Estimation of A^-1_∞ for weakly chained diagonally dominant M-matrices

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• 作者：Ting-Zhu Huang ; Yan Zhu
• 关键词：Weakly chained diagonally dominant matrix ; ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0R-4XDKGRF-2&_mathId=mml8&_user=10&_cdi=5653&_pii=S002437950900487X&_rdoc=19&_issn=00243795&_acc
• 刊名：Linear Algebra and its Applications
• 出版年：2010
• 出版时间：15 January 2010
• 年：2010
• 卷：432
• 期：2-3
• 页码：670-677
• 全文大小：131 K

文摘

Let A be a weakly chained diagonally dominant (wcdd) M-matrix, an upper bound for A^-1_∞ is presented and further applied to establish an lower bound for the smallest eigenvalue of A. Effectiveness of the new upper bound is shown numerically.