An explicit formula is obtained for the first-order eigenvector derivative that corresponds to the eigenvector of a repeated eigenvalue, in the case of the nonself-adjoint eigenvalue problem. This method applies to the class of nondefective problems whose first eigenvalue derivatives of the repeated eigenvalues are distinct. A singular-value decomposition approach is used to compute four requisite bases for eigenspaces, as well as to keep track of the dimensions of state variables and the conditioning of the state equations.


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    Title :

    Eigenvector derivatives of repeated eigenvalues using singular value decomposition


    Contributors:


    Publication date :

    1989-04-01



    Type of media :

    Miscellaneous


    Type of material :

    No indication


    Language :

    English




    Eigenvector derivatives of repeated eigenvalues using singular value decomposition

    LIM, KYONG B. / JUANG, JER-NAN / GHAEMMAGHAMI, PEIMAN | AIAA | 1989