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Browsing by Subject "Moore-Penrose inverse"

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Browsing by Subject "Moore-Penrose inverse"

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    Co-EP Banach algebra elements 
    Benítez López, Julio; Boasso, E.; Rakocevic, V. (Tusi Mathematical Research Group, 2015)
    [EN] In this work, given a unital Banach algebra A and a \in A such that a has a Moore-Penrose inverse a^+, it will be characterized when a^+ a - a a^+ is invertible. A particular subset of this class of objects wil also ...
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    Further results on the reverse order law for the group inverse in rings 
    Liu, Xiaoji; Zhang, Miao; Benítez López, Julio (Elsevier, 2014-02-25)
    In this paper, we use the Drazin inverse to derive some new equivalences of the reverse order law for the group inverse in unitary rings. Moreover, if the ring has an involution, we present more equivalences when both ...
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    Inequalities and equalities for l = 2 (Sylvester), l = 3 (Frobenius), and l > 3 matrices 
    Thome, Néstor (Springer Verlag (Germany), 2016-10)
    This paper gives simple proofs of Sylvester (` = 2) and Frobenius (` = 3) inequalities. Moreover, a new sufficient condition for the equality of the Frobenius inequality is provided. In addition, an extension for ` > 3 ...
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    On a new generalized inverse for matrices of an arbitrary index 
    Malik, Saroj B.; Thome, Néstor (Elsevier, 2014-01-01)
    [EN] The purpose of this paper is to introduce a new generalized inverse, called DMP inverse, associated with a square complex matrix using its Drazin and Moore-Penrose inverses. DMP inverse extends the notion of core ...
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    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 ...
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    Projections for generalized inverses 
    Xu, Sanzhang; Chen, Chianlong; Benítez López, Julio (Taylor & Francis, 2018)
    [EN] Let R be a unital ring with involution. In Section 2, for given two core invertible elements a, b. R, we investigate mainly the absorption law for the core inverse in virtue of the equality of the projections aa and ...
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    The class of m-EP and m-normal matrices 
    Malik, Saroj B.; Rueda, Laura; Thome, Néstor (Taylor & Francis, 2016-11)
    The well-known classes of EP matrices and normal matrices are de- fined by the matrices that commute with their Moore-Penrose inverse and with their conjugate transpose, respectively. This paper investigates the class ...
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    The inverse along an element in rings 
    Benítez López, Julio; Boasso, Enrico (University of Wyoming Libraries, 2016)
    [EN] Several properties of the inverse along an element are studied in the context of unitary rings. New characterizations of the existence of this inverse are proved. Moreover, the set of all invertible elements along a ...
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    The star partial order and the eigenprojection at 0 on EP matrices 
    Hernández, Araceli Elisabet; Lattanzi, Marina Beatriz; Thome, Néstor; Urquiza, Fabián (Elsevier, 2012-07-01)
    [EN] The space of n x n complex matrices with the star partial order is considered in the first part of this paper. The class of EP matrices is analyzed and several properties related to this order are given. In addition, ...