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Full-rank representation of generalized inverseAT,S(2)and its application

Authors
Journal
Computers & Mathematics with Applications
0898-1221
Publisher
Elsevier
Publication Date
Volume
54
Identifiers
DOI: 10.1016/j.camwa.2007.05.011
Keywords
  • Generalized Inverse [Formula Omitted]
  • Full-Rank Factorization
  • Minor
  • Determinant
  • Determinantal Representation

Abstract

Abstract In this paper, we introduce a full-rank representation of the generalized inverse A T , S ( 2 ) of a given complex matrix A , which is based on an arbitrary full-rank decomposition of G , where G is a matrix such that R ( G ) = T and N ( G ) = S . Using this representation, we introduce the minor of the generalized inverse A T , S ( 2 ) ; as a special case of the minor, a determinantal representation of the generalized inverse A T , S ( 2 ) is obtained. As an application, we use an example to demonstrate that this representation is correct.

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