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非单调光滑牛顿算法求解随机广义线性互补问题 被引量:1
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作者 张静 张颖 《南开大学学报(自然科学版)》 CAS CSCD 北大核心 2020年第2期29-37,共9页
研究了一类含有有限个离散型随机变量的随机广义线性互补问题的数值求解方法.利用期望均值重构和对称扰动的互补函数,将该问题重构成光滑方程组,并提出了一种具有新的非单调线搜索的光滑牛顿算法用来求解重构后问题.在一定条件下,此算... 研究了一类含有有限个离散型随机变量的随机广义线性互补问题的数值求解方法.利用期望均值重构和对称扰动的互补函数,将该问题重构成光滑方程组,并提出了一种具有新的非单调线搜索的光滑牛顿算法用来求解重构后问题.在一定条件下,此算法是全局收敛的,且其收敛速度是局部二次的. 展开更多
关键词 随机广义线性互补问题 期望均值重构 光滑牛顿算法 非单调线搜索
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Modulus-Based Matrix Splitting Iteration Methods for a Class of Stochastic Linear Complementarity Problem
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作者 Qianqian Lu Chenliang Li 《American Journal of Operations Research》 2019年第6期245-254,共10页
For the expected value formulation of stochastic linear complementarity problem, we establish modulus-based matrix splitting iteration methods. The convergence of the new methods is discussed when the coefficient matr... For the expected value formulation of stochastic linear complementarity problem, we establish modulus-based matrix splitting iteration methods. The convergence of the new methods is discussed when the coefficient matrix is a positive definite matrix or a positive semi-definite matrix, respectively. The advantages of the new methods are that they can solve the large scale stochastic linear complementarity problem, and spend less computational time. Numerical results show that the new methods are efficient and suitable for solving the large scale problems. 展开更多
关键词 Stochastic Linear Complementarity Problem Modulus-Based MATRIX Splitting expected value formulation Positive Semi-Definite MATRIX
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