| 实方阵的行正定性 |
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| 引用本文： | 何承源,涂淑恒.实方阵的行正定性[J].四川工业学院学报,2010(5):49-50,56. |
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| 作者姓名： | 何承源 涂淑恒 |
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| 作者单位： | 西华大学数学与计算机学院,四川成都610039 |
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| 基金项目： | 西华大学重点学科“应用数学”（ZXD0910-09-1） |
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| 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。
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| 关 键 词： | 实矩阵 行正定矩阵 充要条件 性质 |
On Row-Positive-Definite Property of Real Matrix |
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| HE Cheng-yuan,TU Shu-heng.On Row-Positive-Definite Property of Real Matrix[J].Journal of Sichuan University of Science and Technology,2010(5):49-50,56. |
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| Authors: | HE Cheng-yuan TU Shu-heng |
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| Affiliation: | (School of Mathematics and Computer Engineering,Xihua University,Chengdu 610039 China) |
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| Abstract: | 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. |
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| Keywords: | real matrix row-positive-definite matrix necessary and sufficient condition property |
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