多右端线性方程组总体CG方法的残量分析

Residual analysis of the global CG method for linear systems with multiple right-hand sides

总体CG方法是求解对称正定多右端大型线性方程组的非常有效的方法之一.利用矩阵Schur补的定义和性质给出总体CG方法残量的精确表达式.

Global CG method is one of the very effective methods for solving large symmetric position definite linear systems with multiple right-hand sides. This paper mainly give an accurate expression of the global CG method＇ s residual, by combining with the definition and nature of Schur complement.