实正定矩阵的若干判定方法  

Some Judgment Methods for the Real Symmetry Positive Definite Matrix

作　　者：倪凌炜[1] 

机构地区：[1]湖州师范学院理学院,浙江湖州313000

出　　处：《湖州师范学院学报》2004年第2期125-128,共4页Journal of Huzhou University

摘　　要：运用高等代数中一系列矩阵论的相关知识 ,给出了实对称正定矩阵的若干判定方法 ,对一般实矩阵正定的性质和判定作了初步的讨论和研究 。Positive symmetry matrix, a special type of real matrix, is critically important in the matrix theory .It is widely applied in different branches of mathematics and physics. The positive symmetry matrix we study in college is virtually real symmetry positive definite matrix, which is a more special type of real matrix and is more uncomplicated than the average positive symmetry matrix. On the basis of some judging methods of real symmetry positive definite matrix, this paper intends to make the first step to discuss and probe into the characteristics and judgment of positive symmetry matrix. Most of the judging methods originate from accumulation of daily practice, so they are of wideranging practical value and application value.

关 键 词：实对称正定矩阵 实正定矩阵 严格对角占优阵 HADAMARD积 

分 类 号：O151.21[理学—数学]