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Superlinear convergence rates for the Lanczos method applied to elliptic operators

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Summary.

This paper investigates the convergence of the Lanczos method for computing the smallest eigenpair of a selfadjoint elliptic differential operator via inverse iteration (without shifts). Superlinear convergence rates are established, and their sharpness is investigated for a simple model problem. These results are illustrated numerically for a more difficult problem.

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  1. Fachbereich Mathematik, Universität Kaiserslautern, D-67653 Kaiserslautern, Germany , , , , , , DE

    Martin Hanke

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  1. Martin Hanke
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Received March 8, 1996

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Hanke, M. Superlinear convergence rates for the Lanczos method applied to elliptic operators. Numer. Math. 77, 487–499 (1997). https://doi.org/10.1007/s002110050297

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  • DOI: https://doi.org/10.1007/s002110050297

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