关于Hermitian矩阵序关系的一些注记  

Some Remarks on Hermitian Matrices with Ordered Relation

作　　者：翟成波[1] 金志香 ZHAI Chengbo;JIN Zhixiang(School of Mathematical Sciences,Shanxi University,Taiyuan,030006,China)

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《山西大学学报（自然科学版）》2021年第5期876-878,共3页Journal of Shanxi University(Natural Science Edition)

基　　金：山西省自然科学基金(201901D111020)。

摘　　要：非线性矩阵方程的Hermitian正定解存在性已经被许多学者广泛的研究。文章讨论了文献中关于半序Ban‐ach空间Hermitian矩阵序关系,对于半序不等式给出了一些注记,并举例验证理论结果。The existence of Hermitian positive definite solutions for nonlinear matrix equations was widely investigated by many scholars.We discuss Hermitian matrices with ordered relation in an ordered Banach space in some papers and get some remarks on ordered inequalities.Moreover,a numerical example is given to verify our results.

关 键 词：Hermitian正定解 非线性矩阵方程 半序关系 

分 类 号：O175[理学—数学]