Title :
Proof of a Class of Matrix Rank Identities and its Applications
Author :
Feng, Xiuhong ; Sun, Suya
Author_Institution :
Dept. of Math. & Phys., Nanjing Univ. of Inf. Sci. & Technol., Nanjing, China
Abstract :
This paper mainly discuss inequality about rank of the sum of matrix, give the condition to hold the identity in above inequality, i.e. if the rank of the sum of matrix equal to the sum of their rank, then they can be transformed synchronously into block diagonal matrix. Lastly, we give its applications for two matrices in linear algebra.
Keywords :
matrix algebra; block diagonal matrix; linear algebra; matrix rank identities; sum of matrix; Information science; Linear algebra; Linear matrix inequalities; Mathematics; Matrices; Physics computing; Statistics; Sun; Vectors; diagonal matrix; rank; the sum of matrix;
Conference_Titel :
Information and Computing (ICIC), 2010 Third International Conference on
Conference_Location :
Wuxi, Jiang Su
Print_ISBN :
978-1-4244-7081-5
Electronic_ISBN :
978-1-4244-7082-2
DOI :
10.1109/ICIC.2010.189
