Ela the Optimal Perturbation Bounds for the Weighted Moore-penrose Inverse
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چکیده
In this paper, we obtain optimal perturbation bounds of the weighted Moore-Penrose inverse under the weighted unitary invariant norm, the weighted Q-norm and the weighted F -norm, and thereby extend some recent results.
منابع مشابه
The optimal perturbation bounds for the weighted Moore-Penrose inverse
In this paper, we obtain optimal perturbation bounds of the weighted Moore-Penrose inverse under the weighted unitary invariant norm, the weighted Q-norm and the weighted F -norm, and thereby extend some recent results.
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In this paper, several equivalent conditions related to the reverse order law for the Moore-Penrose inverse in C-algebras are studied. Some well-known results are extended to more general settings. Then this result is applied to obtain the reverse order rule for the weighted Moore-Penrose inverse in C-algebras.
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In this paper, we present characterizations for the level-2 condition number of the weighted Moore–Penrose inverse, i.e., condMN (A) ≤ cond [2] MN (A) ≤ condMN (A)+ 1, where condMN (A) is the condition number of the weighted Moore–Penrose inverse of a rectangular matrix and cond [2] MN (A) is the level-2 condition number of this problem. This paper extends the result by Cucker, Diao and Wei [F....
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A new Schulz-type method to compute the Moore-Penrose inverse of a matrix is proposed. Every iteration of the method involves four matrix multiplications. It is proved that this method converge with fourth-order. A wide set of numerical comparisons shows that the average number of matrix multiplications and the average CPU time of our method are considerably less than those of other methods.
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تاریخ انتشار 2011