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  CNO - Continuous Nonlinear Optimization  
 

 

   

One of the main concerns related with this project includes a theoretical analysis of convergence properties of the developed primal-dual interior point filter line search method, and the efficient handling of large-scale problems, requiring research on numerical linear algebra issues, like systems stability and fill in. The other interest is to further explore the inexact restoration technique based on a filter line search methodology. In both cases, extensive comparative tests and improvements in the resulting software will follow. Optimization problem design will be explored in other engineering areas.

 

Research Team

 

Edite M.G.P. Fernandes
M. Teresa T. Monteiro
Isabel A.C.P. Espírito Santo

 

   

Publications

 

Espírito Santo, I.A.C.P.; Fernandes, E.M.G.P.; Araújo, M.M.; Ferreira, E.C., Optimização no projecto de um processo biológico de tratamento de águas residuais, 8ª Conferência Nacional de Ambiente CD-ROM, 11 pp, Lisboa, 2004 nc=(-,-,1).

Espírito Santo, I.A.C.P.; Fernandes, E.M.G.P.; Araújo, M.M.; Ferreira, E.C., Optimization of wastewater treatment processes, XXVIII Congreso de Estadística e Investigación Operativa, ISBN: 84-689-0438-4 CD-ROM, 20 pp, Cádiz, 2004 nc=(-,-,2).

Espírito Santo, I.A.C.P.; Fernandes, E.M.G.P., Desempenho do método de Newton truncado em optimização não linear sem restrições, Investigação Operacional, V. 24 (1), 73-88, 2004 nc=(-,-,2).

Espírito Santo, I.A.C.P.; Fernandes, E.M.G.P.; Araújo, M.M.; Ferreira, E.C., NEOS Server usage in wastewater treatment cost minimization, Lecture Notes in Computer Science , V. 3483, 632-641, Springer-Verlag, 2005(IP=0.402)(CHl=4.4) nc=(-,-,3).

Espírito Santo, I.A.C.P.; Fernandes, E.M.G.P.; Araújo, M.M.; Ferreira, E.C., Biological process optimal design in a wastewater treatment plant, 6th. World Congress of Structural and Multidisciplanry Optimization, J. Herskowitz et al. (Eds.) ISBN 85-285-0070-5, 8 pp, Brazil, 2005 nc=(-,-,3).

Costa, M.F.P.; Fernandes, E.M.G.P., A SQP based on an interior-point strategy for nonlinear inequality constrained optimization problems, I Congresso de Estatística e Investigação Operacional da Galiza e Norte de Portugal/VII Congreso Galego de Estatística e Investigación de Operacións, ISBN: 972-99841-0-7, CD-ROM, 6 pp, Guimarães, 2005.

Costa, M.F.P.; Fernandes, E.M.G.P., A primal-dual interior-point algorithm for nonlinear least squares constrained problems, TOP, V. 13 (1), 145-166, 2005 (in ISI since 2006).

Espírito Santo, I.A.C.P.; Fernandes, E.M.G.P.; Araújo, M.M.; Ferreira, E.C., How wastewater processes can be optimized using LOQO. Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, V. 563, 435-455, 2005 (in ISI since 2006) nc=(-,-,5).

Costa, M.F.P.; Fernandes, E.M.G.P., An interior point filter line search approach for nonlinear programming, International Conference on Numerical Analysis and Applied Mathematics, T.E. Simos, G. Psihoyios and Ch. Tsitouras (Eds.), Wiley-VCH Verlag, 369-372, 2006.

Costa, M.F.P.; Fernandes, E.M.G.P., On the implementation of an interior point SQP filter line search algorithm, 6th. WSEAS International Conference on Simulation, Modelling and Optimization, A.M. Madureira (Ed.), ISSN: 1790-5117, ISBN: 960-8457-53-X, CD-ROM (338-343), Lisboa, 2006.

Costa, M.F.P.; Fernandes, E.M.G.P., Practical implementation of an interior point nonmonotone line search filter method, 2006 Conference on Computational and Mathematical Methods on Science and Engineering, R. Criado, D. Estep, M.A. Pérez Garcia e J. Vigo-Aguiar (Eds.), ISBN: 84-611-1090-0; 978-84-611-1090-2, Vol I (245-255), Madrid, 2006.

Costa, M.F.P.; Fernandes, E.M.G.P., Monotone and nonmonotone implementations of an interior point SQP filter line search algorithm. WSEAS Transactions on Information Science and Applications. V. 3 (12), 2315-2322, 2006 (in SCOPUS).

Costa, M.F.P.; Fernandes, E.M.G.P., Implementation of an Interior Point Multidimensional Filter Line Search Method for Constrained Optimization, 5th. WSEAS International Conference on System Science and Simulation in Engineering, M.I. Garcia-Planas e C. Gonzalez-Conception (Eds.), ISSN: 1790-5117; ISBN: 960-8457-55-2, CD-ROM (391-396), Tenerife, 2006.

Espírito Santo, I.A.C.P.; Fernandes, E.M.G.P..; Araújo, M.M.; Ferreira, E.C., Contribution of a Simple Sludge Treatment in a WWTP Optimization Procedure, 5th. WSEAS International Conference on System Science and Simulation in Engineering, M.I. Garcia-Planas e C. Gonzalez-Conception (Eds.), ISSN: 1790-5117; ISBN: 960-8457-55-2, CD-ROM (54-59), Tenerife, 2006.

Costa, M.F.P.; Fernandes, E.M.G.P., On interior point multidimensional filter line search methods for constrained optimization, WSEAS Transactions on Information Science and Applications, V. 4 (4), 641-647, 2007.

Espírito Santo, I.A.C.P.; Fernandes, E.M.G.P.; Araújo, M.M.; Ferreira, E.C., Wasted sludge treatment contributions in the WWTP total cost, WSEAS Transactions on Information Science and Applications, V. 4 (4), 655-662, 2007 (in SCOPUS).

Costa, M.F.P.; Fernandes, E.M.G.P., An interior point filter line search method: main convergence results. Numerical Analysis and Applied Mathematics, T.E. Simos, G. Psihoyios and Ch. Tsitouras (Eds.), AIP Conference Proceedings 936, 132-135, 2007.

Costa, M.F.P.; Fernandes, E.M.G.P., Performance evaluation of an interior point filter line search method for constrained optimization. 6 th. WSEAS International Conference on System Science and Simulation in Engineering, Venice, 6 pp, 2007.

Silva, C.E.P.; Monteiro ,M.T.T., forthcoming. A Filter algorithm - comparison with NLP solvers. International Journal of Computer Mathematics (IP=0.254) (CHl=6.5).

Costa, M.F.P.; Fernandes, E.M.G.P., forthcoming. Practical implementation of an interior point nonmonotone line search filter method, International Journal of Computer Mathematics. (IP=0.254) (CHl=6.5).

Silva, C.E.P.; Monteiro, M.T.T., forthcoming. A Filter Inexact-Restoration Method for Nonlinear Programming, TOP (in ISI since 2006).

 

   

Theses

 

   

Poster

     

 

 
 
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