解非对称鞍点问题的广义交替分裂预处理子的一个注记

摘要

Recently, CAO et al introduced a generalized shift-splitting preconditioner for saddle point problems with nonsymmetric positive definite (1,1)-block.In this paper, we establish a parameterized shift-splitting preconditioner for solving the large sparse augmented systems of linear equations.Furthermore, we obtain some useful properties of the new preconditioned saddle point matrix, which has the intersection with the generalized shift-splitting preconditioner.%最近,曹等提出了解非对称正定(1,1)-块鞍点问题的广义交替分裂预处理子.确立了一类参数交替分裂预处理子.针对新预处理鞍点矩阵,取得了一些有意义的性质,这与广义交替分裂预处理子有交集.