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Volumn 20, Issue 5, 2010, Pages 2614-2635

Sequential penalty derivative-free methods for nonlinear constrained optimization

Author keywords

Derivative free optimization; Nonlinear programming; Sequential penalty functions

Indexed keywords

CONSTRAINED PROBLEM; CONSTRAINT VIOLATION; DERIVATIVE-FREE; DERIVATIVE-FREE METHODS; DERIVATIVE-FREE OPTIMIZATION; DIFFERENTIABLE FUNCTIONS; FIRST ORDER DERIVATIVES; MERIT FUNCTION; NON-LINEAR CONSTRAINTS; NONLINEAR CONSTRAINED OPTIMIZATIONS; OBJECTIVE FUNCTIONS; PENALTY FUNCTION; REAL APPLICATIONS; SAMPLING TECHNIQUE; SCIENTIFIC APPLICATIONS; SEVERAL VARIABLES; STANDARD ASSUMPTIONS; STATIONARY POINTS; TEST PROBLEM; THEORETICAL RESULT;

EID: 77956070698     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/090750639     Document Type: Article
Times cited : (64)

References (23)
  • 2
    • 70450163153 scopus 로고    scopus 로고
    • OrthoMADS: A deterministic MADS instance with orthogonal directions
    • M. A. Abramson, C. Audet, J. E. Dennis, Jr., and S. Le Digabel, OrthoMADS: A deterministic MADS instance with orthogonal directions, SIAM J. Optim., 20 (2009), pp. 948- 966.
    • (2009) SIAM J. Optim. , vol.20 , pp. 948-966
    • Abramson, M.A.1    Audet, C.2    Dennis Jr., J.E.3    Le Digabel, S.4
  • 4
    • 7244253635 scopus 로고    scopus 로고
    • A pattern search filter method for nonlinear programming without derivatives
    • C. Audet and J. E. Dennis, Jr., A pattern search filter method for nonlinear programming without derivatives, SIAM J. Optim., 14 (2004), pp. 980-1010.
    • (2004) SIAM J. Optim. , vol.14 , pp. 980-1010
    • Audet, C.1    Dennis Jr., J.E.2
  • 5
    • 33750265086 scopus 로고    scopus 로고
    • Mesh adaptive direct search algorithms for constrained optimization
    • C. Audet and J. E. Dennis, Jr., Mesh adaptive direct search algorithms for constrained optimization, SIAM J. Optim., 17 (2006), pp. 188-217.
    • (2006) SIAM J. Optim. , vol.17 , pp. 188-217
    • Audet, C.1    Dennis Jr., J.E.2
  • 6
    • 70450216951 scopus 로고    scopus 로고
    • A progressive barrier for derivative-free nonlinear programming
    • C. Audet and J. E. Dennis, Jr., A progressive barrier for derivative-free nonlinear programming, SIAM J. Optim., 20 (2009), pp. 445-472.
    • (2009) SIAM J. Optim. , vol.20 , pp. 445-472
    • Audet, C.1    Dennis Jr., J.E.2
  • 11
    • 0001556338 scopus 로고    scopus 로고
    • Nonlinear programming without a penalty function
    • R. Fletcher and S. Leyffer, Nonlinear programming without a penalty function, Math. Program., 91 (2002), pp. 239-269.
    • (2002) Math. Program. , vol.91 , pp. 239-269
    • Fletcher, R.1    Leyffer, S.2
  • 12
    • 0003296427 scopus 로고
    • Test examples for nonlinear programming codes
    • Springer-Verlag, Berlin, New York
    • W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming Codes, Lecture Notes in Econom. and Math. Systems 187, Springer-Verlag, Berlin, New York, 1981.
    • (1981) Lecture Notes in Econom. and Math. Systems , vol.187
    • Hock, W.1    Schittkowski, K.2
  • 13
    • 34247868042 scopus 로고    scopus 로고
    • Search space pruning and global optimisation of multiple gravity assist spacecraft trajectories
    • D. Izzo, V. Becerra, D. Myatt, S. Nasuto, and J. Bishop, Search space pruning and global optimisation of multiple gravity assist spacecraft trajectories, J. Global Optim., 38 (2007), pp. 283-296.
    • (2007) J. Global Optim. , vol.38 , pp. 283-296
    • Izzo, D.1    Becerra, V.2    Myatt, D.3    Nasuto, S.4    Bishop, J.5
  • 14
    • 0242667172 scopus 로고    scopus 로고
    • Optimization by direct search: New perspectives on some classical and modern methods
    • T. G. Kolda, R. M. Lewis, and V. Torczon, Optimization by direct search: New perspectives on some classical and modern methods, SIAM Rev., 45 (2003), pp. 385-482.
    • (2003) SIAM Rev. , vol.45 , pp. 385-482
    • Kolda, T.G.1    Lewis, R.M.2    Torczon, V.3
  • 15
    • 70350285098 scopus 로고    scopus 로고
