A derivative-free trust-funnel method for equality-constrained nonlinear optimization

Phillipe Rodrigues Sampaio, Ph L. Toint

Research output: Contribution to journalArticlepeer-review


Abstract: A new derivative-free method is proposed for solving equality-constrained nonlinear optimization problems. This method is of the trust-funnel variety and is also based on the use of polynomial interpolation models. In addition, it uses a self-correcting geometry procedure in order to ensure that the interpolation problem is well defined in the sense that the geometry of the set of interpolation points does not differ too much from the ideal one. The algorithm is described in detail and some encouraging numerical results are presented.

Graphical Abstract: [Figure not available: see fulltext.]

Original languageEnglish
Pages (from-to)25-49
Number of pages25
JournalComputational Optimization and Applications
Issue number1
Publication statusPublished - 1 May 2015


  • Derivative-free optimization
  • Equality constraints
  • Trust funnel
  • Trust-region method


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