| 圆盘定理的改进与弱连对角占优矩阵 |
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| 引用本文： | 王川龙,游兆永.圆盘定理的改进与弱连对角占优矩阵[J].应用数学学报,1997,20(1):114-118. |
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| 作者姓名： | 王川龙 游兆永 |
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| 作者单位： | [1]山西2大学师范学院数学系 [2]西安交通大学应用数学研究中心 |
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| 摘 要： | 本文对圆盘定理进行了改进，给出了特征值分布新的估计，由此引出了弱连对角占优矩阵，讨论了其基本性质，重点分析了该类矩阵的逆与分裂特征，证明了在该类矩阵条件下Ｈ－相容分裂是收敛分裂，并给出迭代矩阵谱半径的上界及ＳＯＲ算法中参数ω的选取范围。
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| 关 键 词： | 圆盘定理 H－相容分裂 弱连对角占优阵 特征值 |
THE IMPROVEMENT OF DISC-THEOREM AND WEAK DOUBLE DIAGONALLY DOMINANT MATRICES |
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| WANG CHUANLONG.THE IMPROVEMENT OF DISC-THEOREM AND WEAK DOUBLE DIAGONALLY DOMINANT MATRICES[J].Acta Mathematicae Applicatae Sinica,1997,20(1):114-118. |
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| Authors: | WANG CHUANLONG |
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| Abstract: | In this paper, we improve the disc theorem, and give the new estimation ofeigenvalues so that weak double diagonally dominant matrix is introduced. We discuss itsbasic properties and intensively analysis its inverse and splitting characterization, we also prove H-compatible splitting is convergent, and give the upper bound of iteration matrix'sspectral radius and the region of the parameter w in SOR algorithm. |
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| Keywords: | Disc theorem weak double diagonally dominant matrix H-compatible splitting |
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