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A generalization of Temple's quotient for Computing Bounds on Eigenvalues

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Summary

By means of a formal generalization of Temple's quotient a simple numerical procedure is developed for finding lower bounds of eigenvalues for self-adjoint equations.

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Bibliography

  1. G. Temple,The Theory of Rayleigh's Principle as Applied to Continuous Systems, Proc. Roy. Soc. 119, (1928) 276–293.

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  2. T. Kato,On the Upper and Lower Bounds of Eigenvalues, J. Phys. Soc. Japan, 4, (1949) 334–339.

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  3. A. Weinstein,Some Numerical Results in Intermediate Problems for Eigenvalues, in Numerical Solutions of Partial Differential Equations, edited by, J. H. Bramble, Academic Press, New York, (1966) pp. 167–191.

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Authors and Affiliations

  1. University of Minnesota, Minnesota, USA

    J. A. Leavitt

Authors
  1. J. A. Leavitt
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Additional information

This work was supported, in part, by National Science Grant G. P. 24678.

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Leavitt, J.A. A generalization of Temple's quotient for Computing Bounds on Eigenvalues. Calcolo 8, 77–79 (1971). https://doi.org/10.1007/BF02575575

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  • DOI: https://doi.org/10.1007/BF02575575

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