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Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (6): 509-514.

• 论文 • 上一篇    下一篇

FIRST-ORDER PERTURBATION SOLUTION TO THE COMPLEX EIGENVALUES

李济明, 王伟   

  1. Zhengzhou Institute of Technology, Zhengzhou
  • 收稿日期:1986-04-26 出版日期:1987-06-18 发布日期:1987-06-18

FIRST-ORDER PERTURBATION SOLUTION TO THE COMPLEX EIGENVALUES

Li Ji-ming, Wang Wei   

  1. Zhengzhou Institute of Technology, Zhengzhou
  • Received:1986-04-26 Online:1987-06-18 Published:1987-06-18

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摘要： The matrix perturbation method is extended to discrete linear nonconservative system with unsymmetrical matrices in this article. By introducing the concept of the adjoint complex eigenvector and by making use of the orthogonality relationship in the complex mode theory, the first-order perturbation solution to the complex eigenvalues is derived. Numerical example shows that this method is efficient and practicable.

关键词: permanent magnet, magnetic field distribution, analytic expression

Abstract: The matrix perturbation method is extended to discrete linear nonconservative system with unsymmetrical matrices in this article. By introducing the concept of the adjoint complex eigenvector and by making use of the orthogonality relationship in the complex mode theory, the first-order perturbation solution to the complex eigenvalues is derived. Numerical example shows that this method is efficient and practicable.

Key words: permanent magnet, magnetic field distribution, analytic expression

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