Improving approximate inverses based on Frobenius norm minimization
Data(s) |
07/04/2016
07/04/2016
2013
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Resumo |
<p>[EN]Approximate inverses, based on Frobenius norm minimization, of real nonsingular matrices are analyzed from a purely theoretical point of view. In this context, this paper provides several sufficient conditions, that assure us the possibility of improving (in the sense of the Frobenius norm) some given approximate inverses. Moreover, the optimal approximate inverses of matrix A ∈ R n×n , among all matrices belonging to certain subspaces of R n×n , are obtained. Particularly, a natural generalization of the classical normal equations of the system Ax = b is given, when searching for approximate inverses N 6= AT such that AN is symmetric and kAN − IkF < AAT − I F …</p> |
Identificador |
http://hdl.handle.net/10553/16396 721045 <p>10.1016/j.amc.2013.03.057</p> |
Idioma(s) |
eng |
Direitos |
Acceso libre by-nc-nd |
Fonte |
<p>Applied Mathematics and Computation. -- Netherlands, Elsevier Science. -- ISSN 0096-3003. -- Marzo 13, 2013</p> |
Palavras-Chave | #120111 Teoría de matrices #120610 Matrices #12 Matemáticas |
Tipo |
info:eu-repo/semantics/preprint |