5 papers
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…
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…
Kaczmarz-Type Method for Solving Matrix Equation
Xing Lili, Bao Wendi, Li Weiguo
In this paper, several row and column orthogonal projection methods are proposed for solving matrix equation , where the matrix and are full rank or rank deficient a…
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…
Quantum relaxed row and column iteration methods based on block-encoding
Xiao-Qi Liu, Jing Wang, Ming Li +3
Iteration method is commonly used in solving linear systems of equations. We present quantum algorithms for the relaxed row and column iteration methods by constructing unitary mat…