3 citations · 3 across the 12 of their papers we have counts for
13 papers
A greedy double-block nonlinear Bregman-Kaczmarz method for nonlinear equations
Wendi Bao, Jing Li, Lili Xing +1
In this paper, we develop a greedy double-block nonlinear Bregman-Kaczmarz method to efficiently find sparse solutions of nonlinear equations. The theoretical convergence rate of t…
On a stochastic column-block bregman method for nonlinear systems
Wendi Bao, Naiyu Jiang, Lili Xing +1
Sparse solution problems play an important role in both signal processing and image restoration. In this paper, we propose a stochastic column-block nonlinear Bregman method for ef…
On convergence of residual-based extended randomized Kaczmarz methods for matrix equations
Wendi Bao, Jing Li, Lili Xing +2
In this paper, for solving inconsistent matrix equations we propose a dual-space residual-based randomized extended Kaczmarz method and its version with Nesterov momentum. Without…
A stochastic column-block gradient descent method for solving nonlinear systems of equations
Naiyu Jiang, Wendi Bao, Lili Xing +1
In this paper, we propose a new stochastic column-block gradient descent method for solving nonlinear systems of equations. It has a descent direction and holds an approximately op…
On convergence of greedy block nonlinear Kaczmarz methods with momentum
Naiyu Jiang, Wendi Bao, Lili Xing +1
In this paper, for solving nonlinear systems we propose two pseudoinverse-free greedy block methods with momentum by combining the residual-based weighted nonlinear Kaczmarz and he…
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…
On sampling Kaczmarz-Motzkin methods for solving large-scale nonlinear systems
Feiyu Zhang, Wendi Bao, Weiguo Li +1
In this paper, for solving large-scale nonlinear equations we propose a nonlinear sampling Kaczmarz-Motzkin (NSKM) method. Based on the local tangential cone condition and the Jens…
Greedy Randomized and Maximal Weighted Residual Kaczmarz Methods with Oblique Projection
Fang Wang, Weiguo Li, Wendi Bao +1
For solving large-scale consistent linear system, we combine two efficient row index selection strategies with Kaczmarz-type method with oblique projection, and propose a greedy ra…
On Kaczmarz method with oblique projection for solving large overdetermined linear systems
Weiguo Li, Qifeng Wang, Wendi Bao +1
In this paper, an extension of Kaczmarz method, the Kaczmarz method with oblique projection (KO), is introduced and analyzed. Using this method, a number of iteration steps to solv…
Gauss-Seidel Method with Oblique Direction
Fang Wang, Weiguo Li, Wendi Bao +1
In this paper, a Gauss-Seidel method with oblique direction (GSO) is proposed for finding the least-squares solution to a system of linear equations, where the coefficient matrix m…