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Browsing by Author "Lebtahi Ep-Kadi-Hahifi, Leila"

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Browsing by Author "Lebtahi Ep-Kadi-Hahifi, Leila"

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    Algorithms for solving the inverse problem associated with KAK = A(s+1) 
    Lebtahi Ep-Kadi-Hahifi, Leila; Romero Martínez, José Oscar; Thome Coppo, Néstor Javier (Elsevier, 2017)
    [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 ...
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    Algorithms for {K, s + 1}-potent matrix constructions 
    Lebtahi Ep-Kadi-Hahifi, Leila; Romero Martínez, José Oscar; Thome, Néstor (Elsevier, 2013-09)
    In this paper, we deal with {K, s + 1}-potent matrices. These matrices generalize all the following classes of matrices: k-potent matrices, periodic matrices, idempotent matrices, involutory matrices, centrosymmetric ...
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    Characterizations of {K,s+1}-Potent Matrices and Applications 
    Lebtahi Ep-Kadi-Hahifi, Leila; Romero Martínez, José Oscar; Thome, Néstor (Elsevier, 2012-01-15)
    Recently, situations where a matrix coincides with some of its powers have been studied. This kind of matrices is related to the generalized inverse matrices. On the other hand, it is possible to introduce another class ...
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    Estudio de la clase de matrices {K,s+1}-potentes 
    Romero Martínez, José Oscar (Universitat Politècnica de València, 2012-06-05)
    En esta tesis doctoral se han introducido y analizado de manera exhaustiva una nueva clase de matrices denominada matrices {K,s+1}-potentes. Estas matrices contienen como casos particulares las matrices {s+1}-potentes, ...
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    Existencia de la solución del problema del valor propio inverso para matrices J-Hamiltonianas 
    Gigola, Silvia Viviana; Lebtahi Ep-Kadi-Hahifi, Leila; Thome, Néstor (Asociación Argentina de Matemática Aplicada, Computacional e Industrial, 2013)
    El problema del valor propio inverso tiene como prop´osito la construcci´on de una matriz con una de- terminada estructura que posea cierto espectro predefinido. Se estudia el siguiente problema: dadas X 2 Cn×m y D 2 ...
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    Further results on generalized centro-invertible matrices 
    Lebtahi Ep-Kadi-Hahifi, Leila; Romero Martínez, José Oscar; Thome, Néstor (Springer-Verlag, 2018)
    [EN] This paper deals with generalized centro-invertible matrices introduced by the authors in Lebtahi et al. (Appl. Math. Lett. 38, 106¿109, 2014). As a first result, we state the coordinability between the classes of ...
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    Generalized centro-invertible matrices with applications 
    Lebtahi Ep-Kadi-Hahifi, Leila; Romero Martínez, José Oscar; Thome, Néstor (Elsevier, 2014-12)
    Centro-invertible matrices are introduced by R.S. Wikramaratna in 2008. For an involutory matrix R, we define the generalized centro-invertible matrices with respect to R to be those matrices A such that RAR = A^−1. ...
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    Inverse eigenvalue problem for normal J-hamiltonian matrices 
    Gigola, Silvia Viviana; Lebtahi Ep-Kadi-Hahifi, Leila; Thome, Néstor (Elsevier, 2015-10)
    [EN] A complex square matrix A is called J-hamiltonian if AT is hermitian where J is a normal real matrix such that J(2) = -I-n. In this paper we solve the problem of finding J-hamiltonian normal solutions for the inverse ...
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    Matrices A such that A^(s+1)R = RA^*; with R^k = I 
    Catral, Minerva; Lebtahi Ep-Kadi-Hahifi, Leila; Stuart, Jeffrey; Thome, Néstor (Elsevier, 2018)
    [EN] We study matrices A is an element of C-n x n such that A(s+1)R = RA* where R-k = I-n, and s, k are nonnegative integers with k >= 2; such matrices are called {R, s+1, k, *}-potent matrices. The s = 0 case corresponds ...
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    Matrices A such that RA = A^s+1 R when R^k = I 
    Lebtahi Ep-Kadi-Hahifi, Leila; Stuart, J.; Thome, Néstor; Weaver, J.R. (Elsevier, 2013-08)
    This paper examines matrices A is an element of C-nxn such that RA = A(s+1) R where R-k = I, the identity matrix, and where sand k are nonnegative integers with k >= 2. Spectral theory is used to characterize these matrices. ...
