Results 1 to 10 of about 291 (209)
Reverse Order Law for the Core Inverse in Rings [PDF]
Mediterranean Journal of Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pedro Patricio +2 more
exaly +3 more sources
Reverse order law for the Moore–Penrose inverse
Journal of Mathematical Analysis and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dragan Djordjevic, Nebojsa C Dinčić
exaly +3 more sources
Reverse-order law for weighted Moore–Penrose inverse of tensors [PDF]
Advances in Operator Theory, 2019 15 ...
Debasisha Mishra +2 more
exaly +3 more sources
(b, c)-inverse, inverse along an element, and the Schützenberger category of a semigroup [PDF]
Categories and General Algebraic Structures with Applications, 2021 We prove that the (b, c)-inverse and the inverse along an element in a semigroup are actually genuine inverse when considered as morphisms in the Schützenberger category of a semigroup. Applications to the Reverse Order Law are given.
Xavier MARY
doaj +1 more source
Two Equal Range Operators on Hilbert $C^*$-modules [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, number of properties, involving invertibility, existence of Moore-Penrose inverse and etc for modular operators with the same ranges on Hilbert $C^*$-modules are presented.
Ali Reza Janfada, Javad Farokhi-Ostad
doaj +1 more source
F1000Research, 2022 The reverse order law for outer inverses and the Moore-Penrose inverse is discussed in the context of associative rings. A class of pairs of outer inverses that satisfy reverse order law is determined.
Manjunatha Prasad Karantha +1 more
doaj +1 more source
A Note on the Reverse Order Law for g-Inverse of Operator Product
Axioms, 2022 The generalized inverse has many important applications in aspects of the theoretical research of matrices and statistics. One of the core problems of the generalized inverse is finding the necessary and sufficient conditions of the reverse order laws ...
Yingying Qin, Zhiping Xiong
doaj +1 more source
Reverse-order law for core inverse of tensors [PDF]
Computational and Applied Mathematics, 2020 The notion of the core inverse of tensors with the Einstein product was introduced, very recently. This paper we establish some sufficient and necessary conditions for reverse-order law of this inverse. Further, we present new results related to the mixed-type reverse-order law for core inverse.
Jajati Keshari Sahoo, Ratikanta Behera
openaire +3 more sources
Reverse order law and forward order law for the (b, c)-inverse
The Electronic Journal of Linear Algebra, 2023 The reverse order law and the forward order law have been studied for various types of generalized inverses. The $(b,c)$-inverse is a generalization of some well known generalized inverses, such as the Moore-Penrose inverse, the Drazin inverse, the core inverse, etc.
Jelena Visnjic +2 more
openaire +1 more source
Journal of Mathematics, 2021 In this paper, we study the reverse order law for the Moore–Penrose inverse of the product of three bounded linear operators in Hilbert spaces. We first present some equivalent conditions for the existence of the reverse order law ABC†=C†B†A†.
Yang Qi, Liu Xiaoji, Yu Yaoming
doaj +1 more source