| 分配格上对角占优阵的幂收敛性与可实现问题 |
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| 引用本文： | 郑丽霞,段俊生. 分配格上对角占优阵的幂收敛性与可实现问题[J]. 内蒙古工业大学学报, 2000, 19(2): 98-100 |
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| 作者姓名： | 郑丽霞 段俊生 |
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| 作者单位： | 内蒙古工业大学基础部,内蒙古呼和浩特 |
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| 摘 要： | 本文得到分配格上行（或列）对角占优阵Ａ的不变式ｐｅｒ（Ａ）的特征，以及Ａ的幂序列的收敛性。给出对称方阵可实现的充要条件，对于有界分配格上的行（或列）对角占优阵给出其可逆的充要条件。
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| 关 键 词： | 对角占优阵 幂收敛性 分配格 |
| 文章编号： | 1001-5167(2000)02-0098-03 |
CONVERGENCE AND REALIZABILITY OF DIAGONALLY DOMINANT MATRIX OVER DISTRIBUTIVE LATTICE |
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| ZHENG Li|xia,DUAN Jun sheng. CONVERGENCE AND REALIZABILITY OF DIAGONALLY DOMINANT MATRIX OVER DISTRIBUTIVE LATTICE[J]. Journal of Inner Mongolia Polytechnic University(Social Sciences Edition), 2000, 19(2): 98-100 |
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| Authors: | ZHENG Li|xia DUAN Jun sheng |
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| Abstract: | In this paper,a discussion is held about the permanent and the power convergence of the row (or column) diagonally dominant matrix over distributive lattice L.A necessary and sufficient condition for realizability of a symmetric matrix A over L is given,that is , A must be a diagonally dominant matrix. |
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| Keywords: | row (or column) diagonally dominant matrix symmetric matrix realizability |
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