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Forward Order Law for the Reflexive Inner Inverse of Multiple Matrix Products
The generalized inverse has numerous important applications in aspects of the theoretic research of matrices and statistics. One of the core problems of generalized inverse is finding the necessary and sufficient conditions for the reverse (or the ...
Wanna Zhou, Zhiping Xiong, Yingying Qin
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Reverse order law and forward order law for the (b, c)-inverse [PDF]
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
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The Forward Order Law for Least Squareg-Inverse of Multiple Matrix Products [PDF]
The generalized inverse has many important applications in the aspects of the theoretic research of matrices and statistics. One of the core problems of the generalized inverse is finding the necessary and sufficient conditions of the forward order laws ...
Zhiping Xiong, Zhongshan Liu
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Perturbation results and the forward order law for the Moore-Penrose inverse of a product [PDF]
New expressions are given for the Moore-Penrose inverse of a product $AB$ of two complex matrices. Furthermore, an expression for $(AB)\dg - B\dg A\dg$ for the case where $A$ or $B$ is of full rank is provided. Necessary and sufficient conditions for the forward order law for the Moore-Penrose inverse of a product to hold are established.
Castro-González, Nieves +1 more
exaly +5 more sources
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Manuel Colera +2 more
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The Forward Order Law for Weighted Moore–Penrose Inverse of Multiple Matrix Products
The forward order law for generalized inverses has potential applications in numerical linear algebra, control theory, and statistics. This topic has attracted considerable attention.
Ziyang Pan, Zhiping Xiong, Yingying Qin
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The forward order laws for {1,2,3}- and {1,2,4}-inverses of a three matrix products
In this article, we study the forward order laws for {1,2,3}- and {1,2,4}-inverses of a product of three matrices by using the maximal and minimal ranks of the generalized Schur complement. The necessary and sufficient conditions for A1{1,2,3}A2{1,2,3}A3{1,2,3}? (A1A2A3){1,2,3} and A1{1,2,4}A2 {1,2,4} A3{1,2,4}?
Liu, Zhongshan, Xiong, Zhiping
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The Value Orientation of Electronic Commerce Law Based on Computer Network [PDF]
In the era of legal globalization, e-commerce platform increasingly mature environment, in order to better meet the practical requirements of e-commerce activities, in the process of e-commerce legislation, practice, should always adhere to the value ...
Qin Di, Mu Zhaonan, Yue Sijialu
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On forward-order law for core inverse in rings
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Amit Kumar, Debasisha Mishra
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Simulation Research on Application of Azimuth Electromagnetic Wave in Coal Seam Detection [PDF]
Aiming at the problems of poor detection accuracy and low efficiency on the roof and floor interface in horizontal well drilling in coal mine, the design idea of explosion-proof azimuth-while-drilling electromagnetic wave logging instrument in coal mine ...
Gang Chen +3 more
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