二次型的条件正定与条件负定新判据

Conditional positive detinite and conditional negative definite of quadratic form

对二次型的正定性研究已取得丰硕成果，并为众多科学所应用．随着应用问题的研究，会遇到二次型在条件下的正定、负定问题，在文献［１］的基础上给出了二次型在某种条件下正定、负定性判别的新定理及推论。

In the paper, we give the determination theorems and inferences about the positive and negative definite of quadratic form in some conditions base on literature[1], and thus extend the positive definite nature of quadratic form.