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Modified Lagrangian and Least Root Approaches for General Nonlinear Optimization Problems

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Abstract

In this paper we study nonlinear Lagrangian methods for optimization problems with side constraints. Nonlinear Lagrangian dual problems are introduced and their relations with the original problem are established. Moreover, a least root approach is investigated for these optimization problems.

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Authors and Affiliations

  1. Fakultät für Mathematik und Informatik, Universität Mannheim, 68131, Mannheim, Germany

    W. Oettli

  2. Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong, China

    X. Q. Yang

Authors
  1. W. Oettli
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  2. X. Q. Yang
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Correspondence to X. Q. Yang.

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Oettli, W., Yang, X.Q. Modified Lagrangian and Least Root Approaches for General Nonlinear Optimization Problems. Acta Mathematicae Applicatae Sinica, English Series 18, 147–152 (2002). https://doi.org/10.1007/s102550200012

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  • DOI: https://doi.org/10.1007/s102550200012

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