Tersinir Bir Altbloğa Sahip Blok Parçalanmiş Matrislerin Grup İnversleri İçin Bazı İfadeler

Year 2018, Volume: 8 Issue: 1, 100 - 113, 15.06.2018

Selahattin Maden

Abstract

 bir kesir
cismi ve 

  de bu
kesir cismi üzerindeki

 tipindeki
tüm matrislerin kümesi olsun. Bu çalışmadaki amaç,

 tersinir
bir alt bloğa sahip blok parçalanmış bir kare matris olmak üzere, 

  (

 bir kare
matris) matrisinin grup inversinin mevcut olması için gerek ve yeter şartları
vermek ve bazı koşullar altında blok parçalanmış matrislerin grup inversi için
ifadeler elde etmektir

Keywords

Kesir cismi, Blok parçalanmış matris, Bir matrisin grup inversi, Tersinir altblok, Drazin invers

Some Expressions for the Group Inverse of the Block Partitioned Matrices with an Invertible Subblock

Abstract

 Let




















 be a skew field
and

 be the set of
all

 matrices over

  The purpose of
this paper is to give some necessary and sufficient conditions for the
existence and some expressions of the group inverse of the block matrix 

  (

 is square) under
some conditions, where 

 be a square
block matrix with an invertible subblock. 

Keywords

Skew field, Block partititoned matrix, Group Inverse of a matrix, Invertible subblock, Drazin inverse

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