메뉴 건너뛰기




Volumn 17, Issue 1, 2007, Pages 259-286

Local convergence of SQP methods for mathematical programs with equilibrium constraints

Author keywords

Equilibrium constraints; Mathematical programs with complementarity constraints (MPCC); Mathematical programs with equilibrium constraints (MPEC); Nonlinear programming; Sequential quadratic programming (SQP)

Indexed keywords

EQUILIBRIUM CONSTRAINTS; MATHEMATICAL PROGRAMS WITH COMPLEMENTARITY CONSTRAINTS (MPCC); MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS (MPEC); SEQUENTIAL QUADRATIC PROGRAMMING (SQP);

EID: 33847137722     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623402407382     Document Type: Article
Times cited : (174)

References (22)
  • 1
    • 33144466691 scopus 로고    scopus 로고
    • Global convergence of an elastic mode approach for a class of mathematical programs with complementarity constraints
    • M. ANITESCU, Global convergence of an elastic mode approach for a class of mathematical programs with complementarity constraints, SIAM J. Optim., 16 (2005), pp. 120-145.
    • (2005) SIAM J. Optim , vol.16 , pp. 120-145
    • ANITESCU, M.1
  • 2
    • 0023843286 scopus 로고
    • Convex two-level optimization
    • J. F. BARD, Convex two-level optimization, Math. Program., 40 (1988), pp. 15-27.
    • (1988) Math. Program , vol.40 , pp. 15-27
    • BARD, J.F.1
  • 3
    • 0028385352 scopus 로고
    • Local convergence analysis of Newton-type methods for variational inequalities and nonlinear programming
    • J. F. BONNANS, Local convergence analysis of Newton-type methods for variational inequalities and nonlinear programming, Appl. Math. Optim., 29 (1994), pp. 161-186.
    • (1994) Appl. Math. Optim , vol.29 , pp. 161-186
    • BONNANS, J.F.1
  • 4
    • 84863041059 scopus 로고
    • The nonlinear bilevel programming problem: Formulations, regularity and optimality conditions
    • Y. CHEN AND M. FLORIAN, The nonlinear bilevel programming problem: Formulations, regularity and optimality conditions, Optimization, 32 (1995), pp. 193-209.
    • (1995) Optimization , vol.32 , pp. 193-209
    • CHEN, Y.1    FLORIAN, M.2
  • 5
    • 0011024137 scopus 로고    scopus 로고
    • A. R. CONN, N. I. M. GOULD, AND PH. L. TOINT, Numerical experiments with the lancelot package (Release A) for large-scale nonlinear optimization, Math. Program., 73 (1996), pp. 73-110.
    • A. R. CONN, N. I. M. GOULD, AND PH. L. TOINT, Numerical experiments with the lancelot package (Release A) for large-scale nonlinear optimization, Math. Program., 73 (1996), pp. 73-110.
  • 6
    • 33847121851 scopus 로고    scopus 로고
    • A. R. CONN, N. I. M. GOULD, AND PH. L. TOINT, Trust-Region Methods, MPS/SIAM Ser. Optim. 1, SIAM, Philadelphia, 2000.
    • A. R. CONN, N. I. M. GOULD, AND PH. L. TOINT, Trust-Region Methods, MPS/SIAM Ser. Optim. 1, SIAM, Philadelphia, 2000.
  • 7
    • 0031352141 scopus 로고    scopus 로고
    • Engineering and economic applications of complementarity problems
    • M. C. FERRIS AND J. S. PANG, Engineering and economic applications of complementarity problems, SIAM Rev., 39 (1997), pp. 669-713.
    • (1997) SIAM Rev , vol.39 , pp. 669-713
    • FERRIS, M.C.1    PANG, J.S.2
  • 8
    • 0033362367 scopus 로고    scopus 로고
    • Modified Wilson method for nonlinear programs with nonunique multipliers
    • A. FISCHER, Modified Wilson method for nonlinear programs with nonunique multipliers, Math. Oper. Res., 24 (1999), pp. 699-727.
    • (1999) Math. Oper. Res , vol.24 , pp. 699-727
    • FISCHER, A.1
  • 9
    • 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. 239-270.
    • (2002) Math. Program , vol.91 , pp. 239-270
    • FLETCHER, R.1    LEYFFER, S.2
  • 10
    • 1542346047 scopus 로고    scopus 로고
    • Solving mathematical programs with complementarity constraints as nonlinear programs
