Least-norm and Extremal Ranks of the Least Square Solution to the Quaternion Matrix Equation AXB = C Subject to Two Equations  

作　　者：Yubao Bao 

机构地区：[1]School of Mathematics, Shandong Normal University Jinan, Shandong 250014, China

出　　处：《Algebra Colloquium》2014年第3期449-460,共12页代数集刊（英文版）

摘　　要：In this paper, we give the expression of the least square solution of the linear quaternion matrix equation AXB = C subject to a consistent system of quaternion matrix equations D1X = F1, XE2 =F2, and derive the maximal and minimal ranks and the leastnorm of the above mentioned solution. The finding of this paper extends some known results in the literature.In this paper, we give the expression of the least square solution of the linear quaternion matrix equation AXB = C subject to a consistent system of quaternion matrix equations D1X = F1, XE2 =F2, and derive the maximal and minimal ranks and the leastnorm of the above mentioned solution. The finding of this paper extends some known results in the literature.

关 键 词：quaternion matrix equation maximal rank minimal rank least square solu-tion least-norm 

分 类 号：O151.21[理学—数学] O241.6[理学—基础数学]