Results 11 to 20 of about 59,362 (243)

Some results on partial ordering and reverse order law of elements of C∗-algebras

Journal of Mathematical Analysis and Applications, 2010
In this paper we establish some results relating star, left-star, right-star, minus ordering and the reverse order law under certain conditions on Moore–Penrose invertible elements of C ...
Benítez, Julio, Liu, Xiaoji, Zhong, Jin
core   +2 more sources

On the ``Reverse Order Law'' Related to the Generalized Inverse of Matrix Products

Journal of the ACM, 1966
The “reverse order law” related to ordinary inverses of matrix products, i.e., ( AB ) -1 = B -1 A -1 , is generally not transferable ...
Ivan Erdelyi
core   +2 more sources

Reverse order law for the inverse along an element [PDF]

Linear and Multilinear Algebra, 2017
In this paper, we introduce a new concept called left (right) g-MP inverse in a *-monoid. The relations of this type of generalized inverse with left inverse along an element are investigated.
Patrício, Pedro, Jianlong Chen, Huihui Zhu   +2 more
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The Reverse Order Law and the Riccati Equation

We give a full analytic solution to a particular case of the algebraic Riccati equation $XWW^*WX=W^*$ for any matrix $W$ (possibly non-square or non-symmetric) in using the Schur method, terms of the SVD decomposition of $W$.
Kędzierski, Oskar
core   +2 more sources

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 laws in C∗-algebras

Linear Algebra and its Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cvetković-Ilić, Dragana S., Harte, Robin   +1 more
openaire   +1 more source

Reverse order laws in rings with involution

Rocky Mountain Journal of Mathematics, 2014
In a ring with involution, \(a^\#\) stands for the group inverse, and \(a^\dagger\) for the Moore-Penrose inverse of \(a\). Various equivalent conditions to each of a number reverse order laws are presented. Among these laws are \((ab)^\#=b^\#(a^\dagger abb^\#)^\#a^\dagger\), \((ab)^\#=b^*(a^\#abb^*)^\#a^\#\), \((ab)^\#=b^\dagger a^\#\), \(b^\#(a^*abb^\
Mosić, Dijana, Djordjević, Dragan S.
openaire   +3 more sources

Developing Reverse Order Law for the Moore–Penrose Inverse with the Product of Three Linear Operators

, 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
core   +1 more source

Reverse-order law for the Moore–Penrose inverses of tensors [PDF]

Linear and Multilinear Algebra, 2018
Reverse order law for the Moore-Penrose inverses of tensors are useful in the field of multilinear algebra. In this paper, we first prove some more identities involving the Moore-Penrose inverse of tensors. We then obtain a few necessary and sufficient conditions for the reverse order law for the Moore-Penrose inverse of tensors via the Einstein ...
Krushnachandra Panigrahy, Ratikanta Behera, Debasisha Mishra   +2 more
openaire   +2 more sources

Reverse order laws for the weighted generalized inverses

Applied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jovana Nikolov, Dragana S. Cvetkovic-Ilic   +1 more
openaire   +2 more sources