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Rank equalities related to generalized inverses of matrices and their applications

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Rank equalities related to generalized inverses of matrices and their applications

Tian, Yongge (1999) Rank equalities related to generalized inverses of matrices and their applications. Masters thesis, Concordia University.

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Abstract

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)
Authors:Tian, Yongge
Pagination:iv, 150 leaves ; 29 cm.
Institution:Concordia University
Degree Name:Theses (M.Sc.)
Program:Mathematics and Statistics
Date:1999
Thesis Supervisor(s):Styan McGill, George P. H
ID Code:720
Deposited By:Concordia University Libraries
Deposited On:27 Aug 2009 13:13
Last Modified:08 Dec 2010 10:16
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