| 求解2×2块对称不定线性方程组迭代法的收敛性分析(英文) |
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| 引用本文： | 温瑞萍,任孚鲛.求解2×2块对称不定线性方程组迭代法的收敛性分析(英文)[J].应用数学,2010,23(4). |
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| 作者姓名： | 温瑞萍 任孚鲛 |
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| 作者单位： | 太原师范学院数学系,山西,太原,030012 |
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| 摘 要： | 本文研究求解系数矩阵为2×2块对称不定矩阵时的线性方程组,提出了一种新的分裂迭代法,并通过研究迭代矩阵的谱半径,详细讨论了新方法的收敛性.最后,我们也讨论了预条件矩阵特征根的几条性质.
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| 关 键 词： | 分裂迭代法 收敛性 对称不定方程组 预条件矩阵 |
Convergence of Splitting Iterative Method for Two-by-two Block Symmetric Indefinite Linear Systems |
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| WEN Ruiping,REN Fujiao.Convergence of Splitting Iterative Method for Two-by-two Block Symmetric Indefinite Linear Systems[J].Mathematica Applicata,2010,23(4). |
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| Authors: | WEN Ruiping REN Fujiao |
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| Abstract: | In this paper,we present a new splitting iterative method for two-by-two block symmet-ric indefinite systems. The spectral radius of the iteration matrix for the new method is discussed in detail,the convergence theories of the splitting iterative method for augmented systems are ob-tained. Finally,we discuss the eigenvalues of preconditioned matrix. |
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| Keywords: | Splitting iterative method Convergence Symmetric indefinite systems Preconditioned matrix |
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