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Volumn 220, Issue 1-2, 2008, Pages 525-547

A sequential quadratically constrained quadratic programming method with an augmented Lagrangian line search function

Author keywords

Augmented Lagrangian line search function; Convergence; Nonlinear programming; Quadratically constrained quadratic programming; SQCQP

Indexed keywords

ARSENIC COMPOUNDS; CONSTRAINED OPTIMIZATION; CONSTRAINT THEORY; CURVE FITTING; LAGRANGE MULTIPLIERS; MATHEMATICAL PROGRAMMING; NONLINEAR PROGRAMMING;

EID: 47849086090     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.09.024     Document Type: Article
Times cited : (12)

References (26)
  • 1
    • 0036433570 scopus 로고    scopus 로고
    • A superlinearly convergent sequential quadratically constrained quadratic programming algorithm for degenerate nonlinear programming
    • Anitescu M. A superlinearly convergent sequential quadratically constrained quadratic programming algorithm for degenerate nonlinear programming. SIAM J. Optim. 12 (2002) 949-978
    • (2002) SIAM J. Optim. , vol.12 , pp. 949-978
    • Anitescu, M.1
  • 2
    • 0001280939 scopus 로고    scopus 로고
    • A branch and cut algorithm for nonconvex quadratically constrained quadratic programming
    • Audet C., Hansen P., Jaumard B., and Savard G. A branch and cut algorithm for nonconvex quadratically constrained quadratic programming. Math. Programming Ser. A 87 (2000) 131-152
    • (2000) Math. Programming Ser. A , vol.87 , pp. 131-152
    • Audet, C.1    Hansen, P.2    Jaumard, B.3    Savard, G.4
  • 4
    • 0026908925 scopus 로고
    • Avoiding the Maratos effect by means of a nonmonotone line search, II: inequality constrained problems-feasible iterates
    • Bonnans J.F., Panier E.R., Tits A.L., and Zhou J.L. Avoiding the Maratos effect by means of a nonmonotone line search, II: inequality constrained problems-feasible iterates. SIAM J. Numer. Anal. 29 (1992) 1187-1202
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 1187-1202
    • Bonnans, J.F.1    Panier, E.R.2    Tits, A.L.3    Zhou, J.L.4
  • 6
    • 47849121748 scopus 로고    scopus 로고
    • Y.-H. Dai, K. Schittkowski, A sequential quadratic programming algorithm with non-monotone line search 〈http://www.math.uni-bayreuth.de/~kschittkowski〉 2005, submitted for publication.
    • Y.-H. Dai, K. Schittkowski, A sequential quadratic programming algorithm with non-monotone line search 〈http://www.math.uni-bayreuth.de/~kschittkowski〉 2005, submitted for publication.
  • 7
    • 47849122487 scopus 로고    scopus 로고
    • D. Fernández, M. Solodov, On local convergence of the sequential quadratically-constrained quadratic-programming type methods, with an extension to variational problems, Comput. Optim. Appl., to appear.
    • D. Fernández, M. Solodov, On local convergence of the sequential quadratically-constrained quadratic-programming type methods, with an extension to variational problems, Comput. Optim. Appl., to appear.
  • 8
    • 0242595924 scopus 로고    scopus 로고
    • A sequential quadratically constrained quadratic programming method for differentiable convex minimization
    • Fukushima M., Luo Z.-Q., and Tseng P. A sequential quadratically constrained quadratic programming method for differentiable convex minimization. SIAM J. Optim. 13 (2003) 1098-1119
    • (2003) SIAM J. Optim. , vol.13 , pp. 1098-1119
    • Fukushima, M.1    Luo, Z.-Q.2    Tseng, P.3
  • 9
    • 47849106286 scopus 로고    scopus 로고
