Article ID Journal Published Year Pages File Type
4633395 Applied Mathematics and Computation 2008 11 Pages PDF
Abstract
In this paper, we get the explicit condition number formulas for the W-weighted Drazin inverse of a rectangular matrix using the Schur decomposition and the spectral norm. We characterize the spectral norm and the Frobenius norm of the relative condition number of the W-weighted Drazin inverse, and the level-2 condition number of the W-weighted Drazin inverse. The sensitivity for the W-weighted Drazin inverse solution of linear systems is presented. We also present the structured perturbation of the W-weighted Drazin inverse.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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