摘要
利用Hermite矩阵探讨了一类矩阵方程的求解问题,获得了一些新结果,导出了矩阵方程XAX=A与X*AX=A存在Hermite矩阵解的充分必要条件及其通解表达式,削弱了杨昌兰和王龙波文中定理的条件,推广了Jameson和杨昌兰等的结果.
In this paper,the solutions of the matrix equation are discussed by employing the Hermite matrix,and some new results are gained.The necessary and sufficient conditions of having their Hermite matrix solution for the matrix equation XAX=A and X＊AX=A and the general solutions have been also obtained.In addition,the conditions in the theorem of Yang Changlan and Wang Longbo＇s paper are weakened,and the results obtained by Jameson and Yang Changlan etc.are generalized.
出处
《华中师范大学学报（自然科学版）》
CAS
北大核心
2013年第1期8-11,共4页
Journal of Central China Normal University：Natural Sciences
基金
国家自然科学基金项目(11271388)
电子商务及供应链系统重庆市重点实验室专项基金项目(2012ECSC0216)
