A new iterative method for many eigenpair partial derivatives

A new iterative method is proposed for computing partial derivatives of many eigenpairs. This method simultaneously computes a few eigenpair partial derivatives. For each origin shift, partial derivatives of eigenpairs whose eigenvalues are closest to the origin shift can be computed. Hence, this me...

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Bibliographic Details
Published in:Applied mathematics and computation 2010-11, Vol.217 (5), p.1991-1996
Main Authors: Ma, Zhongyan, Xie, Huiqing, Hu, Yaping
Format: Article
Language:English
Subjects:
Computation
Convergence
Derivatives
Eigenvalues
Exact sciences and technology
Iterative method
Iterative methods
Mathematical analysis
Mathematical models
Mathematics
Nonlinear algebraic and transcendental equations
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Origins
Partial derivatives of eigenpairs
Sciences and techniques of general use
Standard eigenvalue problems
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Summary:A new iterative method is proposed for computing partial derivatives of many eigenpairs. This method simultaneously computes a few eigenpair partial derivatives. For each origin shift, partial derivatives of eigenpairs whose eigenvalues are closest to the origin shift can be computed. Hence, this method may be used for partial derivatives of all eigenpairs. Convergence of the proposed method is established. Finally numerical experiments are given to show the effectiveness of the proposed method.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2010.06.057