An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications

查看全文 作　　者：WANG [1]QingWen;van der WOUDE J. [2]W.;YU [3]ShaoWen

机构地区：[1]Department of Mathematics, Shanghai University, Shanghai 200444, China;[2]Faculty of Electrical Engineering, Mathematics and Computer Science,Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands;[3]Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China

出　　处：《Science China Mathematics》索引2011年第54卷第5期,共18页

基　　金：supported by National Natural Science Foundation of China (GrantNo. 60672160);the Ph.D. Programs Foundation of Ministry of Education of China (Grant No. 20093108110001);the Scientific Research Innovation Foundation of Shanghai Municipal Education Commission (Grant No. 09YZ13);the Netherlands Organization for Scientific Research (NWO);Singapore MoE Tier 1 Research Grant RG60/07;Shanghai Leading Academic Discipline Project (Grant No. J50101) 摘　　要：We in this paper give a decomposition concerning the general matrix triplet over an arbitrary divisionring F with the same row or column numbers. We also design a practical algorithm for the decomposition of thematrix triplet. As applications, we present necessary and suficient conditions for the existence of the generalsolutions to the system of matrix equations DXA = C1, EXB = C2, F XC = C3 and the matrix equation AXD + BY E + CZF = Gover F. We give the expressions of the general solutions to the system and the matrix equation when thesolvability conditions are satisfied. Moreover, we present numerical examples to illustrate the results of thispaper. We also mention the other applications of the equivalence canonical form, for instance, for the compressionof color images. 关键词：矩阵方程应用程序规范形式等价除环三重分解彩色图像表达式

相关文献

参考文献（42）
引证文献（4）
耦合文献（8）

参考文献(42)

引证文献(4)

耦合文献(8)

互联网出版许可证新出网证(渝)字10号全国400电话 - 免长途话费

An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications

参考文献(42)

引证文献(4)

耦合文献(8)

用户提示