复矩阵的一些特征量的界的新估计
首发时间:2014-12-05
摘要:本文通过利用近期关于矩阵特征值模的平方和的上界的研究成果,给出了矩阵秩和行列式上界的一些新估计,并利用矩阵展形的估计得到奇异矩阵谱半径的一个上界。数值算例表明结果是有效的。
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Some Bounds Estimation for Numerical Characteristics of complex Matrices
Abstract:In this paper, some sharpened estimation for the bounds of rank and determinant of matrices are given by using the latest upper bound value for the sum of squares of the module of its eigenvalues. In addition, we also get the upper bound for the spectral radius of singular matrix through the estimated matrix spread. At last, some numerical examples are given and show the effectiveness of our results .
Keywords: rank determinant spectral radius spread
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No.4620859100838614****
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