    • P.E. Gill, W. Murray, M.A. Saunders, M.H. Wright, User's Guide for NPSOL (Version 4.0): a Fortran package for nonlinear programming, Report SOL 86-2, Systems Optimization Laboratory, Stanford University, 1986.
    • P.E. Gill, W. Murray, M.A. Saunders, M.H. Wright, User's Guide for NPSOL (Version 4.0): a Fortran package for nonlinear programming, Report SOL 86-2, Systems Optimization Laboratory, Stanford University, 1986.
  • 10
    • 0003113842 scopus 로고
    • Some theoretical properties of an augmented Lagrangian merit function
    • Pardalos P.M. (Ed), North-Holland, Amsterdam
    • Gill P.E., Murray W., Saunders M.A., and Wright M.H. Some theoretical properties of an augmented Lagrangian merit function. In: Pardalos P.M. (Ed). Advances in Optimization and Parallel Computing (1992), North-Holland, Amsterdam 101-128
    • (1992) Advances in Optimization and Parallel Computing , pp. 101-128
    • Gill, P.E.1    Murray, W.2    Saunders, M.A.3    Wright, M.H.4
  • 11
    • 0022766519 scopus 로고
    • A nonmonotone line search technique for Newton's method
    • Grippo L., Lampariello F., and Lucidi S. A nonmonotone line search technique for Newton's method. SIAM J. Numer. Anal. 23 (1986) 707-716
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 707-716
    • Grippo, L.1    Lampariello, F.2    Lucidi, S.3
  • 12
    • 33845442391 scopus 로고    scopus 로고
    • New sequential quadratically constrained quadratic programming norm-relaxed method of feasible directions
    • Jian J.-B. New sequential quadratically constrained quadratic programming norm-relaxed method of feasible directions. J. Optim. Theory Appl. 129 (2006) 109-130
    • (2006) J. Optim. Theory Appl. , vol.129 , pp. 109-130
    • Jian, J.-B.1
  • 13
    • 47849123279 scopus 로고    scopus 로고
    • J.-B. Jian, C.-M. Tang, H.-Y. Zheng, Sequential quadratically constrained quadratic programming norm-Relaxed algorithm of strongly sub-feasible directions, manuscript.
    • J.-B. Jian, C.-M. Tang, H.-Y. Zheng, Sequential quadratically constrained quadratic programming norm-Relaxed algorithm of strongly sub-feasible directions, manuscript.
  • 14
    • 0007232735 scopus 로고    scopus 로고
    • SQ2P, Sequential quadratic constrained quadratic programming
    • Yuan Y.X. (Ed), Kluwer Academic Publishers, Dordrecht
    • Kruk S., and Wolkowicz H. SQ2P, Sequential quadratic constrained quadratic programming. In: Yuan Y.X. (Ed). Advances in Nonlinear Programming (1998), Kluwer Academic Publishers, Dordrecht 177-204
    • (1998) Advances in Nonlinear Programming , pp. 177-204
    • Kruk, S.1    Wolkowicz, H.2
  • 15
    • 0035600660 scopus 로고    scopus 로고
    • A computationally efficient feasible sequential quadratic programming algorithm
    • Lawrence C.T., and Tits A.L. A computationally efficient feasible sequential quadratic programming algorithm. SIAM J. Optim. 11 (2001) 1092-1118
    • (2001) SIAM J. Optim. , vol.11 , pp. 1092-1118
    • Lawrence, C.T.1    Tits, A.L.2
  • 16
    • 47849093326 scopus 로고    scopus 로고
    • M.S. Lobo, L. Vandenberghe, S. Boyd, SOCP: Software for second-order cone programming, user's guide (Beta version), April 1997.
    • M.S. Lobo, L. Vandenberghe, S. Boyd, SOCP: Software for second-order cone programming, user's guide (Beta version), April 1997.
  • 18
    • 47849092842 scopus 로고    scopus 로고
    • N. Maratos, Exact penalty function algorithm for finite dimensional and control optimization problems, Ph.D. Thesis, Imperial College Science, Technology, University of London, 1978.
    • N. Maratos, Exact penalty function algorithm for finite dimensional and control optimization problems, Ph.D. Thesis, Imperial College Science, Technology, University of London, 1978.
