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Parametrized solutions X of the system AXA = AEA and A^k EAX = XAEA^k for a matrix A having index k

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Parametrized solutions X of the system AXA = AEA and A^k EAX = XAEA^k for a matrix A having index k

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Ferreyra, DE.; Latanzi, M.; Levis, F.; Thome, N. (2019). Parametrized solutions X of the system AXA = AEA and A^k EAX = XAEA^k for a matrix A having index k. The Electronic Journal of Linear Algebra. 35:503-510. https://doi.org/10.13001/1081-3810.4051

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/140505

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Title: Parametrized solutions X of the system AXA = AEA and A^k EAX = XAEA^k for a matrix A having index k
Author: Ferreyra, David Eduardo Latanzi, Marina Levis, Fabian Thome, Néstor
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] Let A and E be n x n given complex matrices. This paper provides a necessary and sufficient condition for the solvability to the matrix equation system given by AXA = AEA and A(k) EAX = XAEA(k) , for k being the index ...[+]
Subjects: Matrix equations , Index , G-Drazin inverses , Generalized inverses
Copyrigths: Reserva de todos los derechos
Source:
The Electronic Journal of Linear Algebra. (issn: 1081-3810 )
DOI: 10.13001/1081-3810.4051
Publisher:
University of Wyoming Libraries
Publisher version: https://doi.org/10.13001/1081-3810.4051
Thanks:
Partially supported by Universidad Nacional de Rio Cuarto (grant PPI 18/C472) and CONICET (grant PIP 112-201501-00433CO). Partially supported by Universidad Nacional de La Pampa, Facultad de Ingenieria (grant Resol. ...[+]
Type: Artículo

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