    • A generating set direct search augmented lagrangian algorithm for optimization with a combination of general and linear constraints
    • Sandia National Laboratories, Albuquerque, NM, Livermore, CA
    • T. G. Kolda, R. M. Lewis, and V. Torczon, A Generating Set Direct Search Augmented Lagrangian Algorithm for Optimization with a Combination of General and Linear Constraints, Technical report SAND2006-5315, Sandia National Laboratories, Albuquerque, NM, Livermore, CA, 2006.
    • (2006) Technical Report SAND2006-5315
    • Kolda, T.G.1    Lewis, R.M.2    Torczon, V.3
  • 16
    • 0036436111 scopus 로고    scopus 로고
    • A globally convergent augmented Lagrangian pattern search algorithm for optimization with general constraints and simple bounds
    • R. M. Lewis and V. Torczon, A globally convergent augmented Lagrangian pattern search algorithm for optimization with general constraints and simple bounds, SIAM J. Optim., 12 (2002), pp. 1075-1089.
    • (2002) SIAM J. Optim. , vol.12 , pp. 1075-1089
    • Lewis, R.M.1    Torczon, V.2
  • 17
    • 62949178474 scopus 로고    scopus 로고
    • Decomposition algorithm model for singly linearly-constrained problems subject to lower and upper bounds
    • C.-J. Lin, S. Lucidi, L. Palagi, A. Risi, and M. Sciandrone, Decomposition algorithm model for singly linearly-constrained problems subject to lower and upper bounds, J.Optim. Theory Appl., 141 (2009), pp. 107-126.
    • (2009) J.Optim. Theory Appl. , vol.141 , pp. 107-126
    • Lin, C.-J.1    Lucidi, S.2    Palagi, L.3    Risi, A.4    Sciandrone, M.5
  • 18
    • 70450210967 scopus 로고    scopus 로고
    • A derivative-free algorithm for inequality constrained nonlinear programming via smoothing of an ℓ∞ penalty function
    • G. Liuzzi and S. Lucidi, A derivative-free algorithm for inequality constrained nonlinear programming via smoothing of an ℓ∞ penalty function, SIAM J. Optim., 20 (2009), pp. 1-29.
    • (2009) SIAM J. Optim. , vol.20 , pp. 1-29
    • Liuzzi, G.1    Lucidi, S.2
  • 19
    • 77956070067 scopus 로고    scopus 로고
    • Sequential penalty derivative-free methods for nonlinear constrained optimization
    • Dipartimento di Sistemi e Informatica, Università di Firenze, Firenze, Italy
    • G. Liuzzi, S. Lucidi, and M. Sciandrone, Sequential Penalty Derivative-free Methods for Nonlinear Constrained Optimization, Technical report RT 1/2009, Dipartimento di Sistemi e Informatica, Università di Firenze, Firenze, Italy, 2009.
    • (2009) Technical Report RT 1/2009
    • Liuzzi, G.1    Lucidi, S.2    Sciandrone, M.3
  • 20
    • 0037289078 scopus 로고    scopus 로고
    • On the global convergence of derivative-free methods for unconstrained optimization
    • S. Lucidi and M. Sciandrone, On the global convergence of derivative-free methods for unconstrained optimization, SIAM J. Optim., 13 (2002), pp. 97-116.
    • (2002) SIAM J. Optim. , vol.13 , pp. 97-116
    • Lucidi, S.1    Sciandrone, M.2
  • 22
    • 0001770043 scopus 로고
    • A direct search optimization method that models the objective and constraint functions by linear interpolation
    • S. Gomez and J-P. Hennart, eds., Kluwer Academic Publishers, Dordrecht, The Netherlands
    • M. J. D. Powell, A direct search optimization method that models the objective and constraint functions by linear interpolation, in Advances in Optimization and Numerical Analysis, S. Gomez and J-P. Hennart, eds., Kluwer Academic Publishers, Dordrecht, The Netherlands, 1994, pp. 51-67.
    • (1994) Advances in Optimization and Numerical Analysis , pp. 51-67
    • Powell, M.J.D.1
  • 23
    • 0003246224 scopus 로고
    • More test examples for nonlinear programming codes
    • Springer-Verlag, Berlin
    • K. Schittkowski, More Test Examples for Nonlinear Programming Codes, Lecture Notes in Econom. and Math. Systems 282, Springer-Verlag, Berlin, 1987.
    • (1987) Lecture Notes in Econom. and Math. Systems , vol.282
    • Schittkowski, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.