Abstract
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Rakhmanov's theorem establishes a result about the asymptotic behavior of the elements of the Jacobi matrix associated with a measure which is defined on the interval I = [-1,1]. In this work we give a weak version of this theorem, for a measure with support on a connected finite union of Jordan arcs on the complex plane, in terms of the Hessenberg matrix, the natural generalization of the tridiagonal Jacobi matrix to the complex plane. | |
International
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Si |
Congress
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International Conference on Computational and Mathematical Methods in Science and Engineering |
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960 |
Place
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Almeria, Spain |
Reviewers
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Si |
ISBN/ISSN
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978-84-613-5510-5 |
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Start Date
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26/06/2010 |
End Date
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30/06/2010 |
From page
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491 |
To page
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501 |
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Proceedings of the 2010 International Conference on Computational and Mathematical Methods in Science and Engineering |