Condition number related to the outer inverse of a complex matrix
نویسندگان
چکیده
In this paper we obtain the formula for computing the condition number of a complex matrix, which is related to the outer generalized inverse of a given matrix. We use the Schur decomposition of a matrix. We characterize the spectral norm and the Frobenius norm of the relative condition number of the generalized inverse, and the level-2 condition number of the generalized inverse. The sensitivity for the generalized Drazin inverse solution of linear systems is presented. We also present the structured perturbation of the generalized inverse.
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 215 شماره
صفحات -
تاریخ انتشار 2009