体上一矩阵方程的次自共轭及斜亚半正定解  

Minor Self-conjugate and Skewpositiove Semidefinite Solutions to a Matrix Equation over Skew Fields

作　　者：王淑凰[1] 

机构地区：[1]扬州教育学院数学系,江苏扬州225002

出　　处：《扬州教育学院学报》2002年第3期8-10,共3页Journal of Yangzhou College of Education

摘　　要：给出了体上的矩阵方程 [AX =B]有次自共轭解、斜亚半正定解的充要条件及其通解表达式 .Minor self-conjugate(msc) and skewpositiove semidefinite(ssd) solutions to a matrix equation over skew fields are considered.Necessary and sufficient conditions for the existence of and the expressions for the msc solutions and the ssd solutions are obtained for the equation.

关 键 词：次自共轭矩阵 斜亚半正定矩阵 矩阵方程 体 实四元体. 

分 类 号：O151.21[理学—数学]