Title :
Rank Equalities of Sum of Matrices over Skew Field
Author :
Wang Junqing ; Lu Jiyong
Author_Institution :
Dept. of Math., Tianjin Polytech. Univ., Tianjin, China
Abstract :
Using the relations between rank of block matrices and generalized inverse of matrices, the article obtains an rank equality of sum of matrices on skew field, and extends the rank equality of sum of idempotent matrices in complex field to skew field.
Keywords :
matrix algebra; block matrices; generalized matrix inverse; idempotent matrices; rank equality; skew field; sum of matrices; Electronic mail; Equations; Presses;
Conference_Titel :
Control, Automation and Systems Engineering (CASE), 2011 International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4577-0859-6
DOI :
10.1109/ICCASE.2011.5997583
