计算物理 ›› 1985, Vol. 2 ›› Issue (1): 83-90.

• 论文 • 上一篇    下一篇

矩阵偶的特征值与线性自动调节系统稳定性的计算程序

董浩喆   

  1. 中国科学院沈阳计算技术研究所
  • 收稿日期:1984-06-25 出版日期:1985-03-25 发布日期:1985-03-25

EIGENVALUES OF MATRIX PENCIL AND A PROGRAM FOR ANALYSING THE STABILITY OF LINEAR REGULATORY SYSTEMS

Dong Hao-zhe   

  1. Shenyang Institute of Computing Technology, Academia Sinica
  • Received:1984-06-25 Online:1985-03-25 Published:1985-03-25

摘要: 线性自动调节系统的稳定性分析,可以借助把问题转化为λB-A的特征值问题来解决。本文提出采用QZ算法求解特征值,并且给出实现这一算法的计算程序。它不仅能够解出特征值,而且给出将矩阵偶(A,B)变换成上三角形矩阵偶的变换矩阵。

Abstract: Since the Problem of analysing the stability of a linear regulatory system c-anbe transformeal into the problem of solving the eigenvalues of a matrix. pencil of the type λB-A, it is suggested in this paper to solve the eigenvalue problem by the QZ method A computer program is proposed, which gives not only the eige-nvalues but also the matries that transform the matrix pencil into upper triangular form.