    • R. FLETCHER AND S. LEYFFER, Solving mathematical programs with complementarity constraints as nonlinear programs, Optim. Methods Softw., 19 (2004), pp. 15-40.
    • (2004) Optim. Methods Softw , vol.19 , pp. 15-40
    • FLETCHER, R.1    LEYFFER, S.2
  • 11
    • 0036351707 scopus 로고    scopus 로고
    • M. FUKUSHIMA AND P. TSENG, An implementable active-set algorithm for computing a B-stationary point of the mathematical program with linear complementarity constraints, SIAM J. Optim., 12 (2002), pp. 724-739.
    • M. FUKUSHIMA AND P. TSENG, An implementable active-set algorithm for computing a B-stationary point of the mathematical program with linear complementarity constraints, SIAM J. Optim., 12 (2002), pp. 724-739.
  • 12
    • 0036433588 scopus 로고    scopus 로고
    • SNOPT: An SQP algorithm for large-scale constrained optimization
    • P. E. GILL, W. MURRAY, AND M. A. SAUNDERS, SNOPT: An SQP algorithm for large-scale constrained optimization, SIAM J. Optim., 12 (2002), pp. 979-1006.
    • (2002) SIAM J. Optim , vol.12 , pp. 979-1006
    • GILL, P.E.1    MURRAY, W.2    SAUNDERS, M.A.3
  • 13
    • 0000841637 scopus 로고    scopus 로고
    • Stabilized sequential quadratic programming
    • W. W. HAGER, Stabilized sequential quadratic programming, Comput. Optim. Appl., 12 (1999), pp. 253-273.
    • (1999) Comput. Optim. Appl , vol.12 , pp. 253-273
    • HAGER, W.W.1
  • 14
    • 0001920005 scopus 로고    scopus 로고
    • QPECgen, a MATLAB generator for mathematical programs with quadratic objectives and affine variational inequality constraints
    • H. JIANG AND D. RALPH, QPECgen, a MATLAB generator for mathematical programs with quadratic objectives and affine variational inequality constraints, Comput. Optim. Appl., 13 (1999), pp. 25-59.
    • (1999) Comput. Optim. Appl , vol.13 , pp. 25-59
    • JIANG, H.1    RALPH, D.2
  • 18
    • 0001782846 scopus 로고
    • Perturbed Kuhn-Tucker points and rates of convergence for a class of non-linear programming algorithms
    • S. M. ROBINSON, Perturbed Kuhn-Tucker points and rates of convergence for a class of non-linear programming algorithms, Math. Program., 7 (1974), pp. 1-16.
    • (1974) Math. Program , vol.7 , pp. 1-16
    • ROBINSON, S.M.1
  • 19
    • 0034139059 scopus 로고    scopus 로고
    • Mathematical program with complementarity constraints: Stationarity, optimality and sensitivity
    • H. SCHEEL AND S. SCHOLTES, Mathematical program with complementarity constraints: Stationarity, optimality and sensitivity, Math. Oper. Res., 25 (2000), pp. 1-22.
    • (2000) Math. Oper. Res , vol.25 , pp. 1-22
    • SCHEEL, H.1    SCHOLTES, S.2
  • 20
    • 0035603908 scopus 로고    scopus 로고
    • Convergence properties of a regularization scheme for mathematical programs with complementarity constraints
    • S. SCHOLTES, Convergence properties of a regularization scheme for mathematical programs with complementarity constraints, SIAM J. Optim., 11 (2001), pp. 918-936.
    • (2001) SIAM J. Optim , vol.11 , pp. 918-936
    • SCHOLTES, S.1
  • 21
    • 0035518451 scopus 로고    scopus 로고
    • How stringent is the linear independence assumption for mathematical programs with complementarity constraints?
    • S. SCHOLTES AND M. STÖHR, How stringent is the linear independence assumption for mathematical programs with complementarity constraints?, Math. Oper. Res., 26 (2001), pp. 851-863.
    • (2001) Math. Oper. Res , vol.26 , pp. 851-863
    • SCHOLTES, S.1    STÖHR, M.2
  • 22
    • 0038811728 scopus 로고    scopus 로고
    • Modifying SQP for degenerate problems
    • S. J. WRIGHT, Modifying SQP for degenerate problems, SIAM J. Optim., 13 (2002), pp. 470-497.
    • (2002) SIAM J. Optim , vol.13 , pp. 470-497
    • WRIGHT, S.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.