An inexact Cayley transform method for inverse eigenvalue problems
نویسندگان
چکیده
منابع مشابه
An Inexact Cayley Transform Method For Inverse Eigenvalue Problems
The Cayley transform method is a Newton-like method for solving inverse eigenvalue problems. If the problem is large, one can solve the Jacobian equation by iterative methods. However, iterative methods usually oversolve the problem in the sense that they require far more (inner) iterations than is required for the convergence of the Newton (outer) iterations. In this paper, we develop an inexa...
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We propose an Ulm-like Cayley transform 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 the given eigenvalues. Numerical experiments are given in the last section an...
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ژورنال
عنوان ژورنال: Inverse Problems
سال: 2004
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/20/5/022