Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509421 | Journal of Computational and Applied Mathematics | 2005 | 20 Pages |
Abstract
In this paper, we investigate the condition number of Drazin inverse and Drazin-inverse solution of singular linear system Ax=b, where A is a nÃn rank-deficient matrix and b a real vector of size n, x a real vector. Let α and β be two positive real numbers, when we consider the weighted Frobenius norm â¥[αA,βb]â¥P,Q(F) on the data we get the formula of condition number of the Drazin-inverse solution of singular linear system. For the normwise condition number, the sensitivity of the relative condition number itself is studied, the componentwise perturbation is also investigated.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yimin Wei, Huaian Diao,