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弱链对角占优M矩阵特征值的界

The Bounds of Eigenvalue for Weakly Chained Dominant M-Matrix
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摘要 利用构造的方法得到了弱链对角占优M矩阵A的逆矩阵A-1非主对角元素的一些新的改进的界,并应用这些估计式得到A-1主对角元素的新界,将这些新界与该类矩阵的最小特征值τ(A)经典的下界估计式结合,得到τ(A)新的提高的且易于计算的界. Using the constructed method gets new improved bounds of non-diagonal elements of the inverse matrix A-1 of weak chain diagonally dominant M-matrix A,and using these estimation formula gets the new bounds of diagonal elements of A-1 .Lastly mixing together these new bounds with the classical lower bound of minimum eigenvalue ofτ(A)for this matrix gets the new improved and easy to calculate bounds.
出处 《昆明学院学报》 2014年第3期15-17,共3页 Journal of Kunming University
基金 云南省教育厅科学研究基金资助项目(2013Y585 2012Y270) 文山学院重点学科数学建设资助项目(12WSXK01)
关键词 弱链对角占优矩阵 M-矩阵 最小特征值 下界 迭代矩阵 weakly chained dominant matrix M-matrix minimum eigenvalue lower bound iterative matrix
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