| A NOTE ON COMPARISON THEOREM OF TWO-STAGE ITERATIVE METHOD FOR HERMITIAN POSITIVE DEFINITE LINEAR SYSTEMS |
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| 引用本文： | 王川龙,王艳萍. A NOTE ON COMPARISON THEOREM OF TWO-STAGE ITERATIVE METHOD FOR HERMITIAN POSITIVE DEFINITE LINEAR SYSTEMS[J]. 高等学校计算数学学报(英文版), 2003, 12(1) |
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| 作者姓名： | 王川龙 王艳萍 |
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| 作者单位： | Department of Mathematics，Taiyuan Teacher’s College，Department of Economics，Taiyuan Teacher’s College Taiyuan PRC.030012，Taiyuan PRC.030012 |
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| 基金项目： | This work is supported by NSF of Shanxi province,20011041. |
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| 摘 要： | 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.
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A NOTE ON COMPARISON THEOREM OF TWO-STAGE ITERATIVE METHOD FOR HERMITIAN POSITIVE DEFINITE LINEAR SYSTEMS |
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| Wang Chuanlong. A NOTE ON COMPARISON THEOREM OF TWO-STAGE ITERATIVE METHOD FOR HERMITIAN POSITIVE DEFINITE LINEAR SYSTEMS[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 2003, 12(1) |
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| Authors: | Wang Chuanlong |
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| Affiliation: | Department of Mathematics, Taiyuan Teacher's College, Taiyuan 030012,PRC;Department of Economics, Taiyuan Teacher's College, Taiyuan 030012,PRC |
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| Abstract: | 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. |
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| Keywords: | two-stage iterative method Hermitian positive definite matrix Compari- son theorems. |
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