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On Preconditioners for the Borsuk Existence Test

  1. Andreas Frommer,
  2. Bruno Lang

Article first published online: 27 DEC 2004

DOI: 10.1002/pamm.200410300

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PAMM

PAMM

Volume 4, Issue 1, pages 638–639, December 2004

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How to Cite

Frommer, A. and Lang, B. (2004), On Preconditioners for the Borsuk Existence Test. Proc. Appl. Math. Mech., 4: 638–639. doi: 10.1002/pamm.200410300

Author Information

  1. Bergische Universität Wuppertal, Fachbereich Mathematik und Naturwissenschaften, Scientific Computing, D-42097 Wuppertal, Germany

Publication History

  1. Issue published online: 27 DEC 2004
  2. Article first published online: 27 DEC 2004

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Abstract

Existence or fixed point theorems, combined with interval analytic methods, provide a means to computationally prove the existence of a zero of a nonlinear system in a given interval vector. One such test is based on Borsuk's existence theorem. We discuss preconditioning techniques that are aimed at improving the effectiveness of this test. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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