Journal of Global Optimization

, Volume 39, Issue 2, pp 197–219 | Cite as

A particle swarm pattern search method for bound constrained global optimization

  • A. Ismael F. VazEmail author
  • Luís N. Vicente
Original Paper


In this paper we develop, analyze, and test a new algorithm for the global minimization of a function subject to simple bounds without the use of derivatives. The underlying algorithm is a pattern search method, more specifically a coordinate search method, which guarantees convergence to stationary points from arbitrary starting points. In the optional search phase of pattern search we apply a particle swarm scheme to globally explore the possible nonconvexity of the objective function. Our extensive numerical experiments showed that the resulting algorithm is highly competitive with other global optimization methods also based on function values.


Direct search Pattern search Particle swarm Derivative free optimization Global optimization Bound constrained nonlinear optimization 

AMS Subject Classifications

90C26 90C30 90C56 


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Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.Departamento de Produção e Sistemas, Escola de EngenhariaUniversidade do MinhoBragaPortugal
  2. 2.Departamento de MatemáticaUniversidade de CoimbraCoimbraPortugal

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