3 papers
math.NA2023
A sketch-and-project method for solving the matrix equation AXB = C
Wendi Bao, Zhiwei Guo, Weiguo Li +2
In this paper, based on an optimization problem, a sketch-and-project method for solving the linear matrix equation AXB = C is proposed. We provide a thorough convergence analysis…
math.NA2023
Kaczmarz-Type Methods for Solving Matrix Equations
Weiguo Li, Wendi Bao, Lili Xing +1
In this paper, several Kaczmarz-type numerical methods for solving the matrix equation and are proposed, where the coefficient matrix may be full rank or rank def…
math.NA2023
A class of pseudoinverse-free greedy block nonlinear Kaczmarz methods for nonlinear systems of equations
Ying Lv, Wendi Bao, Lili Xing +1
In this paper, we construct a class of nonlinear greedy average block Kaczmarz methods to solve nonlinear problems without computing the Moore-Penrose pseudoinverse. This kind of m…