EI、Scopus 收录
中文核心期刊
章永强, 王文亮. 广义特征值问题中重特征值的特征向量导数[J]. 力学学报, 1994, 26(1): 81-89. DOI:10.6052/0459-1879-1994-1-1995-524
引用本文: 章永强, 王文亮. 广义特征值问题中重特征值的特征向量导数[J]. 力学学报, 1994, 26(1): 81-89.DOI:10.6052/0459-1879-1994-1-1995-524
EIGENVECTOR DERIVATIVES OF GENERALIZED NONDEFECTIVE EIGENPROBLEMS WITH REPEATED EIGENVALUES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1994, 26(1): 81-89. DOI:10.6052/0459-1879-1994-1-1995-524
Citation: EIGENVECTOR DERIVATIVES OF GENERALIZED NONDEFECTIVE EIGENPROBLEMS WITH REPEATED EIGENVALUES[J].Chinese Journal of Theoretical and Applied Mechanics, 1994, 26(1): 81-89.DOI:10.6052/0459-1879-1994-1-1995-524

广义特征值问题中重特征值的特征向量导数

EIGENVECTOR DERIVATIVES OF GENERALIZED NONDEFECTIVE EIGENPROBLEMS WITH REPEATED EIGENVALUES

  • 摘要:本文把重特征值的特征向量导数的计算方法,推广到非亏损矩阵的广义特征值问题,并给出了特征值导数也有重根时特征向量导数的计算式。本方法的优点是只需已知所考虑的重特征值的特征向量,因而计算量小,对于大型复杂结构更为适用。

    Abstract:This p ap er present s a met ho d for comput ation of t he eigenvalue andeigenvector derivat ives a8so c iated with repeat ed eigenvalues of the generalized nondefectiveeigenproblem,This met ho d requires the knowledge of only t hose eigenvectors to be dif-ferentiated.A complete set of formulations has been presented covering the case wheresome groups of repeated first eigenvalue derivatives occur.A numerical exaniple is given todemonstrate t he effect iveness of the prop osed met ho d.

/

    返回文章
    返回
      Baidu
      map