This paper is devoted to a new convergence analysis of two-grid methods for singular and s…
Convergence analysis of two-level methods with general coarse solvers
Xuefeng Xu
Multilevel methods are among the most efficient numerical methods for solving large-scale linear systems that arise from discretized partial differential equations. The fundamental…
On the perturbation of the Moore-Penrose inverse of a matrix
Xuefeng Xu
The Moore-Penrose inverse of a matrix has been extensively investigated and widely applied in many fields over the past decades. One reason for the interest is that the Moore-Penro…
On the perturbation of an -orthogonal projection
Xuefeng Xu
The -orthogonal projection onto a subspace is an important mathematical tool, which has been widely applied in many fields such as linear least squares problems, eigenvalue pr…