Tian, Yongge (1999) Rank equalities related to generalized inverses of matrices and their applications. Masters thesis, Concordia University.
This thesis develops a general method for expressing ranks of matrix expressions that involve the Moore-Penrose inverse, the group inverse, the Drazin inverse, as well as the weighted Moore-Penrose inverse of matrices. Through this method we establish a variety of valuable rank equalities related to generalized inverses of matrices mentioned above. Using them, we characterize many matrix equalities in the theory of generalized inverses of matrices and their applications.
|Divisions:||Concordia University > Faculty of Arts and Science > Mathematics and Statistics|
|Item Type:||Thesis (Masters)|
|Pagination:||iv, 150 leaves ; 29 cm.|
|Degree Name:||Theses (M.Sc.)|
|Program:||Mathematics and Statistics|
|Thesis Supervisor(s):||Styan McGill, George P. H|
|Deposited By:||Concordia University Libraries|
|Deposited On:||27 Aug 2009 17:13|
|Last Modified:||08 Dec 2010 15:16|
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