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Volumn 38, Issue 1, 1999, Pages 272-293

Inexact SQP interior point methods and large scale optimal control problems

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; CONTROL SYSTEM ANALYSIS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; LARGE SCALE SYSTEMS; NONLINEAR CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; QUADRATIC PROGRAMMING;

EID: 0343192198     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012996298795     Document Type: Article
Times cited : (44)

References (24)
  • 2
    • 0025746517 scopus 로고
    • Functional and numerical solution of a control problem originating from heat transfer
    • J. BURGER AND M. POGU, Functional and numerical solution of a control problem originating from heat transfer, J. Optim. Theory Appl., 68 (1991), pp. 49-73.
    • (1991) J. Optim. Theory Appl. , vol.68 , pp. 49-73
    • Burger, J.1    Pogu, M.2
  • 4
    • 0020763823 scopus 로고
    • Truncated Newton algorithms for large-scale unconstrained optimization
    • R. S. DEMBO AND T. STEIHAUG, Truncated Newton algorithms for large-scale unconstrained optimization, Math. Programming, 26 (1983), pp. 190-212.
    • (1983) Math. Programming , vol.26 , pp. 190-212
    • Dembo, R.S.1    Steihaug, T.2
  • 6
    • 0030541525 scopus 로고    scopus 로고
    • On the formulation and theory of Newton interior-point method for nonlinear programming
    • A. S. EL-BAKRY, R. A. TAPIA, T. TSUCHIYA, AND Y. ZHANG, On the formulation and theory of Newton interior-point method for nonlinear programming, J. Optim. Theory Appl., 89 (1996), pp. 507-541.
    • (1996) J. Optim. Theory Appl. , vol.89 , pp. 507-541
    • El-Bakry, A.S.1    Tapia, R.A.2    Tsuchiya, T.3    Zhang, Y.4
  • 7
    • 0012126939 scopus 로고
    • Nonlinear programming: Sequential unconstrained minimization techniques
    • SIAM, Philadelphia
    • A. V. FIACCO AND G. P. MCCORMICK, Nonlinear Programming: Sequential Unconstrained Minimization Techniques, Classics Appl. Math. 4, SIAM, Philadelphia, 1990.
    • (1990) Classics Appl. Math. , vol.4
    • Fiacco, A.V.1    McCormick, G.P.2
  • 8
    • 0010007611 scopus 로고
    • On inexact quasi-Newton methods for constrained optimization
    • Boulder, CO, P. T. Boggs, R. H. Byrd, and R. B. Schnabel, eds., SIAM, Philadelphia
    • R. FONTECILLA, On inexact quasi-Newton methods for constrained optimization, in Numerical Optimization 1984: Proceedings of the SIAM Conference on Numerical Optimization, Boulder, CO, P. T. Boggs, R. H. Byrd, and R. B. Schnabel, eds., SIAM, Philadelphia, 1985, pp. 102-118.
    • (1985) Numerical Optimization 1984: Proceedings of the SIAM Conference on Numerical Optimization , pp. 102-118
    • Fontecilla, R.1
  • 9
    • 0344704362 scopus 로고
    • Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
    • P. T. HARKER AND J.-S. PANG, Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications, Math. Programming, 48 (1990), pp. 161-220.
    • (1990) Math. Programming , vol.48 , pp. 161-220
    • Harker, P.T.1    Pang, J.-S.2
  • 11
    • 0029425016 scopus 로고
    • A class of Newton-type methods for equality and inequality constrained optimization
    • C. KANZOW AND H. KLEINMICHEL, A class of Newton-type methods for equality and inequality constrained optimization, Optim. Methods Softw., 5 (1995), pp. 173-198.
    • (1995) Optim. Methods Softw. , vol.5 , pp. 173-198
    • Kanzow, C.1    Kleinmichel, H.2
  • 12
    • 0003212154 scopus 로고
    • A unified approach to interior point algorithms for linear complementarity problems
    • Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo
    • M. KOJIMA, N. MEGGIDO, T. NOMA, AND A. YOSHISE, A Unified Approach to Interior Point Algorithms for Linear Complementarity Problems, Lecture Notes in Comput. Sci. 538, Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, 1991.
