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Algorithms for solving the inverse problem associated with KAK =A^(s+1)

Repositori DSpace/Manakin

dc.contributor.author	Lebtahi, Leila
dc.contributor.author	Romero, Óscar
dc.contributor.author	Thome, Néstor
dc.date.accessioned	2017-03-22T18:39:34Z
dc.date.available	2017-03-22T18:39:34Z
dc.date.issued	2017
dc.identifier.citation	Lebtahi, Leila Romero, Óscar Thome, Néstor 2017 Algorithms for solving the inverse problem associated with KAK =A^(s+1) Journal of Computational and Applied Mathematics 309 333 341
dc.identifier.uri	http://hdl.handle.net/10550/57771
dc.description.abstract	In previous papers, the authors introduced and characterized a class of matrices called {K,s+1}-potent. Also, they established a method to construct these matrices. The purpose of this paper is to solve the associated inverse problem. Several algorithms are developed in order to find all involutory matrices K satisfying K A^(s+1) K = A for a given matrix A∈C^(n×n) and a given natural number s. The cases s=0 and s≥ are separately studied since they produce different situations. In addition, some examples are presented showing the numerical performance of the methods.
dc.language.iso	eng
dc.relation.ispartof	Journal of Computational and Applied Mathematics, 2017, vol. 309, p. 333-341
dc.subject	Matrius (Matemàtica)
dc.subject	Matemàtica aplicada
dc.title	Algorithms for solving the inverse problem associated with KAK =A^(s+1)
dc.type	journal article	es_ES
dc.date.updated	2017-03-22T18:39:34Z
dc.identifier.doi	10.1016/j.cam.2016.02.055
dc.identifier.idgrec	114149
dc.rights.accessRights	open access	es_ES