对称矩阵对角化的正交变换模型  

Orthogonal Transformation Model in Diagonalization of Symmetric Matrices

作　　者：付立志[1] 杨庆玺[1] 

机构地区：[1]焦作大学基础系,河南焦作454003

出　　处：《河南科学》2008年第2期135-137,共3页Henan Science

摘　　要：对于对称矩阵对角化的正交变换模型进行了可行性研究,给出了相关定理的证明,以及模型法的操作原则、步骤和应用举例,使对称矩阵对角化的正交变换凸现了程序化简捷化的特点,从而回避了常规解法中求特征值要解高次方程,求特征向量要解线性方程组的繁琐过程.This paper mainly explores the transformation model of similitude in diagonalization of symmetric matrices and gives the prove of relative theories, the principles, procedures and practical operations ot model method. In this way it can simplify symmetric method in orthogonal transformation and avoid using the complicated procedures of regular method in eigenvalue to get higher equation and in eigenvector to get linear equations.

关 键 词：对称矩阵 对角化 正交变换 对称变换 对角化模型 

分 类 号：O151[理学—数学]