  • 19
    • 0026205566 scopus 로고
    • Avoiding the Maratos effect by means of a nonmonotone line search, I: general constrained problems
    • Panier E.R., and Tits A.L. Avoiding the Maratos effect by means of a nonmonotone line search, I: general constrained problems. SIAM J. Numer. Anal. 28 (1991) 1183-1195
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1183-1195
    • Panier, E.R.1    Tits, A.L.2
  • 20
    • 47849104284 scopus 로고    scopus 로고
    • M.J.D. Powell, A fast algorithm for nonlinearly constraint optimization calculations, in: G.A. Watson, (Ed.), Numerical Analysis, Lecture Notes in Mathematics, vol. 630, Springer, Berlin, 1978.
    • M.J.D. Powell, A fast algorithm for nonlinearly constraint optimization calculations, in: G.A. Watson, (Ed.), Numerical Analysis, Lecture Notes in Mathematics, vol. 630, Springer, Berlin, 1978.
  • 21
    • 34250427726 scopus 로고
    • The multiplier method of Hestenes and Powell applied to convex programming
    • Rockafellar R.T. The multiplier method of Hestenes and Powell applied to convex programming. J. Optim. Theory Appl. 12 (1973) 555-562
    • (1973) J. Optim. Theory Appl. , vol.12 , pp. 555-562
    • Rockafellar, R.T.1
  • 22
    • 34250232455 scopus 로고
    • The nonlinear programming method of Wilson, Han and Powell. Part 1: convergence analysis. Part 2: an efficient implementation with linear least squares subproblems
    • Schittkowski K. The nonlinear programming method of Wilson, Han and Powell. Part 1: convergence analysis. Part 2: an efficient implementation with linear least squares subproblems. Numer. Math. 38 (1981) 83-127
    • (1981) Numer. Math. , vol.38 , pp. 83-127
    • Schittkowski, K.1
  • 23
    • 0000507510 scopus 로고
    • On the convergence of a sequential quadratic programming method with an augmented Lagrangian line search function
    • Schittkowski K. On the convergence of a sequential quadratic programming method with an augmented Lagrangian line search function. Mathematische Operationsforschung und Statistik, Series Optimization 14 (1983) 197-216
    • (1983) Mathematische Operationsforschung und Statistik, Series Optimization , vol.14 , pp. 197-216
    • Schittkowski, K.1
  • 24
    • 47849084545 scopus 로고    scopus 로고
    • K. Schittkowski, NLPQLP: a Fortran implementation of a sequential quadratic programming algorithm with distributed and non-monotone line search-user's guide, version 2.2, Report, Department of Computer Science, University of Bayreuth, 2006.
    • K. Schittkowski, NLPQLP: a Fortran implementation of a sequential quadratic programming algorithm with distributed and non-monotone line search-user's guide, version 2.2, Report, Department of Computer Science, University of Bayreuth, 2006.
  • 25
    • 4043068448 scopus 로고    scopus 로고
    • On the sequential quadratically constrained quadratic programming methods
    • Solodov M.V. On the sequential quadratically constrained quadratic programming methods. Math. Oper. Res. 29 (2004) 64-79
    • (2004) Math. Oper. Res. , vol.29 , pp. 64-79
    • Solodov, M.V.1
  • 26
    • 9944232746 scopus 로고    scopus 로고
    • A feasible trust-region sequential quadratic programming algorithm
    • Wright S.J., and Tenny M.J. A feasible trust-region sequential quadratic programming algorithm. SIAM J. Optim. 14 (2004) 1074-1105
    • (2004) SIAM J. Optim. , vol.14 , pp. 1074-1105
    • Wright, S.J.1    Tenny, M.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.