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Modified Lagrangian and Least Root Approaches for General Nonlinear Optimization Problems 被引量:1

Modified Lagrangian and Least Root Approaches for General Nonlinear Optimization Problems
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摘要 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. 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.
作者 W.Oettli
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2002年第1期147-152,共6页 应用数学学报(英文版)
关键词 Generalized Lagrangian Zero duality gap least root approach Generalized Lagrangian, Zero duality gap, least root approach
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参考文献2

  • 1C. J. Goh,X. Q. Yang.Nonlinear Lagrangian Theory for Nonconvex Optimization[J].Journal of Optimization Theory and Applications.2001(1)
  • 2X.Q. Yang,D. Li.Successive Optimization Method via Parametric Monotone Composition Formulation*[J].Journal of Global Optimization.2000(4)

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