摘要
利用特例归纳,构造几类n阶含参数的伸展矩阵.这些伸展矩阵满足以下特点:1)带参数的任意n阶方阵;2)任意n阶伸展矩阵的行列式是确定的常数.基于相似矩阵的性质,得到几个重要构造定理,并且给出了相应的实例演算.
In this paper, the expanding matrix with n order and parameter can be constructed by inducing some examples. The expanding matrix which is constructed satisfies the following characteristics: first, the arbitrary square matrix with n order is with parameter; second, the determinant of an arbitrary square matrix with n order is a constant. Based on the property of similar matrix, several constructive theorems may be obtained. And the corresponding example is given.
出处
《数学的实践与认识》
北大核心
2017年第23期210-215,共6页
Mathematics in Practice and Theory
基金
浙江财经大学东方学院教学科研课题(2015JK33)
国家自然科学基金(11371105
11671246)
关键词
伸展矩阵
特征值
高维小波
expanding matrix
eigenvalue
high dimensional wavelet.