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    On a matrix group constructed from an {R,s+1,K}-potent matrix 
    Catral, M.; Lebtahi Ep-Kadi-Hahifi, Leila; Stuart, Jeffrey; Thome, Néstor (Elsevier, 2014-11-15)
    Let R is an element of C-nxn be a {k}-involutory matrix (that is, R-k = I-n) for some integer k >= 2, and let s be a nonnegative integer. A matrix A is an element of C-nxn is called an {R,s + 1, k}-potent matrix if A ...
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    Problema de optimización para matrices normales J-hamiltonianas 
    Gigola, Silvia Viviana; Lebtahi Ep-Kadi-Hahifi, Leila; Thome, Néstor (Asociación Argentina de Matemática Aplicada, Computacional e Industrial, 2017)
    [ES] En este trabajo se estudia el problema del valor propio inverso para matrices normales J-hamiltonianas. En [Inverse eigenvalue problem for normal J-hamiltonian matrices, Applied Mathematics Letters, 48, 36¿40, ...
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    Properties of a matrix group associated to a {K,s+1}-potent matrix 
    Lebtahi Ep-Kadi-Hahifi, Leila; Thome, Néstor (International Linear Algebra Society (ILAS), 2012-02)
    In a previous paper, the authors introduced and characterized a new kind of matrices called {K,s+1}-potent. In this paper, an associated group to a {K, s+1}-potent matrix is explicitly constructed and its properties are ...
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    Relations between {K, s + 1}-potent matrices and different classes of complexmatrices 
    Lebtahi Ep-Kadi-Hahifi, Leila; Romero Martínez, José Oscar; Thome, Néstor (Elsevier, 2013)
    In this paper, {K, s + 1}-potent matrices are considered. A matrix A in C{nxn} is called {K, s + 1}-potent when KA^(s+1)K = A where K is an involutory matrix and s in {1, 2, 3, . . .}. Specifically, {K, s + 1}-potent ...
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    Sobre las soluciones del problema del valor propio inverso para matrices J-hamiltonianas 
    Gigola, Silvia Viviana; Lebtahi Ep-Kadi-Hahifi, Leila; Thome, Néstor (Asociación Argentina de Matemática Aplicada, Computacional e Industrial, 2015)
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    Spectral study of {R, s + 1, k}- and {R, s + 1, k, *}-potent matrices 
    Catral, M.; Lebtahi, L.; Stuart, J.; Thome, Néstor (Elsevier, 2020-08-01)
    [EN] The {R, s +1, k}- and {R, s +1, k, *}-potent matrices have been studied in several recent papers. We continue these investigations from a spectral point of view. Specifically, a spectral study of {R, s + 1, k} -potent ...
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    The diamond partial order in rings 
    Lebtahi Ep-Kadi-Hahifi, Leila; Patricio, Pedro; Thome, Néstor (Taylor & Francis: STM, Behavioural Science and Public Health Titles, 2014)
    In this paper we introduce a new partial order on a ring, namely the diamond partial order. This order is an extension of a partial order defined in a matrix setting in [J.K. Baksalary and J. Hauke, A further algebraic ...
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    The inverse eigenvalue problem for a Hermitian reflexive matrix and the optimization problem 
    Gigola, Silvia Viviana; Lebtahi Ep-Kadi-Hahifi, Leila; Thome, Néstor (Elsevier, 2016-01-01)
    The inverse eigenvalue problem and the associated optimal approximation problem for Hermitian reflexive matrices with respect to a normal {k+1}-potent matrix are considered. First, we study the existence of the solutions ...
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    The special elements in a ring related to the Drazin inverses 
    Lebtahi Ep-Kadi-Hahifi, Leila; Patrício, Pedro; Thome, Néstor (Taylor & Francis: STM, Behavioural Science and Public Health Titles, 2013)
    In this article, the existence of the Drazin (group) inverse of an element a in a ring is analysed when amk ¼ kan , for some unit k and m, n 2 N. The same problem is studied for the case when a* ¼ kamk1 and for the {k, ...