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A NOTE ON COMPARISON THEOREM OF TWO-STAGE ITERATIVE METHOD FOR HERMITIAN POSITIVE DEFINITE LINEAR SYSTEMS 被引量：1

A NOTE ON COMPARISON THEOREM OF TWO-STAGE ITERATIVE METHOD FOR HERMITIAN POSITIVE DEFINITE LINEAR SYSTEMS
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摘要 We discuss two-stage iterative methods for the solution of linear systemAx = b, and give a new proof of the comparison theorems of two-stage iterative methodfor an Hermitian positive definite matrix. Meanwhile, we put forward two new versionsof well known comparison theorem and apply them to some examples. We discuss two-stage iterative methods for the solution of linear system Ax = b, and give a new proof of the comparison theorems of two-stage iterative method for an Hermitian positive definite matrix. Meanwhile, we put forward two new versions of well known comparison theorem and apply them to some examples.
作者 王川龙 王艳萍
机构地区 Department of Mathematics Department of Economics
出处 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 2003年第1期59-65,共7页
基金 This work is supported by NSF of Shanxi province,20011041.
关键词 Hermitian正定线性系统 HERMITIAN矩阵 正定矩阵 二阶迭代法 比较定理 two-stage iterative method, Hermitian positive definite matrix, Compari- son theorems.
分类号 O241.6 [理学—计算数学]
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参考文献9

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引证文献1

Numerical Mathematics A Journal of Chinese Universities(English Series)
2003年 第1期

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