DocumentCode
522889
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
Volume
3
fYear
2010
fDate
4-6 June 2010
Firstpage
25
Lastpage
28
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/ICIC.2010.189
Filename
5513911
Link To Document