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Error Estimates for Rayleigh–Ritz Approximations of Eigenvalues and Eigenfunctions of the Mathieu and Spheroidal Wave Equation

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Abstract

Error estimates are derived for the computation of eigenvalues and eigenvectors of infinite tridiagonal matrices by the Rayleigh–Ritz method. The results are applied to the Mathieu and spheroidal wave equation.

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  1. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, WI 53201, USA

    Hans Volkmer

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  1. Hans Volkmer
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Correspondence to Hans Volkmer.

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Volkmer, H. Error Estimates for Rayleigh–Ritz Approximations of Eigenvalues and Eigenfunctions of the Mathieu and Spheroidal Wave Equation. Constr Approx 20, 39–54 (2003). https://doi.org/10.1007/s00365-002-0527-9

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  • DOI: https://doi.org/10.1007/s00365-002-0527-9

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