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Volumn 96, Issue 2, 1998, Pages 397-436

Two-phase model algorithm with global convergence for nonlinear programming

Author keywords

global convergence; GRG methods; Nonlinear programming; projected gradient methods; SGRA methods; SQP methods; trust regions

Indexed keywords

GRADIENT METHODS; NONLINEAR EQUATIONS; RESTORATION;

EID: 0032362856     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022626332710     Document Type: Article
Times cited : (23)

References (25)
  • 1
    • 0000788854 scopus 로고
    • The Gradient Projection Method for Nonlinear Programming, Part 1: Linear Constraints
    • ROSEN, J. B., The Gradient Projection Method for Nonlinear Programming, Part 1: Linear Constraints, SIAM Journal on Applied Mathematics, Vol. 8, pp. 181-217, 1960.
    • (1960) SIAM Journal on Applied Mathematics , vol.8 , pp. 181-217
    • Rosen, J.B.1
  • 2
    • 0001743783 scopus 로고
    • The Gradient Projection Method for Nonlinear Programming, Part 2: Nonlinear Constraints
    • ROSEN, J. B., The Gradient Projection Method for Nonlinear Programming, Part 2: Nonlinear Constraints, SIAM Journal on Applied Mathematics, Vol. 9, pp. 514-532, 1961.
    • (1961) SIAM Journal on Applied Mathematics , vol.9 , pp. 514-532
    • Rosen, J.B.1
  • 5
    • 0014584343 scopus 로고
    • Sequential Gradient-Restoration Algorithm for the Minimization of Constrained Functions: Ordinary and Conjugate Gradient Version
    • MIELE, A., HUANG, H. Y., and HEIDEMAN, J. C., Sequential Gradient-Restoration Algorithm for the Minimization of Constrained Functions: Ordinary and Conjugate Gradient Version, Journal of Optimization Theory and Applications, Vol. 4, pp. 213-246, 1969.
    • (1969) Journal of Optimization Theory and Applications , vol.4 , pp. 213-246
    • Miele, A.1    Huang, H.Y.2    Heideman, J.C.3
  • 6
    • 0015081764 scopus 로고
    • Modifications and Extensions of the Conjugate-Gradient Restoration Algorithm for Mathematical Programming Problems
    • MIELE, A., LEVY, A. V., and CRAGG, E. E., Modifications and Extensions of the Conjugate-Gradient Restoration Algorithm for Mathematical Programming Problems, Journal of Optimization Theory and Applications, Vol. 7, pp. 450-472, 1971.
    • (1971) Journal of Optimization Theory and Applications , vol.7 , pp. 450-472
    • Miele, A.1    Levy, A.V.2    Cragg, E.E.3
  • 7
    • 0020861386 scopus 로고
    • Sequential Gradient-Restoration Algorithm for Mathematical Programming Problems with Inequality Constraints, Part 1: Theory
    • Rice University
    • MIELE, A., SIMS, E. M., and BASAPUR, V. K., Sequential Gradient-Restoration Algorithm for Mathematical Programming Problems with Inequality Constraints, Part 1: Theory, Aero-Astronautics Report No. 168, Rice University, 1983.
    • (1983) Aero-Astronautics Report No. 168
    • Miele, A.1    Sims, E.M.2    Basapur, V.K.3
  • 8
    • 0001882910 scopus 로고
    • Properties of the Sequential Gradient-Restoration Algorithm (SGRA), Part 1: Introduction and Comparison with Related Methods
    • ROM, M., and AVRIEL, M., Properties of the Sequential Gradient-Restoration Algorithm (SGRA), Part 1: Introduction and Comparison with Related Methods, Journal of Optimization Theory and Applications, Vol. 62, pp. 77-98, 1989.
    • (1989) Journal of Optimization Theory and Applications , vol.62 , pp. 77-98
    • Rom, M.1    Avriel, M.2
  • 9
    • 0001882908 scopus 로고
    • Properties of the Sequential Gradient-Restoration Algorithm (SGRA), Part 2: Convergence Analysis
    • ROM, M., and AVRIEL, M., Properties of the Sequential Gradient-Restoration Algorithm (SGRA), Part 2: Convergence Analysis, Journal of Optimization Theory and Applications, Vol. 62, pp. 99-126, 1989.
    • (1989) Journal of Optimization Theory and Applications , vol.62 , pp. 99-126
