An inexact restoration derivative-free filter method for nonlinear programming
作者： N. Echebest , M. L. Schuverdt , R. P. Vignau
DOI: 10.1007/S40314-015-0253-0
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摘要: An inexact restoration derivative-free filter method for nonlinear programming is introduced in this paper. Each iteration composed of a phase, which reduces measure infeasibility, and an optimization the objective function. The phase solved using solving underdetermined systems with bound constraints, developed previously by authors. alternative considered. Theoretical convergence results some preliminary numerical experiments are presented.
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sci-hub.se 参考文章(30)
José Mario Martinez, Elvio A. Pilotta, Inexact Restoration Methods for Nonlinear Programming: Advances and Perspectives Springer, Boston, MA. pp. 271- 291 ,(2005) , 10.1007/0-387-24255-4_12
J. J. Dongarra, C. B. Moler, G. W. Stewart, J. R. Bunch, LINPACK Users' Guide ,(1987)
Katya Scheinberg, Luis N. Vicente, Andrew R. Conn, Introduction to Derivative-Free Optimization ,(2009)
Icase, M. Yousuff Hussaini, Natalia M. Alexandrov, Multidisciplinary design optimization : state of the art Society for Industrial and Applied Mathematics. ,(1997)
J.M. Martínez, B.F. Svaiter, A Practical Optimality Condition Without Constraint Qualifications for Nonlinear Programming Journal of Optimization Theory and Applications. ,vol. 118, pp. 117- 133 ,(2003) , 10.1023/A:1024791525441
J. M. Martínez, E. A. Pilotta, Inexact-Restoration Algorithm for Constrained Optimization1 Journal of Optimization Theory and Applications. ,vol. 104, pp. 135- 163 ,(2000) , 10.1023/A:1004632923654
J. M. Martínez, Inexact-Restoration Method with Lagrangian Tangent Decrease and New Merit Function for Nonlinear Programming Journal of Optimization Theory and Applications. ,vol. 111, pp. 39- 58 ,(2001) , 10.1023/A:1017567113614
Klaus Schittkowski, More test examples for nonlinear programming codes ,(1981)
A. R. Conn, K. Scheinberg, Ph. L. Toint, Recent progress in unconstrained nonlinear optimization without derivatives Mathematical Programming. ,vol. 79, pp. 397- 414 ,(1997) , 10.1007/BF02614326
Robert Michael Lewis, Virginia Torczon, Pattern Search Methods for Linearly Constrained Minimization Siam Journal on Optimization. ,vol. 10, pp. 917- 941 ,(1999) , 10.1137/S1052623497331373