E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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ArXiv ID:
2402.16439
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Date (published):
2-Oct-2024
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Number of Pages:
20
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Preprint Server:
arXiv
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Keywords:
Nonlinear Absolute Value Equality; Complementarity problem; P0-map; Numerical methods
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Abstract:
In this work we show that several problems naturally modeled as Nonlinear Absolute
Value Equations (NAVE), can be restated as Nonlinear Complementarity Problems (NCP) and
solved efficiently using smoothing regularizing techniques under mild assumptions. Applications
include ridge optimization and resolution of nonlinear ordinary differential equations.
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Project title:
Unilateralität und Asymmetrie in der Variationsanalyse: P 36344N (FWF - Österr. Wissenschaftsfonds)
