Block monotone iterative methods for elliptic variational inequalities

Zeng JP.; Zhou SZ.

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Block monotone iterative methods for elliptic variational inequalities

机译：椭圆变分不等式的块单调迭代方法

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This paper discusses some important block iterative methods for solving variational inequalities with a nonlinear operator and proves their monotone convergence properties and comparison theorems. These results extend C. V. Pao's research work in Numer. Math. (72) (1995) 239 to variational inequalities. (C) 2002 Elsevier Science Inc. All rights reserved. [References: 23]

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《Applied mathematics and computation》 |2002年第1期|共19页
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Zeng JP.; Zhou SZ.;
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正文语种 eng
中图分类应用数学;
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1. Block monotone iterative methods for elliptic variational inequalities [J] . Zeng JP., Zhou SZ. Applied mathematics and computation . 2002,第1期

机译：椭圆变分不等式的块单调迭代方法
2. On the Iteration Complexity of Some Projection Methods for Monotone Linear Variational Inequalities [J] . Chen Caihua, Fu Xiaoling, He Bingsheng, Journal of Optimization Theory and Applications . 2017,第3期

机译：关于单调线性变分不等式一些投影方法的迭代复杂性
3. Iterative methods for finding the minimum-norm solution of the standard monotone variational inequality problems with applications in Hilbert spaces [J] . Yu Zhou, Haiyun Zhou, Peiyuan Wang Journal of inequalities and applications . 2015,第1期

机译：求标准单调变分不等式问题的最小范数解的迭代方法及其在希尔伯特空间中的应用
4. On the analysis of reflected gradient and splitting methods for monotone stochastic variational inequality problems [C] . Shisheng Cui, Uday V. Shanbhag IEEE Conference on Decision and Control . 2016

机译：单调随机变分不等式问题的反射梯度和分裂方法分析
5. A continuation method for monotone variational inequality and complementary problems: With application to linear and nonlinear programming [D] . Chen, Bintong 1990

机译：单调变分不等式和互补问题的一种延续方法：在线性和非线性规划中的应用
6. Self-adaptive iterative method for solving boundedly Lipschitz continuous and strongly monotone variational inequalities [O] . Songnian He, Lili Liu, Aviv Gibali -1

机译：自适应求解有限的Lipschitz连续和强单调变分不等式的迭代方法
7. Iterative methods for finding the minimum-norm solution of the standard monotone variational inequality problems with applications in Hilbert spaces [O] . 2015

机译：寻找希尔伯特空间中标准单调变分不等式问题的最小范数解的迭代方法
8. Some Predict-Correct Projection Methods for Monotone Variational Inequalities [R] . He, B. 1995

机译：单调变分不等式的一些预测 - 正确投影方法

Block monotone iterative methods for elliptic variational inequalities

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