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On Preconditioners for the Borsuk Existence Test
Author(s) -
Frommer Andreas,
Lang Bruno
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410300
Subject(s) - interval (graph theory) , mathematics , test (biology) , nonlinear system , zero (linguistics) , point (geometry) , pure mathematics , combinatorics , physics , geometry , philosophy , geology , paleontology , linguistics , quantum mechanics
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)