    • Rom, M.1    Avriel, M.2
  • 10
    • 0003298453 scopus 로고
    • Robust Trust-Region Methods for Nonlinearly Constrained Optimization
    • Houston, Texas
    • BYRD, R., and OMOJOKUN, E., Robust Trust-Region Methods for Nonlinearly Constrained Optimization, 1st SIAM Conference on Optimization, Houston, Texas, 1987.
    • (1987) 1st SIAM Conference on Optimization
    • Byrd, R.1    Omojokun, E.2
  • 11
    • 0026104343 scopus 로고
    • A Global Convergence Theory for the Celis-Dennis-Tapia Trust Region Algorithm for Constrained Optimization
    • EL-ALEM, M. M., A Global Convergence Theory for the Celis-Dennis-Tapia Trust Region Algorithm for Constrained Optimization, SIAM Journal on Numerical Analysis, Vol. 28, pp. 266-290, 1991.
    • (1991) SIAM Journal on Numerical Analysis , vol.28 , pp. 266-290
    • El-Alem, M.M.1
  • 12
    • 0031542597 scopus 로고    scopus 로고
    • A Global Convergence Theory for General Trust-Region-Based Algorithms for Equality Constrained Optimization
    • DENNIS, J. E., EL-ALEM, M. M., and MACIEL, M. C., A Global Convergence Theory for General Trust-Region-Based Algorithms for Equality Constrained Optimization, SIAM Journal on Optimization, Vol. 7, pp. 177-207, 1997.
    • (1997) SIAM Journal on Optimization , vol.7 , pp. 177-207
    • Dennis, J.E.1    El-Alem, M.M.2    Maciel, M.C.3
  • 13
    • 0000105029 scopus 로고
    • A Robust Trust Region Algorithm with a Nonmonotonic Penalty Parameter Scheme for Constrained Optimization
    • EL-ALEM, M. M., A Robust Trust Region Algorithm with a Nonmonotonic Penalty Parameter Scheme for Constrained Optimization, SIAM Journal on Optimization, Vol. 5, pp. 348-378, 1995.
    • (1995) SIAM Journal on Optimization , vol.5 , pp. 348-378
    • El-Alem, M.M.1
  • 16
    • 34249955300 scopus 로고
    • A Trust-Region Algorithm for Equality Constrained Optimization
    • POWELL, M. J. D., and YUAN, Y., A Trust-Region Algorithm for Equality Constrained Optimization, Mathematical Programming, Vol. 49, pp. 190-211, 1991.
    • (1991) Mathematical Programming , vol.49 , pp. 190-211
    • Powell, M.J.D.1    Yuan, Y.2
  • 18
    • 0017908843 scopus 로고
    • Large-Scale Linearly Constrained Optimization
    • MURTAGH, R. B., and SAUNDERS, M. A., Large-Scale Linearly Constrained Optimization, Mathematical Programming, Vol. 14, pp. 41-72, 1978.
    • (1978) Mathematical Programming , vol.14 , pp. 41-72
    • Murtagh, R.B.1    Saunders, M.A.2
  • 19
    • 58149364313 scopus 로고
    • A Trust Region Strategy for Minimization on Arbitrary Domains
    • MARTÍNEZ, J. M., and SANTOS, S. A., A Trust Region Strategy for Minimization on Arbitrary Domains, Mathematical Programming, Vol. 68, pp. 267-302, 1995.
    • (1995) Mathematical Programming , vol.68 , pp. 267-302
    • Martínez, J.M.1    Santos, S.A.2
  • 22
    • 10344242201 scopus 로고    scopus 로고
    • Comparing the Numerical Performance of Two Trust-Region Algorithms for Large-Scale Bound-Constrained Minimization
    • Victoria, Canada
    • DINIZ-EHRHARDT, M. A., GOMES-RUGGIERO, M. A., and SANTOS, S. A., Comparing the Numerical Performance of Two Trust-Region Algorithms for Large-Scale Bound-Constrained Minimization, 5th SIAM Conference on Optimization, Victoria, Canada, 1996.
    • (1996) 5th SIAM Conference on Optimization
    • Diniz-Ehrhardt, M.A.1    Gomes-Ruggiero, M.A.2    Santos, S.A.3
  • 23
    • 0026136104 scopus 로고
    • A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds
    • CONN, A. R., GOULD, N. I. M., and TOINT, P. L., A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds, SIAM Journal on Numerical Analysis, Vol. 28, pp. 545-572, 1991.
    • (1991) SIAM Journal on Numerical Analysis , vol.28 , pp. 545-572
    • Conn, A.R.1    Gould, N.I.M.2    Toint, P.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.