Dashnic-Zusmanovich矩阵的逆矩阵无穷范数上界的估计
On Estimation of Upper Bound Infinity Norm of Inverse Matrix for Dashnic-Zusmanovich Matrix
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摘要: 研究Dashnic-Zusmanovich矩阵A的逆矩阵无穷范数和最小奇异值的估计问题. 利用矩阵A的定义和不等式的放缩技巧, 给出只涉及矩阵元素的估计式. 对于该问题的研究填补了关于Dashnic-Zusmanovich矩阵研究在这方面的空白. 数值算例说明了所给估计式的可行性和优越性.
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关键词:
- 奇异值 /
- 无穷范数 /
- 对角占优 /
- H-矩阵 /
- Dashnic-Zusmanovich矩阵
Abstract: The infinity norm of inverse of Dashnic-Zusmanovich matrix A and the smallest singular value of A and contraction technique of inequality have been studied, given the estimation formula of only involving elements of matrix.For the study of this problem aims to filling the gaps in the research on the Dashnic-Zusmanovich matrix in this area.Numerical example shows that the method in this paper is feasible and superiority. -
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