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Macau Periodical Index (澳門期刊論文索引)
- Author
- LIU, Xin
- Title
- Two useful least square g-inverse sets' relationship with applications
- Journal Name
- 澳門科技大學學報
- Pub. Info
- Jun. 2014, Vol.8, No.1, pp. 103-107
- Link
- http://lib.must.edu.mo/sites/default/files/assets/images/Duu/must_journal_201401.pdf
- Keyword
- Least square g-inverse；Rank of matrix；Block circulant matrix
- Abstract
- Abstract : In this paper, we consider the relationship between the {A} and {PN Q} where A, N denote the least square g-inverse of A,N, respectively. We established the necessary and sufficient rank conditions for some relationships to be hold, say {A} < {PN Q}, {A} = {PN Q}. As applications, we present some close links between the least square g-inverse of A1+A2+...+Ak and the least square g-inverse of the block circulant matrix generated by A1,A2,...,Ak. Moreover, we present the representations of the least square g-inverse of a complex matrix A+Bi. Paragraph headings: 1. Introduction 2. Some useful lemmas 3. Relationships between {A} and {PN Q} 4. Useful applications 5. Conclusions