Abstract | ||
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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. |
Year | DOI | Venue |
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2007 | 10.1016/j.camwa.2007.05.011 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
complex matrix,special case,Full-rank representation,full-rank representation,generalized inverse A,Determinant,Minor,S ( 2 ),Generalized inverse A T,Determinantal representation,determinantal representation,Full-rank factorization,arbitrary full-rank decomposition | Rank (linear algebra),Complex matrix,Matrix (mathematics),Mathematical analysis,Generalized inverse,Mathematics,Special case | Journal |
Volume | Issue | ISSN |
54 | 11-12 | Computers and Mathematics with Applications |
Citations | PageRank | References |
18 | 1.50 | 3 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
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Xingping Sheng | 1 | 65 | 6.82 |
Guo-Liang Chen | 2 | 106 | 17.84 |