Convergence of sequential and asynchronous nonlinear paracontractions |
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Authors: | L Elsner I Koltracht M Neumann |
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Institution: | (1) Fakultät für Mathematik, Universität Bielefeld, Postfach 8640, W-4800 Bielefeld 1, Germany;(2) Department of Mathematics, University of Connecticut, 06269-3009 Storrs, CT, USA |
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Abstract: | Summary We establish the convergence of sequential and asynchronous iteration schemes for nonlinear paracontracting operators acting in finite dimensional spaces. Applications to the solution of linear systems of equations with convex constraints are outlined. A first generalization of one of our convergence results to an infinite pool of asymptotically paracontracting operators is also presented.Research supported in part by Sonderforschungsbereich 343 Diskrete Strukturen in der MathematikResearch supported in part by NSF Grant DMS-9007030 and by Sonderforschungsbereich 343 Diskrete Strukturen in der Mathematik, Fakultät für Mathematik at the Universität BielefeldResearch supported in part by U.S. Air Force Grant AFOSR-88-0047, by NSF Grants DMS-8901860 and DMS-9007030, and by Sonderforschungsbereich 343 Diskrete Strukturen in der Mathematik, Fakultät für Mathematik at the Universität Bielefeld |
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Keywords: | MSC 1991 65F10 |
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