Publication: Solving nonlinear eigenvalue problems by algorithmic differentiation
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Solving nonlinear eigenvalue problems by algorithmic differentiation

- Article in a journal -
 

Author(s)
P. Arbenz , W. Gander

Published in
Computing

Year
1986

Abstract
The eigenvalues of a matrix A(λ) can be found by a zero finding method applied to the determinant function det(A(λ)). The derivatives of det(A(λ)) can be found by differentiation arithmetic. The paper presents such an algorithm. Various numerical examples are provided and timing comparisons are given.

BibTeX
@ARTICLE{
         Arbenz1986Sne,
       AUTHOR = "Arbenz, P. and Gander, W.",
       TITLE = "Solving nonlinear eigenvalue problems by algorithmic differentiation",
       JOURNAL = "Computing",
       VOLUME = "36",
       YEAR = "1986",
       PAGES = "205--215",
       KEYWORDS = "nonlinear eigenvalue problems; differentiation arithmetic; numerical results.",
       ABSTRACT = "The eigenvalues of a matrix $A(\lambda)$ can be found by a zero finding method
         applied to the determinant function $det(A(\lambda))$. The derivatives of
         $det(A(\lambda))$ can be found by differentiation arithmetic. The paper presents such an
         algorithm. Various numerical examples are provided and timing comparisons are given."
}


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