Journal of Guangdong University of Technology ›› 2009, Vol. 26 ›› Issue (4): 11-13.

• Comprehensive Studies • Previous Articles     Next Articles

The Solution to the Sylvester Matrix Rank Equation

  

  1. Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China
  • Online:2009-12-01 Published:2009-12-01

HTML

PDF (PC)

2056

Abstract: With the matrix rank decomposition,necessary and sufficient conditions are given for the Sylvester matrix rank equation to have solutions under the constraint conditions of rank,and the general solution to the Sylvester matrix rank equation is obtained.

Key words: rank decomposition； Sylvester inequality； rank equation；

[1] 斯琴巴特尔,陈秀红,宋庆龄,张雪艳.  一类矩阵秩恒等的证明[J]. 内蒙古民族大学学报(自然科学版). 2007(04)

[2] 骈俊生.  矩阵秩的一个恒等式及其证明[J]. 大学数学. 2007(02)

[3] 邱红兵.  一类矩阵秩的恒等式[J]. 广东工业大学学报. 2007(01)

[4] 王廷明,黎伯堂.  一类矩阵秩恒等式的证明[J]. 山东大学学报(理学版). 2007(02)

[5] 李书超,蒋君,向世斌,徐树立.  一类矩阵秩的恒等式及其推广[J]. 武汉科技大学学报(自然科学版). 2004(01)

[6] 刘仲奎等[著].高等代数[M]. 高等教育出版社, 2003

[7] 姚慕生编著.高等代数学[M]. 复旦大学出版社, 1999

[8] 倪国熙编.常用矩阵理论和方法[M]. 上海科学技术出版社, 1984
No related articles found!
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © 2017 Journal of Guangdong University of Technology
Add：729 East Dongfeng RD., Guangzhou PRC. Postcode: 510090
Tel：020-37626653,020-37626139,020-37626396
Email：xbzrb@gdut.edu.cn
Supported:Beijing Magtech