摘要
正定矩阵及其所对应的二次型在应用中有重要的地位本文列举了判别正定矩阵的几个充分必要条件及其等价性,这些方法中有的在应用中比较简单而方便,有的在理论研究中有较重要意义.
The positive definite matrix and the corresponding quadratic form play an important part in use.In this article,distinguishing the full essential conditions and equivalent value character in positive definite matrix will be enumerated.In these methods,some are sim- ple and convenient in use and others have important significance.
关键词
正定矩阵
LDU分解
特征值
矩阵
positive definite matrix
LDUfactorization
eigenvalues
nonsingutar matrix
pivots
