线性互补问题基于模同步块多重分裂方法的收敛性  

Convergent analysis of linear complementarity problems based on synchronous block multisplitting iteration methods

作　　者：孙冲冲[1] 汪祥[1] 李燕[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《南昌大学学报（理科版）》2013年第4期307-312,共6页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(11101204);江西省青年科学家(井冈之星)项目(20122BCB23003);江西省自然科学基金资助项目(20114BAB201004);江西省教育厅科研项目(GJJ12011);江西省研究生创新项目(YC2011-S007)

摘　　要：通过利用不动点迭代来研究线性互补问题,根据基模同步多重分裂迭代方法将其线性互补问题的系数矩阵是点的形式推广到块H+的形式,并且分析了当系数矩阵是块矩阵时线性互补问题解的收敛情况。We studied the linear complementarity problem by using the fixed point iteration method in this paper. Its coefficient matrix was generalized from point form to block form,according to the modulus-based synchronous multi-splitting iteration methods. We also established the convergence theory of these modu- lus-based synchronous block multisptitting iteration methods when the coefficient matrix was a block ma- trix.

关 键 词：线性互补问题 块多重分裂 块H＋矩阵 模方法 

分 类 号：O241.6[理学—计算数学]