2011Journal of Science of Teachers' College and UniversityRequires access

Research on group inverse for a class of block matrices over skew fields

LI Jia-mei

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Abstract

Gave a existence condation and the explicit representation for the group inverse of the sum of two matrices.Using that new result,the existence and the explicit representation of the group inverse of block matrices XA+YB B A D was given,where A,B,X,Y∈Kn×n,A#,D# exist.

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What this paper is about

Gave a existence condation and the explicit representation for the group inverse of the sum of two matrices.Using that new result,the existence and the explicit representation of the group inverse of block matrices XA+YB B A D was given,where A,B,X,Y∈Kn×n,A#,D# exist.

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Available abstract

Gave a existence condation and the explicit representation for the group inverse of the sum of two matrices.Using that new result,the existence and the explicit representation of the group inverse of block matrices XA+YB B A D was given,where A,B,X,Y∈Kn×n,A#,D# exist.

Key concepts: Skew, Inverse, Group (periodic table), Mathematics, Block (permutation group theory), Combinatorics, Representation (politics), Class (philosophy)

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