Group Inverse of 2 &#215 2 Block Matrices over Minkowski Space M
نویسندگان
چکیده
منابع مشابه
m-Projections involving Minkowski inverse and range symmetric property in Minkowski space
In this paper we study the impact of Minkowski metric matrix on a projection in the Minkowski Space M along with their basic algebraic and geometric properties.The relation between the m-projections and the Minkowski inverse of a matrix A in the minkowski space M is derived. In the remaining portion commutativity of Minkowski inverse in Minkowski Space M is analyzed in terms of m-projections as...
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This paper presents a full rank factorization of a 2 × 2 block matrix without any restriction concerning the group inverse. Applying this factorization, we obtain an explicit representation of the group inverse in terms of four individual blocks of the partitioned matrix without certain restriction. We also derive some important coincidence theorems, including the expressions of the group inver...
متن کاملm-projections involving minkowski inverse and range symmetric property in minkowski space
in this paper we study the impact of minkowski metric matrix on a projection in theminkowski space m along with their basic algebraic and geometric properties.the relationbetween the m-projections and the minkowski inverse of a matrix a in the minkowski spacemis derived. in the remaining portion commutativity of minkowski inverse in minkowski spacem is analyzed in terms of m-projections as an a...
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Several representations of the generalized Drazin inverse of an anti-triangular block matrix in Banach algebra are given in terms of the generalized Banachiewicz--Schur form.
متن کاملA note on the representation for the Drazin inverse of 2× 2 block matrices
In this note the representations of the Drazin inverse of a 2×2 block matrix M = [ A B C D ] , where A and D are square matrices, have been recently developed under some assumptions. We derive formulae for the Drazin inverse of a block matrix M under conditions weaker than those in the papers [9], [11], [12] and [14]. 2000 Mathematics Subject Classification: 15A09
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ژورنال
عنوان ژورنال: Advances in Linear Algebra & Matrix Theory
سال: 2016
ISSN: 2165-333X,2165-3348
DOI: 10.4236/alamt.2016.63009