摘要
以时间作为独立变量的高阶微分方程系统，它的齐次系统的解称为矩阵多项式特征问题。本文将其伴随矩阵代数展开产生一组代数方程来确定特征值。特征向量也可相应确定。这种新方法通过利用计算机比传统的伴随矩阵方法更具优势。
When a system is described by higher differential equations with time as the independent variable, the solution for the homogeneous system is defined by a matria polynomial eigenproblem. In this paper, A method is introduced to expand the determinat algebraically to result in a scalar polynomial equation for the eigenvalues. The eigenvectors are obtained by inverse iteration. It is shown that the new method is computationally more advantageous than the conventional companion matrix method.
关键词
矩阵多项式
特征问题
算法
matrix polynomial
eigenproblems
algorithm
