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A method for computing the eigenvalues of certain integral equations

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Bibliography

  1. Kac, M.: Random walk in the presence of absorbing barriers. Annals of Mathematical Statistics20, 206–224 (1949).

    Google Scholar 

  2. Mullikin, T. W.: Estimates of critical dimensions of spherical and slab reactors. J. of Mathematical Analysis and Applications5, 184–199 (1962).

    Google Scholar 

  3. Wing, G. M.: On a method for obtaining bounds on the eigenvalues of certain integral equations. (To appear in J. of Mathematical Analysis and Applications).

  4. Bellman, R., andR. Latter: On the integral equation\(\lambda f(x) = \int\limits_0^a {K(x - y)f(y)dy.} \). Proceedings of the American Mathematical Society3, 884–891 (1952).

    Google Scholar 

  5. Courant, R., andD. Hilbert: Methods of Mathematical Physics,1. New York: Interscience 1953.

    Google Scholar 

  6. Davison, B.: Neutron Transport Theory. Oxford: Clarendon Press 1950.

    Google Scholar 

  7. Riesz, F., andB. Sz. Nagy: Functional Analysis. New York: Frederick Ungar 1955.

    Google Scholar 

  8. Francis, J. G. F.: TheQR Transformation, Part II. The Computer Journal4, 332–345 (1961).

    Google Scholar 

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Author notes

  1. G. M. Wing

    Present address: Sandia Laboratory, Albuquerque, New Mexico, USA

Authors and Affiliations

  1. Sandia Laboratory, Albuquerque, New Mexico, USA

    A. L. Roark

  2. Dept. of Applied Mathematics, University of Colorado, 80304, Boulder, Colorado, USA

    A. L. Roark & G. M. Wing

Authors
  1. A. L. Roark
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  2. G. M. Wing
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Additional information

This work was supported by the United States Atomic Energy Commission. Reproduction in whole or in part is permitted for any purpose of the U.S. Government.

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Roark, A.L., Wing, G.M. A method for computing the eigenvalues of certain integral equations. Numer. Math. 7, 159–170 (1965). https://doi.org/10.1007/BF01397689

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  • DOI: https://doi.org/10.1007/BF01397689

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