Lebtahi Ep-Kadi-Hahifi, L.; Romero Martínez, JO.; Thome Coppo, NJ. (2017). Algorithms for solving the inverse problem associated with KAK = A(s+1). Journal of Computational and Applied Mathematics. 309:333-341. https://doi.org/10.1016/j.cam.2016.02.055
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/92205
[EN] 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 ...[+]
[EN] 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 KAs+1K = A for a given matrix A ¿ C
n×n
and a given natural number s. The cases s = 0 and s ¿ 1 are separately studied since
they produce different situations. In addition, some examples are presented showing the
numerical performance of the methods.[-]
info:eu-repo/grantAgreement/MINECO//MTM2013-43678-P/ES/ANALISIS DE MODELOS MATEMATICOS CON COEFICIENTES MATRICIALES: FUNDAMENTOS TEORICOS Y APLICACIONES/ info:eu-repo/grantAgreement/MINECO//MTM2015-68805-REDT/ES/RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES/ info:eu-repo/grantAgreement/UBA//7000%2F13/
Thanks:
This work was partially supported by Ministerio de Economía y Competitividad (Grant DGIMTM2013-43678-P and Redes de Excelencia MTM2015-68805-REDT) and Universidad de Buenos Aires, Secretaría de Ciencia y Técnica, Argentina ...[+]
This work was partially supported by Ministerio de Economía y Competitividad (Grant DGIMTM2013-43678-P and Redes de Excelencia MTM2015-68805-REDT) and Universidad de Buenos Aires, Secretaría de Ciencia y Técnica, Argentina (Grant EXP-UBA: 9.011/2013, Res.: (CS) No. 7000/13).[-]