- -

Listar por palabra clave "Generalized inverses"

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Listar por palabra clave "Generalized inverses"

Ordenar por:Orden:Resultados:

  • thumb
    A short proof of a matrix decomposition with applications 
    Benítez López, Julio; Liu, Xiaoji (Elsevier, 2013-02-01)
    We give a very short proof of the main result of J. Benitez, A new decomposition for square matrices, Electron. J. Linear Algebra 20 (2010) 207-225. Also, we present some consequences of this result. (C) 2012 Elsevier Inc. ...
  • thumb
    A weak group inverse for rectangular matrices 
    Ferreyra, David Eduardo; Orquera, V.; Thome, Néstor (Springer-Verlag, 2019-10)
    [EN] In this paper, we extend the notion of weak group inverse to rectangular matrices (called WweightedWGinverse) by using the weighted core EP inverse recently investigated. This new generalized inverse also generalizes ...
  • thumb
    Expressions for generalized inverses of square matrices 
    Benítez López, Julio; Liu, X. (Taylor & Francis, 2013)
    We find expressions for many types of generalized inverses of an arbitrary square complex matrix by using two representations given in [Benítez J. A new decomposition for square matrices. Electron. J. Linear Algebra. ...
  • thumb
    From projectors to 1MP and MP1 generalized inverses and their induced partial orders 
    Hernández, M. V.; Lattanzi, M. B.; Thome, Néstor (Springer-Verlag, 2021-07)
    [EN] This paper deals with new generalized inverses of rectangular complex matrices, namely 1MP and MP1-inverses. They are constructed from oblique projectors represented by means of inner generalized inverses, by using ...
  • Icon
    Invertibility in rings of the commutator ab-ba, where aba=a and bab=b 
    Benítez López, Julio; Liu, Xiaoji; Rakocevic, Vladimir (Taylor & Francis, 2012)
    Let R be a ring and a, b is an element of R satisfy aba = a and bab = b. We characterize when ab - ba is invertible. This study is specialized when R has an involution and when b is the Moore-Penrose inverse of a.
  • thumb
    Maximal classes of matrices determining generalized inverses 
    Ferreyra, David Eduardo; Levis, Fabian; Thome, Néstor (Elsevier, 2018-09-15)
    [EN] This paper derives some further results on recent generalized inverses studied in the literature, namely core EP, DMP, and CMP inverses. Our main aim is to develop maximal classes of matrices for which their representations ...
  • thumb
    Nonnegative singular control systems using the Drazin projector 
    Herrero Debón, Alicia; Thome Coppo, Néstor Javier (Elsevier, 2013-07)
    In this work we study conditions for guaranteeing the nonnegativity of a discrete-time singular control system. A first approach can be found in the literature for general systems, using the whole coefficient matrices. ...
  • thumb
    On a revisited Moore-Penrose inverse of a linear operator on Hilbert spaces 
    Malik, Saroj B.; Thome, Néstor (National Library of Serbia, 2017)
    [EN] For two given Hilbert spaces H and K and a given bounded linear operator A is an element of L(H, K) having closed range, it is well known that the Moore-Penrose inverse of A is a reflexive g-inverse G is an element ...
  • thumb
    On the continuity of the group inverse 
    Benítez López, Julio; LIU, XIAOJI (2012)
    [EN] Let {Am} ¿ m=1 be a sequence of complex group invertible matrices that converges to A. We characterize when A is group invertible and {A # m} ¿ m=1 converges to A # in terms of the canonical angles between ...
  • thumb
    On the minus partial order in control systems 
    Coll, Carmen; Herrero Debón, Alicia; Sánchez, Elena; Thome, Néstor (Elsevier, 2020-12-01)
    [EN] In this paper, the minus matrix partial order is considered to introduce the concept of minus partial ordered control systems. The transmission of the reachability property under this binary relation is investigated. ...
  • thumb
    Parametrized solutions X of the system AXA = AEA and A^k EAX = XAEA^k for a matrix A having index k 
    Ferreyra, David Eduardo; Latanzi, Marina; Levis, Fabian; Thome, Néstor (University of Wyoming Libraries, 2019-11)
    [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 ...
  • thumb
    Revisiting the core EP inverse and its extension to rectangular matrices 
    Ferreyra, David Eduardo; Levis, Fabian; Thome, Néstor (Informa UK (National Inquiry Services Center), 2018)
    [EN] In this paper, we revise the core EP inverse of a square matrix introduced by Prasad and Mohana in [12], Core EP inverse, Linear and Multilinear Algebra62(3) (2014), 792-802. Firstly, we give a new representation and ...
  • thumb
    Sharp partial order and linear autonomous systems 
    Herrero Debón, Alicia; Thome, Néstor (Elsevier, 2020-02-01)
    [EN] This paper deals with autonomous linear systems and the sharp partial order. Given an autonomous linear system, we find another system, which is related to the first one by means of the sharp partial order. This ...
  • thumb
    Simultaneous decomposition of two EP matrices with applications 
    Benítez López, Julio; Liu, Xiaoji (ILAS–the International Linear Algebra Society, 2014-06)
    [EN] We find a simple canonical form for EP complex matrices A and B under simultaneous unitary equivalence.
  • thumb
    Sobre la inversa generalizada core y algunos resultados relacionados 
    Orquera, Valentina (Universitat Politècnica de València, 2019-10-25)
    [ES] El Análisis Matricial constituye un área muy importante de la Matemática Aplicada y es una herramienta fundamental para el desarrollo de muchas aplicaciones de distintas ramas de la ciencia y la tecnología. Algunos ...
  • thumb
    The absorption laws for the generalized inverses in rings 
    Hongwei, J.; Benítez López, Julio (ILAS–the International Linear Algebra Society, 2015-12)
    In this paper, it is given equivalent conditions for the absorption laws in terms of the Moore-Penrose, group, core inverse, core inverse dual, {1}, {1,2}, {1,3}, and {1,4} inverses in rings. The results given here extend ...
  • thumb
    The generalized inverses of tensors and an application to linear models 
    Jin, Hongwei; Bai, Minru; Benítez López, Julio; Liu, Xiaoji (Elsevier, 2017)
    [EN] In this paper, we recall and extend some tensor operations. Then, the generalized inverse of tensors is established by using tensor equations. Moreover, we investigate the leastsquares solutions of tensor equations. ...
  • thumb
    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 ...
  • thumb
    The weak core inverse 
    Ferreyra, D. E.; Levis, F. E.; Priori, A. N.; Thome, Néstor (Springer-Verlag, 2021-04)
    [EN] In this paper, we introduce a new generalized inverse, called weak core inverse (or, in short, WC inverse) of a complex square matrix. This new inverse extends the notion of the core inverse defined by Baksalary and ...