Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1159.15006
Wang, Qing-Wen; Song, Guang-Jing; Lin, Chun-Yan
Rank equalities related to the generalized inverse $A^{(2)}_{T,S}$ with applications. (English)
[J] Appl. Math. Comput. 205, No. 1, 370-382 (2008). ISSN 0096-3003

The authors establish the rank equalities of some matrix expressions and certain block matrices related to the generalized inverse $A_{T,S}^{(2)}$. They define the block independence in the generalized inverse $A_{T,S}^{(2)}$ and derive necessary and sufficient conditions for two, three and four ordered matrices to be independent in $A_{T,S}^{(2)}$, respectively. As special cases, they present the corresponding results on the weighted Moore-Penrose inverse and the Drazin inverse. See {\it Y.-H. Liu} and {\it M.-S. Wei} [Acta Math. Sin., Engl. Ser. 23, No.~4, 723--730 (2007; Zbl 1123.15003)] and {\it Y. Wang} [SIAM J. Matrix Anal. Appl. 19, No.~2, 407--415 (1998; Zbl 0926.15003)] as some related materials.
[Mohammad Sal Moslehian (Mashhad)]

MSC 2000:: *15A09 Matrix inversion
15A18 Eigenvalues of matrices, etc.
15A03 Vector spaces

Keywords: rank; linear matrix expression; Moore-Penrose inverse; Drazin inverse; weighted Moore-Penrose inverse; block matrix

Citations: Zbl 1123.15003; Zbl 0926.15003

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]