A Ulm-like method for inverse eigenvalue problems

We propose a Ulm-like method for solving inverse eigenvalue problems, which avoids solving approximate Jacobian equations comparing with other known methods. A convergence analysis of this method is provided and the R-quadratic convergence property is proved under the assumption of the distinction o...

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Bibliographic Details
Published in:Applied numerical mathematics 2011-03, Vol.61 (3), p.356-367
Main Authors: Shen, W.P., Li, C., Jin, X.Q.
Format: Article
Language:English
Subjects:
Approximation
Convergence
Eigenvalues
Exact sciences and technology
Global analysis, analysis on manifolds
Inexact Newton-like method
Inverse
Inverse eigenvalue problem
Jacobians
Mathematical analysis
Mathematical models
Mathematics
Newton methods
Nonlinear algebraic and transcendental equations
Nonlinear equation
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Ulm-like method
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Summary:We propose a Ulm-like method for solving inverse eigenvalue problems, which avoids solving approximate Jacobian equations comparing with other known methods. A convergence analysis of this method is provided and the R-quadratic convergence property is proved under the assumption of the distinction of given eigenvalues. Numerical experiments as well as the comparison with the inexact Newton-like method are given in the last section.
ISSN:0168-9274
1873-5460
DOI:10.1016/j.apnum.2010.11.001