Predictor-Corrector and Simplicial Methods for Approximating Fixed Points and Zero Points of Nonlinear Mappings

E. L. Allgower and K. Georg
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E. L. Allgower: Colorado State University, Department of Mathematics
K. Georg: Universität Bonn, Institut für Angewandte Mathematik

A chapter in Mathematical Programming The State of the Art, 1983, pp 15-56 from Springer

Abstract: Abstract Our aim here is to provide a brief introductory overview of numerical homotopy methods for approximating a solution of a system of nonlinear equations (1) $$G(x) = 0$$ where the map G: ℝ N → ℝ N satisfies some appropriate conditions.

Keywords: Functional Differential Equation; Continuation Method; Solution Curve; Nonlinear Complementarity Problem; Nonlinear Eigenvalue Problem (search for similar items in EconPapers)
Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-68874-4_2

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DOI: 10.1007/978-3-642-68874-4_2

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