2006•Natural Science Journal of Xiangtan UniversityRequires access

Compound Matrix of Generalized Inverse A_(T,S)~(2) and Its Applications

Jinhua Zhou

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Abstract

In this paper,we establish the relationships between the generalized inverses of compound matrices and the compound matrices of generalized inverses,obtain a relationship between the volume of generalized inverses and the the volume of compound matrix of generalized inverses,and give a numerical example of the compound matrix and the volume concerning the Drazin inverse.

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What this paper is about

In this paper,we establish the relationships between the generalized inverses of compound matrices and the compound matrices of generalized inverses,obtain a relationship between the volume of generalized inverses and the the volume of compound matrix of generalized inverses,and give a numerical example of the compound matrix and the volume concerning the Drazin inverse.

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Available abstract

In this paper,we establish the relationships between the generalized inverses of compound matrices and the compound matrices of generalized inverses,obtain a relationship between the volume of generalized inverses and the the volume of compound matrix of generalized inverses,and give a numerical example of the compound matrix and the volume concerning the Drazin inverse.

Key concepts: Generalized inverse, Mathematics, Drazin inverse, Inverse, Matrix (chemical analysis), Volume (thermodynamics), Generalized linear array model, Pure mathematics

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