AN ULM-LIKE CAYLEY TRANSFORM METHOD FOR INVERSE EIGENVALUE PROBLEMS
نویسندگان
چکیده
منابع مشابه
An Ulm-like Cayley Transform Method for Inverse Eigenvalue Problems
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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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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Article history: Received 17 March 2010 Received in revised form 14 August 2010 Accepted 2 November 2010 Available online 4 November 2010
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In this paper, a Ulm-like method is proposed for solving inverse singular value problems. This method has an advantage over Newton’s methods since it avoids solving approximate Jacobian equations. Under some mild assumptions, we show that the proposed method converges at least quadratically in the root sense. Our numerical tests, based on comparison with the inexact Newton method given by Bai a...
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A Ulm-like method is proposed in [13] for solving inverse eigenvalue problems with distinct given eigenvalues. The Ulm-like method avoids solving the Jacobian equations used in Newton-like methods and is shown to be quadratically convergent in the root sense. However, the numerical experiments in [3] only show that the Ulm-like method is comparable to the inexact Newton-like method. In this sho...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2012
ISSN: 1027-5487
DOI: 10.11650/twjm/1500406546