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A search routine for a Sperner simplex

Ein systematisches Suchprogramm für einen Fixpunkt

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Summary

A systematic search program is given for an approximate fixed point of a continuous mapping of either the unitn-cube into itself or a “preferred”n-simplex (on the unitn-cube) into itself. The coding is in FORTRAN IV.

Zusammenfassung

Es wird ein systematisches Suchprogramm angegeben für einen Fixpunkt einer stetigen Abbildung, die entweder denn-dimensionalen Einheitswürfel oder einen speziell gewähltenn-simplex in sich überführt. Das Programm ist in FORTRAN IV geschrieben.

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References

  1. Allgower, E. L., C. L. Keller, andT. E. Reeves: A Program for the Numerical Approximation of a Fixed Point of an Arbitrary Continuous Mapping of then-cube orn-simplex into Itself. ARL Technical Report, Wright-Patterson AFB, Ohio (in preparation).

  2. Kuhn, H. W.: Some Combinatorial Lemmas in Topology. IBM Journal1960, 518–524.

  3. Kuhn, H. W.: Approximate Search for Fixed Points, in Computing Methods in Optimization Problems 2, 199–211. New York: Academic Press. 1969.

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  4. Scarf, H.: The Approximation of Fixed Points of a Continuous Mapping. SIAM J. Appl. Math.15, 1328 (1967).

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Colorado State University, 80521, Fort Collins, CO, U.S.A.

    E. L. Allgower (Associate Professor)

  2. Aerospace Research Laboratories, 45433, Wright-Patterson AFB, OH, U.S.A.

    C. L. Keller (Mathematician)

Authors
  1. E. L. Allgower
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  2. C. L. Keller
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Allgower, E.L., Keller, C.L. A search routine for a Sperner simplex. Computing 8, 157–165 (1971). https://doi.org/10.1007/BF02234051

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  • DOI: https://doi.org/10.1007/BF02234051

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