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SOR-Like Iteration Methods for Second-Order Cone Linear Complementarity Problems

East Asian Journal on Applied Mathematics, 2020
SOR-like modulus-based matrix splitting iteration methods for second-order cone linear complementarity problems using Jordan algebras are developed. The convergence of the methods is established and a strategy for the choice of the method parameters is ...
Zhizhi Li
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An Alternating Direction Method of Multipliers for Optimal Control Problems Constrained with Elliptic Equations

Advances in Applied Mathematics and Mechanics, 2020
In this paper, we propose an efficient numerical method for the optimal control problem constrained by elliptic equations. Being approximated by the finite element method (FEM), the continuous optimal control problem is discretized into a finite ...
Jinda Yang
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Two-Step Modulus-Based Matrix Splitting Iteration Methods for a Class of Implicit Complementarity Problems

Numerical Mathematics: Theory, Methods and Applications, 2019
Modulus-based matrix splitting iteration methods were recently proposed for solving implicit complementarity problems. In this paper, to solve a class of implicit complementarity problems, two-step modulus-based matrix splitting iteration methods are ...
Yan Wang
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Modulus-Based Multisplitting Iteration Methods for a Class of Nonlinear Complementarity Problems

East Asian Journal on Applied Mathematics, 2018
Modulus-based multisplitting iterative methods for large sparse nonlinear complementarity problems are developed. The approach is based on a reformulation of nonlinear complimentarily problems as implicit fixed-point equations and includes Jacobi, Gauss ...
Hongru Xu
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