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Reverse Order Law for Weighted Generalized M-P Inverse of Quantale Matrix

Zuhua Liao

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Abstract

The big differences between real number field matrix and Quantale matrix are expressed by examples.The definition of weighted generalized M-P inverse of Quantale matrix is introduced.The necessary and sufficient condition that reverse order law for the existence of weighted generalized M-P inverse of Quantale matrix is obtained.

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What this paper is about

The big differences between real number field matrix and Quantale matrix are expressed by examples.The definition of weighted generalized M-P inverse of Quantale matrix is introduced.The necessary and sufficient condition that reverse order law for the existence of weighted generalized M-P inverse of Quantale matrix is obtained.

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Available abstract

The big differences between real number field matrix and Quantale matrix are expressed by examples.The definition of weighted generalized M-P inverse of Quantale matrix is introduced.The necessary and sufficient condition that reverse order law for the existence of weighted generalized M-P inverse of Quantale matrix is obtained.

Key concepts: Mathematics, Inverse, Matrix (chemical analysis), Order (exchange), Generalized inverse, Pure mathematics, Field (mathematics), Algebra over a field

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