    • (1991) Lecture Notes in Comput. Sci. , vol.538
    • Kojima, M.1    Meggido, N.2    Noma, T.3    Yoshise, A.4
  • 13
    • 0000453168 scopus 로고
    • Numerical solution of a nonlinear parabolic control problem by a reduced SQP method
    • F.-S. KUPFER AND E. W. SACHS, Numerical solution of a nonlinear parabolic control problem by a reduced SQP method, Comput. Optim. Appl., 1 (1992), pp. 113-135.
    • (1992) Comput. Optim. Appl. , vol.1 , pp. 113-135
    • Kupfer, F.-S.1    Sachs, E.W.2
  • 15
    • 0000940045 scopus 로고
    • Numerical solution of parabolic state constrained control problems using SQP- and interior-point-methods
    • W. W. Hager, D. W. Hearn, and P. M. Pardalos, eds., Kluwer, Norwell, MA
    • F. LEIBFRITZ AND E. W. SACHS, Numerical solution of parabolic state constrained control problems using SQP- and interior-point-methods, in Large Scale Optimization: State of the Art, W. W. Hager, D. W. Hearn, and P. M. Pardalos, eds., Kluwer, Norwell, MA, 1994, pp. 251-264.
    • (1994) Large Scale Optimization: State of the Art , pp. 251-264
    • Leibfritz, F.1    Sachs, E.W.2
  • 17
    • 0000380269 scopus 로고
    • A sequential quadratic programming algorithm using an incomplete solution of the subproblem
    • W. MURRAY AND F. J. PRIETO, A sequential quadratic programming algorithm using an incomplete solution of the subproblem, SIAM J. Optim., 5 (1995), pp. 590-640.
    • (1995) SIAM J. Optim. , vol.5 , pp. 590-640
    • Murray, W.1    Prieto, F.J.2
  • 19
    • 0022792007 scopus 로고
    • Inexact Newton methods for the nonlinear complementarity problem
    • J.-S. PANG, Inexact Newton methods for the nonlinear complementarity problem, Math. Programming, 36 (1986), pp. 54-71.
    • (1986) Math. Programming , vol.36 , pp. 54-71
    • Pang, J.-S.1
  • 20
    • 0003000071 scopus 로고
    • Complementarity problems
    • R. Horst and P. M. Pardalos, eds., Nonconvex Optimization and Its Applications 2, Kluwer Academic Publishers, Dordrecht, Boston, London
    • J.-S. PANG, Complementarity problems, in Handbook of Global Optimization, R. Horst and P. M. Pardalos, eds., Nonconvex Optimization and Its Applications 2, Kluwer Academic Publishers, Dordrecht, Boston, London, 1995, pp. 271-338.
    • (1995) Handbook of Global Optimization , pp. 271-338
    • Pang, J.-S.1
  • 21
    • 0018977011 scopus 로고
    • Strongly regular generalized equations
    • S. M. ROBINSON, Strongly regular generalized equations, Math. Oper. Res., 5 (1980), pp. 43-62.
    • (1980) Math. Oper. Res. , vol.5 , pp. 43-62
    • Robinson, S.M.1
  • 22
    • 0027576638 scopus 로고
    • Interior point methods for optimal control of discrete time systems
    • S. J. WRIGHT, Interior point methods for optimal control of discrete time systems, J. Optim. Theory Appl., 77 (1993), pp. 161-187.
    • (1993) J. Optim. Theory Appl. , vol.77 , pp. 161-187
    • Wright, S.J.1
  • 23
    • 0000195638 scopus 로고
    • On the superlinear and quadratic convergence of primal-dual interior point linear programming algorithms
    • Y. ZHANG, R. TAPIA, AND J. E. DENNIS, JR., On the superlinear and quadratic convergence of primal-dual interior point linear programming algorithms, SIAM J. Optim., 2 (1992), pp. 304-324.
    • (1992) SIAM J. Optim. , vol.2 , pp. 304-324
    • Zhang, Y.1    Tapia, R.2    Dennis J.E., Jr.3
  • 24
    • 0000357043 scopus 로고
    • On the superlinear convergence of interior-point algorithms for a general class of problems
    • Y. ZHANG, R. TAPIA, AND F. POTRA, On the superlinear convergence of interior-point algorithms for a general class of problems, SIAM J. Optim., 3 (1993), pp. 413-422.
    • (1993) SIAM J. Optim. , vol.3 , pp. 413-422
    • Zhang, Y.1    Tapia, R.2    Potra, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.