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Properties of an interior embedding for solving nonlinear optimization problems

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Abstract.

The paper presents an interior embedding of nonlinear optimization problems. This embedding satisfies a sufficient condition for the success of pathfollowing algorithms with jumps being applied to one-parametric optimization problems.¶The one-parametric problem obtained by the embedding is supposed to be regular in the sense of Jongen, Jonker and Twilt. This asumption is analyzed, and its genericity is proved in the space of the original optimization problems.

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Authors and Affiliations

  1. Humboldt-Universität zu Berlin, Inst. für Mathematik, Unter den Linden 6, D-10099, Berlin, Germany, , , , , , DE

    Walter Gómez Bofill

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  1. Walter Gómez Bofill
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Received May 20, 1997 / Revised version received October 6, 1998¶Published online May 12, 1999

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Gómez Bofill, W. Properties of an interior embedding for solving nonlinear optimization problems. Math. Program. 86, 649–659 (1999). https://doi.org/10.1007/s101070050109

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  • DOI: https://doi.org/10.1007/s101070050109