Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《高校应用数学学报B辑(英文版)》 2002-01
Add to Favorite Get Latest Update

TO SOLVE MATRIX EQUATION sum (A~iXBi=c) BY THE SMITH NORMAL FORM

Huang LipingInstitute of Mathematics and Software, Xiangtan Polytechnic University, Xiangtan 411201.  
By using the Smith normal form of polynomial matrix and algebraic methods, this paper discusses the solvability for the linear matrix equation A iXB i=C over a field, and obtains the explicit formulas of general solution or unique solution.
【Fund】: the NSF of Hunan Province and the Science and Technology Development Foundation of Xiangtan Polytechnic University
【CateGory Index】: O151.2
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Co-citations】
Chinese Journal Full-text Database 6 Hits
1 LIANG Maohui (Dept.of Math.,Maoming Institute,Maoming,Guangdong,525000,P.R.China);The Centralizer of Real Quaternion Matrix[J];Journal of Guangdong Education Institute;2003-02
2 Cao WenshengInstitute of Math.,Xiangtan Polytechnic Univ.,Xiangtan 411201,China.;SOLVABILITY OF A QUATERNION MATRIX EQUATION[J];高校应用数学学报B辑(英文版);2002-04
3 Peng Zhenchun (Department of Mathematics Zhuzhou Teacher College,Zhuzhou,412007);Functions of Quaternion Matrix[J];Mathematical Theory and Application;2002-02
4 LING Si-tao1,CHENG Xue-han2,WEI Mu-sheng1,3(1.Department of Mathematics,East China Normal University,Shanghai 200241,China;2.School of Mathematics and Information,Ludong University,Yantai 264025,Shandong,China;3.Department of Mathematics,Shanghai Normal University,Scientific Computing Key Laboratory of Shanghai Universities,Shanghai 200234,China);On Hermitian solutions to general linear quaternionic matrix equations[J];Journal of Shandong University(Natural Science);2008-12
5 LI Yang ming(Dept. of Math., Guangdong College of Education, Guangzhou 510303) (Dept. of Math., Zhongshan University, Guangzhou 510275);THE GENERALIZED QUATERNION MATRIX EQUATION AX-DXB=R[J];Journal of Mathematics;2002-03
6 YIN Yue-Li (Hunan Light Industry Higher College,Changsha 410015,China);Norms of quaternion matrices and its applications[J];Journal of Xiangtan Mining Institute;2001-02
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved