Expression for the perturbation of the weighted Moore-Penrose inverse
نویسندگان
چکیده
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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Abstract. A well–known property of an irreducible non–singular M–matrix is that its inverse is non–negative. However, when the matrix is an irreducible and singular M–matrix it is known that it has a generalized inverse which is non–negative, but this is not always true for any generalized inverse. We focus here in characterizing when the Moore–Penrose inverse of a symmetric, singular, irreduci...
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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.
متن کاملIdempotents Related to the Weighted Moore–penrose Inverse
We investigate necessary and sufficient conditions for aae,f = bb † e,f to hold in rings with involution. Here, ae,f denotes the weighted Moore-Penrose inverse of a, related to invertible and Hermitian elements e, f ∈ R. Thus, some recent results from [7] are extended to the weighted Moore-Penrose inverse.
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2000
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(00)00041-9