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A Filter Algorithm and Other NLP Solvers: Performance Comparative Analysis

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Recent Advances in Optimization

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 563))

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Summary

A new algorithm based on filter SQP with line search to solve nonlinear constrained optimization problems is presented. The filter replaces the merit function avoiding the penalty parameter estimation. This new concept works like an oracle estimating the trial approximation of the iterative SQP algorithm. A collection of AMPL test problems is solved by this new code as well as NPSOL and LOQO solvers. A comparative analysis is made - the filter SQP with line search presents good performance.

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References

  1. C. Audet and J.E. Dennis. A pattern search filter method for nonlinear programming without derivatives. Tech. Rep. 00-09, Dep. of Computational and Applied Mathematics, Rice University, Houston, 2000.

    Google Scholar 

  2. H.Y. Benson, F.F. Shanno, and R.J. Vanderbei. Interior-point methods for nonconvex nonlinear programming: filter methods and merit functions. Computational Optimization and Applications 23(2):257–272, 2002.

    Article  MathSciNet  Google Scholar 

  3. E.D. Dolan and J.J. Moré. Benchmarking optimization software with performance profiles, Math. Programming, Ser. A 91: 201–213, 2002.

    Article  Google Scholar 

  4. R. Fletcher and S. Leyffer. User manual for filter SQP. Numerical Analysis Report NA/181, Univ. of Dundee, 1998.

    Google Scholar 

  5. R. Fletcher R, S. Leyffer, and P.L. Toint. On the global convergence of an SLPfilter algorithm. Numerical Analysis Report NA/183, Univ. of Dundee, 1999.

    Google Scholar 

  6. R. Fletcher and S. Leyffer. Nonlinear Programming without a penalty function. Math. Programming 91: 239–270, 2002.

    Article  MathSciNet  Google Scholar 

  7. R. Fletcher, S. Leyffer, and P.L. Toint. On the global convergence of a filter-SQP algorithm. SIAM J. Optim., 13(1):44–59, 2002.

    Article  MathSciNet  Google Scholar 

  8. R. Fletcher R, N.I.M. Gould, S. Leyffer, P.L. Toint PL, and A. Wachter. Global convergence of trust-region SQP-filter algorithms for general nonlinear programming. SIAM J. Optim., 13(3): 635–659, 2002.

    Article  MathSciNet  Google Scholar 

  9. D.M. Gay. Hooking your solver to AMPL. Tech. Rep. 97-4-06, Computing Sciences Research Center, Bell Laboratories, Murray Hill, 1997.

    Google Scholar 

  10. P.E. Gill, W. Murray, M.A. Saunders, and M.H. Wright MH. User’s guide for NPSOL 5.0: a fortran package for nonlinear programming. Tech. Rep., 1998.

    Google Scholar 

  11. C.C. Gonzaga CC, E. Karas, and M. Vanti. A globally convergent filter method for nonlinear progamming. SIAM J. Optim., 14(3):646–669, 2003.

    Article  MathSciNet  Google Scholar 

  12. M. Ulbrich and S. Ulbrich. Nonmonotone trust region methods for nonlinear equality constrained optimization without a penalty function. Math. Programming 95:103–135, 2003.

    Article  MathSciNet  Google Scholar 

  13. M. Ulbrich, S. Ulbrich, and L.N. Vicente. A globally convergent primal-dual interior-point filter method for nonlinear programming. Math. Programming 100(2):379–410, 2004.

    Article  MathSciNet  Google Scholar 

  14. A. Wachter and L.T. Biegler. On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming. Tech. Rep. RC 23149, IBM T. J. Watson Research Center, Yorktown-USA, 2004.

    Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Antunes, A.S., Monteiro, M.T.T. (2006). A Filter Algorithm and Other NLP Solvers: Performance Comparative Analysis. In: Seeger, A. (eds) Recent Advances in Optimization. Lecture Notes in Economics and Mathematical Systems, vol 563. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28258-0_25

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