2006•College MathematicsRequires access

On the Weighted Generalized Inverse of Matrices over Regular Rings

Xiaoji Liu

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Abstract

The new weighted generalized inverse of matrix over regular rings is studied.A necessary and sufficient condition for existence and an explicit expression of the weighted generalized inverse are given.Some known results on literature in this direction are extended.

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What this paper is about

The new weighted generalized inverse of matrix over regular rings is studied.A necessary and sufficient condition for existence and an explicit expression of the weighted generalized inverse are given.Some known results on literature in this direction are extended.

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Available abstract

The new weighted generalized inverse of matrix over regular rings is studied.A necessary and sufficient condition for existence and an explicit expression of the weighted generalized inverse are given.Some known results on literature in this direction are extended.

Key concepts: Mathematics, Inverse, Generalized inverse, Matrix (chemical analysis), Drazin inverse, Pure mathematics, Expression (computer science), Inverse element

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