负定矩阵的性质和判定  

Negative decides the matrix the determination and the related nature research

作　　者：李非[1] 

机构地区：[1]徐州财经高等职业技术学校

出　　处：《科学咨询》2016年第18期67-68,共2页

摘　　要：摘要：负定矩阵可以看成是和正定矩阵对应的概念，负定矩阵在研究代数曲面，奇点的解消中有着重要的作用。本文着重研究负定矩阵的判定定理及相关性质，通过已有的正定矩阵判定定理给出具体的负定矩阵的判定定理和简单的证明。根据已有的负定矩阵的性质并结合正定矩阵的相关性质得到一些新的性质。最后作为负定矩阵判定定理的应用给出了几个例题。Negative can be viewed as a matrix is positive definite matrixes are the concepts,Negative in the matrix algebra to the surface, the solution of the singularity as an important role.The matrix highlighted the negative of affiliated and associated nature of the theorem,Through existing positive definite matrixes are awarded theorem giving the negative of a matrix of the ruling principle, and simple. Have been negative on the basis of the nature of the matrix is positive definite matrixes and integrated nature of summarizing the new quality.The matrix as a negative ruling principle of give a few examples to the topic.

关 键 词：负定矩阵 性质 判定 顺序主子式 

分 类 号：O151.21[理学—数学]