| 块H－矩阵的进一步推广 |
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| 引用本文： | 游兆永,王川龙.块H－矩阵的进一步推广[J].纯粹数学与应用数学,1995(2). |
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| 作者姓名： | 游兆永 王川龙 |
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| 作者单位： | 西安交通大学 |
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| 摘 要： | 对Ｎａｂｂｅｎ［２］提出的块Ｈ－矩阵做进一步推广，使得非对角块矩阵不必是Ｈｅｒｍｉｔｅ矩阵．但仍保留其基本特征不变．对块Ｈ－矩阵提出块Ｈ－分裂及块相容Ｈ－分裂．证明了矩阵的任意块相容Ｈ－分裂都是收敛分裂．对ＪＯＲ迭代法给出松驰参数的上界．
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| 关 键 词： | 块比较矩阵，块H－分裂，块相容H－分裂 |
THE FURTHER GENERALIZATION FOR BLOCK H-MATRIX |
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| You Zhaoyong, Wang Chuanlong.THE FURTHER GENERALIZATION FOR BLOCK H-MATRIX[J].Pure and Applied Mathematics,1995(2). |
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| Authors: | You Zhaoyong Wang Chuanlong |
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| Abstract: | This paper generalizes the block H-matrix proposed by Nabben in 1992, so that off-diagonal blocks need not Hermitian and basic properties be hold. The block H-splitting and block H-compatible splitting are proposed. The convergence of block H-compatible splitting for the block Hmatrix is proved. The upper value of relaxation parameter w is given to be where A=D=B. |
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| Keywords: | block comparison matrix block H-splitting block H-compatible splitting |
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