THE GENERALIZED MOORE-PENROSE INVERSE OF MATRICES OVER RINGS
Zhijian Wang
Abstract
Zhijian Wang
Abstract
The generalized Moore-Penrose inverse of matrices over rings is studied. A necessary and sufficient condition for the existence and the expression of the generulized Moore- Penrose inverse are given by using the inclusion of low and column space of the matrices. Some known results in literature in this direction are extended.
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The generalized Moore-Penrose inverse of matrices over rings is studied. A necessary and sufficient condition for the existence and the expression of the generulized Moore- Penrose inverse are given by using the inclusion of low and column space of the matrices. Some known results in literature in this direction are extended.
Key concepts: Mathematics, Inverse, Moore–Penrose pseudoinverse, Generalized inverse, Pure mathematics, Space (punctuation), Geometry, Linguistics