摘要
运用统一的方法对实数域和复数域上的多元二次多项式的分解问题加以讨论 .首先把多元二次多项式表示为矩阵的乘积形式 ;然后给出了实 (复 )数域上多元二次多项式可分解的充要条件———存在满足一定条件的反对称实 (复 )矩阵 ,同时给出分解的方法及实例 .
This paper discussed the decomposition of Quadratic polynomial in several elements in real number field and complex number field by the use of approach which combines real number field with complex number field.First of all it formulated the Quadratic polynomial in several elements as matrix product.Then,it supplied and proved some necessary and sufficient conditions--existence of ant-symmetric real(complex) matrix meeting certain conditions and meanwhile gave the way of decomposition and an illustration.
出处
《浙江师范大学学报（自然科学版）》
CAS
2002年第2期123-126,共4页
Journal of Zhejiang Normal University:Natural Sciences
