实方阵的行正定性  

On Row-Positive-Definite Property of Real Matrix

作　　者：何承源[1] 凃淑恒 

机构地区：[1]西华大学数学与计算机学院,四川成都610039

出　　处：《西华大学学报（自然科学版）》2010年第5期49-50,56,共3页Journal of Xihua University:Natural Science Edition

基　　金：西华大学重点学科"应用数学"(ZXD0910-09-1)

摘　　要：对实矩阵引进了行正定性的概念,研究了它的判定条件和性质,推导论证了实矩阵是行正定矩阵的几个充要条件,并探讨了三个方面的问题:行正定矩阵非奇异性、行列式不恒大于零、伴随矩阵不一定仍是行正定的。In this article,the concept of row-positive-definite matrix was introduced for the first time in real field.The authors investigate some determinant conditions and properties of this kind matrix,and obtain several necessary and sufficient conditions of a real matrix which is row-positive-definite.And other three problems are also discussed： the matrix is nonsingular,the determinant is not always greater than or equal to zero and the adjoint matrix is not row-positive-definite as well.

关 键 词：实矩阵 行正定矩阵 充要条件 性质 

分 类 号：O151.21[理学—数学]