Results 241 to 250 of about 15,638,936 (259)

The forward order laws for the core inverse

Aequationes mathematicae, 2021
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Tingting Li, Dijana Mosić, Jianlong Chen   +2 more
openaire   +4 more sources

Perturbation results and forward order law for the Moore–Penrose inverse in rings with involution

Georgian Mathematical Journal, 2022
Abstract We investigate perturbations of the Moore–Penrose inverse and forward order law for the Moore–Penrose inverse in rings with involution, and thus we extend some results of Castro–Gonzalez and Hartwig to more general settings.
Mihajlović, Nadica, Djordjević, Dragan S.   +1 more
openaire   +4 more sources

Forward order law for g-inverses of the product of two matrices

Applied Mathematics and Computation, 2007
The authors derive equivalent conditions of \(\{ A^{-} B^{-}\} \subseteq\{(AB) ^{-}\}\) by a maximal rank method, where \(A^{-}\) denotes the \(g\)-inverse or \(\{ 1\} \)-inverse of \(A\). Then, they propose equivalent conditions for the forward order law of the \(g\)-inverse of the product of two matrices i.e. \(\{ A^{-}B^{-}\} \subseteq\{( AB) ^{-}\}
Wenbin Guo, Musheng Wei, Jianli Zhao 0001   +2 more
openaire   +3 more sources

A note on the forward order law for least square g-inverse of three matrix products

Computational and Applied Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhongshan Liu, Zhiping Xiong, Yingying Qin   +2 more
openaire   +5 more sources

Forward order law for the generalized inverses of multiple matrix product

Journal of Applied Mathematics and Computing, 2007
Given a complex matrix \(A\), a \(\{1\}\)-inverse of \(A\) is a complex matrix \(G\) satisfying \(AGA=A\). The set of all such matrices \(G\) is denoted by \(A\{1\}\). The authors provide necessary and sufficient conditions for matrices \(A_1,A_2,\dots,A_n\) which guarantee that \(A_1\{1\}A_2\{1\}\cdots A_n\{1\}\subseteq (A_1 A_2 \cdots A_n)\{1\}\).
Xiong, Zhiping, Zheng, Bing
openaire   +3 more sources

A Spontaneous Order for Europe? Why Hayek’s Libertarianism is not the Right Way Forward for European Private Law

2010
It has been suggested recently by several scholars that the ideas of Friedrich von Hayek should play a prominent role in shaping the future of European private law. This paper examines what we can learn from Hayek for the further development of European contract law.
Martijn W Hesselink
openaire   +4 more sources

Reverse Order and Forward Order Laws for $$A_{T,S}^{(2)}$$

2018
The reverse order law for the generalized inverses of a matrix product yields a class of interesting fundamental problems in the theory of the generalized inverses of matrices. They have attracted considerable attention since the middle 1960s.
Guorong Wang, Yimin Wei, Sanzheng Qiao
openaire   +1 more source

REVERSE AND FORWARD ORDER LAWS OF CERTAIN INVERSES

Journal of Mathematical Analysis
Reverse and forward order laws for closed range operators such as idempotent operators, normal operators, regular operators on the Hilbert spaces are studied. Basically, these laws are established for core inverse, Moore Penrose inverse and group inverse under certain necessary and sufficient conditions noticing the entries of matrix representations of
BADAL SAHOO, PABITRA KUMAR JENA
openaire   +1 more source

On Forward-Order Law for Core Inverse in Rings

Aequationes Mathematicae, 2023
Debasisha Mishra
exaly