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Volumn 100, Issue 1, 2004, Pages 95-132

Preprocessing for quadratic programming

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SOFTWARE; LAGRANGE MULTIPLIERS; LINEAR PROGRAMMING; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING; VECTORS;

EID: 19844366207     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10107-003-0487-2     Document Type: Review
Times cited : (94)

References (16)
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    • (1995) Math. Program. , vol.71 , Issue.2 , pp. 221-245
    • Andersen, E.D.1    Andersen, K.D.2
  • 3
    • 3843121201 scopus 로고
    • Structural redundancy in large-scale optimization models
    • M.H. Karwan et al., (ed.), Springer Verlag, Heidelberg
    • Bradley, G.H., Brown, G.G., Graves, G.W.: Structural redundancy in large-scale optimization models. In: M.H. Karwan et al., (ed.), Redundancy in Mathematical Programming, Springer Verlag, Heidelberg, 1983, pp. 145-169
    • (1983) Redundancy in Mathematical Programming , pp. 145-169
    • Bradley, G.H.1    Brown, G.G.2    Graves, G.W.3
  • 4
    • 0016472959 scopus 로고
    • Analysis of mathematical programming problems prior to applying the simplex algorithm
    • Brearley, A.L., Mitra, G., Williams, H.P.: Analysis of mathematical programming problems prior to applying the simplex algorithm. Math. Program. 8(1), 54-83 (1975)
    • (1975) Math. Program. , vol.8 , Issue.1 , pp. 54-83
    • Brearley, A.L.1    Mitra, G.2    Williams, H.P.3
  • 5
    • 0000317378 scopus 로고    scopus 로고
    • A primal-dual trust-region algorithm for minimizing a non-convex function subject to bound and linear equality constraints
    • Conn, A.R., Gould, N.I.M., Orban, D., Toint, Ph.L.: A primal-dual trust-region algorithm for minimizing a non-convex function subject to bound and linear equality constraints. Math. Program. 87(2), 215-249 (2000)
    • (2000) Math. Program. , vol.87 , Issue.2 , pp. 215-249
    • Conn, A.R.1    Gould, N.I.M.2    Orban, D.3    Toint, Ph.L.4
  • 7
    • 21044451542 scopus 로고    scopus 로고
    • Preprocessing complementarity problems
    • M.C. Ferris, O.Mangasarian and J.S. Pang, (eds.), Kluwer Academic Publishers, Dordrecht
    • Ferris, M.C., Munson, T.S.: Preprocessing complementarity problems. In: M.C. Ferris, O.Mangasarian and J.S. Pang, (eds.), Complementarity: Applications, Algorithms and Extensions, Kluwer Academic Publishers, Dordrecht, 2001 pp. 143-164
    • (2001) Complementarity: Applications, Algorithms and Extensions , pp. 143-164
    • Ferris, M.C.1    Munson, T.S.2
  • 8
    • 0040845857 scopus 로고
    • Experience with a primal presolve algorithm
    • W.W. Hager, D.W. Hearn and P.M. Pardalos, (eds.), Kluwer Academic Publishers, Dordrecht
    • Fourer, R., Gay, D.M.: Experience with a primal presolve algorithm. In: W.W. Hager, D.W. Hearn and P.M. Pardalos, (eds.), Large Scale Optimization: State of the Art, Kluwer Academic Publishers, Dordrecht, 1994, pp. 135-154
    • (1994) Large Scale Optimization: State of the Art , pp. 135-154
    • Fourer, R.1    Gay, D.M.2
  • 9
    • 0002882891 scopus 로고    scopus 로고
    • Presolve analysis of linear programs prior to applying an interior point method
    • Gondzio, J.: Presolve analysis of linear programs prior to applying an interior point method. INFORMS J. Comput. 9(1), 73-91 (1997)
    • (1997) INFORMS J. Comput. , vol.9 , Issue.1 , pp. 73-91
    • Gondzio, J.1
  • 10
    • 2442517922 scopus 로고    scopus 로고
    • Numerical methods for large-scale non-convex quadratic programming
    • A.H. Siddiqi and M.Kočvara, (eds.), Kluwer Academic Publishers, Dordrecht
    • Gould, N.I.M., Toint, Ph.L.: Numerical methods for large-scale non-convex quadratic programming. In: A.H. Siddiqi and M.Kočvara, (eds.), Trends in Industrial and Applied Mathematics, Kluwer Academic Publishers, Dordrecht, 2002 pp. 149-179
    • (2002) Trends in Industrial and Applied Mathematics , pp. 149-179
    • Gould, N.I.M.1    Toint, Ph.L.2
  • 13
    • 21044436557 scopus 로고    scopus 로고
    • Componentwise fast convergence in solving nonlinear equations
    • Gould, N.I.M., Orban, D., Sartenaer, A., Toint, Ph.L.: Componentwise fast convergence in solving nonlinear equations. Math. Program., Ser. B 92(3), 481-508 (2002)
    • (2002) Math. Program., Ser. B , vol.92 , Issue.3 , pp. 481-508
    • Gould, N.I.M.1    Orban, D.2    Sartenaer, A.3    Toint, Ph.L.4
  • 14
    • 0036342101 scopus 로고    scopus 로고
    • Robust reduction of a class of large-scale linear programs
    • Ioslovich, I.: Robust reduction of a class of large-scale linear programs. SIAM J. Optim. 12(1), 262-282 (2001)
    • (2001) SIAM J. Optim. , vol.12 , Issue.1 , pp. 262-282
    • Ioslovich, I.1
  • 15
    • 0020831057 scopus 로고
    • Formal optimization of some reduced linear programming problems
    • Tomlin, J. A., Welch, J.S.: Formal optimization of some reduced linear programming problems. Math. Program. 27(2), 232-240 (1983a)
    • (1983) Math. Program. , vol.27 , Issue.2 , pp. 232-240
    • Tomlin, J.A.1    Welch, J.S.2
  • 16
    • 0020764985 scopus 로고
    • A pathological case in the reduction of linear programs
    • Tomlin, J.A., Welch, J.S.: A pathological case in the reduction of linear programs. Oper. Res. Lett. 2, 53-57 (1983b)
    • (1983) Oper. Res. Lett. , vol.2 , pp. 53-57
    • Tomlin, J.A.1    Welch, J.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.