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A simultaneous canonical form of a pair of matrices and applications involving the weighted Moore-Penrose inverse

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A simultaneous canonical form of a pair of matrices and applications involving the weighted Moore-Penrose inverse

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Thome, N. (2016). A simultaneous canonical form of a pair of matrices and applications involving the weighted Moore-Penrose inverse. Applied Mathematics Letters. 53:112-118. doi:10.1016/j.aml.2015.10.012

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/84990

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Title: A simultaneous canonical form of a pair of matrices and applications involving the weighted Moore-Penrose inverse
Author: Thome, Néstor
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
In this paper, a simultaneous canonical form of a pair of rectangular complex matrices is developed. Using this new tool we give a necessary and sufficient condition to assure that the reverse order law is valid for the ...[+]
Subjects: Factorization , Weighted Moore-Penrose inverse , Reverse order law , Partial order
Copyrigths: Reserva de todos los derechos
Source:
Applied Mathematics Letters. (issn: 0893-9659 )
DOI: 10.1016/j.aml.2015.10.012
Publisher:
Elsevier
Publisher version: http://doi.org/10.1016/j.aml.2015.10.012
Thanks:
The author thanks the referee for her/his valuable comments and suggestions; specially for suggesting the corollaries extending to the weighted case. This paper has been partially supported by Ministerio de Economia y ...[+]
Type: Artículo

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