7 papers · 1 filter
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…
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…