半正定二次型的性质及应用

The Character an the Application for Semi-definite Positive Quadratic Form

本文在正定二次型的基础上定义了半正定二次型 ,并给出了半正定二次型的一些性质及其证明 ,最后用半正定二次型的有关知识解决了一类初等数学问题———不等式证明。

In this paper,We define Semi-definite positive quadratic form by the positive definite quadratic form,and give some qualities and prooivs for Semi-definite positive quadratic form,at last use its knowledge to resolve a kind of elemnentary mathematics problem—in epuality's proof.