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Spectral Refinements of Newton Type for Eigenelements of Bounded Linear Operators

✍ Scribed by Rafikul Alam

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 162 KB
Volume: 241
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1999.6639

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✦ Synopsis

A theoretical framework is developed for constructing spectral refinement schemes for a simple eigenelement which achieve arbitrarily high rates of convergence while keeping the computational cost at a minimum. The new approach is illustrated by considering a Newton type iteration scheme. Numerical results are given by considering a model problem.

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