两类部分矩阵逆的填充  

Completion of inverses for two kinds of partial matrices

作　　者：张盼盼 张澜[1] ZHANG Panpan;ZHANG Lan(College of Science,Inner Mongolia University of Technology,Hohhot 010051,China)

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《内蒙古工业大学学报（自然科学版）》2024年第1期12-17,共6页Journal of Inner Mongolia University of Technology：Natural Science Edition

基　　金：内蒙古自治区自然科学基金项目(2021LHMS01004,2023LHMS01016)。

摘　　要：根据秩理论和矩阵的可逆条件,研究了两类部分矩阵逆的填充问题,证明了两类部分矩阵逆的填充问题有解的充分必要条件,并给出了解的表示,最后分别举例验证结论。The filling problems for the inverses of two classes of partial matrices are studied on the basis of rank theory and invertibility conditions for matrices.The sufficient necessary conditions for the filling problems to have solutions are proved,and the representations of the solution are given,and examples are given to verify the conclusions,respectively.

关 键 词：矩阵填充 埃尔米特矩阵 值域 核 

分 类 号：O151.21[理学—数学]