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Volumn 223, Issue 1, 2009, Pages 485-498

A smoothing Newton method for a type of inverse semi-definite quadratic programming problem

Author keywords

Inverse optimization; Semi definite quadratic programming; Smoothing Newton method

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; INVERSE PROBLEMS; LINEAR SYSTEMS; NEWTON-RAPHSON METHOD; NONLINEAR PROGRAMMING; OPTIMIZATION; THEOREM PROVING;

EID: 54249115069     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2008.01.028     Document Type: Article
Times cited : (15)

References (22)
  • 1
    • 0035465539 scopus 로고    scopus 로고
    • Inverse optimization
    • Ahuja R.K., and Orlin J.B. Inverse optimization. Oper. Res. 49 (2001) 771-783
    • (2001) Oper. Res. , vol.49 , pp. 771-783
    • Ahuja, R.K.1    Orlin, J.B.2
  • 2
    • 0141764696 scopus 로고    scopus 로고
    • Combinatorial algorithms for inverse network flow problems
    • Ahuja R.K., and Orlin J.B. Combinatorial algorithms for inverse network flow problems. Networks 40 (2002) 181-187
    • (2002) Networks , vol.40 , pp. 181-187
    • Ahuja, R.K.1    Orlin, J.B.2
  • 4
    • 0142031053 scopus 로고    scopus 로고
    • Weight reduction problems with certain bottleneck objectives
    • Burkard R.E., Lin Y., and Zhang J. Weight reduction problems with certain bottleneck objectives. European J. Oper. Res. 153 (2004) 191-199
    • (2004) European J. Oper. Res. , vol.153 , pp. 191-199
    • Burkard, R.E.1    Lin, Y.2    Zhang, J.3
  • 5
    • 0026742679 scopus 로고
    • On an instance of the inverse shortest paths problem
    • Burton W.R., and Toint Ph.L. On an instance of the inverse shortest paths problem. Math. Progr. 53 (1992) 45-61
    • (1992) Math. Progr. , vol.53 , pp. 45-61
    • Burton, W.R.1    Toint, Ph.L.2
  • 6
    • 0002138917 scopus 로고    scopus 로고
    • The complexity analysis of the inverse center location problem
    • Cai M.C., Yang X.G., and Zhang J. The complexity analysis of the inverse center location problem. J. Glob. Optim. 15 (1999) 213-218
    • (1999) J. Glob. Optim. , vol.15 , pp. 213-218
    • Cai, M.C.1    Yang, X.G.2    Zhang, J.3
  • 7
    • 0038485144 scopus 로고    scopus 로고
    • Analysis of nonsmooth symmetric-matrix functions with applications to semidefinite complementarity problems
    • Chen X., Qi H.D., and Tseng P. Analysis of nonsmooth symmetric-matrix functions with applications to semidefinite complementarity problems. SIAM J. Optim. 13 (2003) 960-985
    • (2003) SIAM J. Optim. , vol.13 , pp. 960-985
    • Chen, X.1    Qi, H.D.2    Tseng, P.3
  • 8
    • 4344609663 scopus 로고    scopus 로고
    • Inverse combinatorial optimization: a survey on problems, methods and results
    • Heuberger C. Inverse combinatorial optimization: a survey on problems, methods and results. J. Combin. Optim. 8 (2004) 329-361
    • (2004) J. Combin. Optim. , vol.8 , pp. 329-361
    • Heuberger, C.1
  • 9
    • 27244460594 scopus 로고    scopus 로고
    • Semismoothness of solutions to generalized equations and the Moreau-Yosida regularization
    • Meng F., Sun D., and Zhao G. Semismoothness of solutions to generalized equations and the Moreau-Yosida regularization. Math. Progr. 104 (2005) 561-581
    • (2005) Math. Progr. , vol.104 , pp. 561-581
    • Meng, F.1    Sun, D.2    Zhao, G.3
  • 10
    • 0000012763 scopus 로고    scopus 로고
    • Semismooth and semiconvex functions in constrained optimization
    • Mifflin R. Semismooth and semiconvex functions in constrained optimization. SIAM J. Contol Optim. 15 (1997) 957-972
    • (1997) SIAM J. Contol Optim. , vol.15 , pp. 957-972
    • Mifflin, R.1
  • 11
    • 0027543961 scopus 로고
    • A nonsmooth version of Newton's method
    • Qi L., and Sun J. A nonsmooth version of Newton's method. Math. Progr. 58 (1993) 353-367
    • (1993) Math. Progr. , vol.58 , pp. 353-367
    • Qi, L.1    Sun, J.2
  • 12
    • 0002287357 scopus 로고    scopus 로고
    • A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
    • Qi L., Sun D., and Zhou G. A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities. Math. Progr. 87 (2000) 1-35
    • (2000) Math. Progr. , vol.87 , pp. 1-35
    • Qi, L.1    Sun, D.2    Zhou, G.3
  • 14
    • 0002716979 scopus 로고
    • CGS: A fast Lanczos-type solver for nonsymmetric linear systems
    • Sonneveld P. CGS: A fast Lanczos-type solver for nonsymmetric linear systems. SIAM J. Sci. Statist. Comput. 10 (1989) 36-52
    • (1989) SIAM J. Sci. Statist. Comput. , vol.10 , pp. 36-52
    • Sonneveld, P.1
  • 15
    • 0036474487 scopus 로고    scopus 로고
    • Semismoothness matrix valued functions
    • Sun D., and Sun J. Semismoothness matrix valued functions. Math. Oper. Res. 27 (2002) 150-169
    • (2002) Math. Oper. Res. , vol.27 , pp. 150-169
    • Sun, D.1    Sun, J.2
  • 16
    • 41149143510 scopus 로고    scopus 로고
    • The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming
    • 10.1007/s10107-007-0105-9
    • Sun D., Sun J., and Zhang L. The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming. Math. Prog. (2007). http://dx.doi.org/doi:10.1007/s10107-007-0105-9 10.1007/s10107-007-0105-9
    • (2007) Math. Prog.
    • Sun, D.1    Sun, J.2    Zhang, L.3
  • 17
    • 4043052308 scopus 로고    scopus 로고
    • A squared smoothing Newton method for nonsmooth matrix equations and its applications in semidefinite optimization problems
    • Sun J., Sun D., and Qi L. A squared smoothing Newton method for nonsmooth matrix equations and its applications in semidefinite optimization problems. SIAM J. Optim. 14 (2004) 783-806
    • (2004) SIAM J. Optim. , vol.14 , pp. 783-806
    • Sun, J.1    Sun, D.2    Qi, L.3
  • 18
    • 0030213429 scopus 로고    scopus 로고
    • Calculating some inverse linear programming problems
    • Zhang J., and Liu Z. Calculating some inverse linear programming problems. J. Comput. Appl. Math. 72 (1996) 261-273
    • (1996) J. Comput. Appl. Math. , vol.72 , pp. 261-273
    • Zhang, J.1    Liu, Z.2
  • 19
    • 0032679255 scopus 로고    scopus 로고
    • A further study on inverse linear programming problems
    • Zhang J., and Liu Z. A further study on inverse linear programming problems. J. Comput. Appl. Math. 106 (1999) 345-359
    • (1999) J. Comput. Appl. Math. , vol.106 , pp. 345-359
    • Zhang, J.1    Liu, Z.2
  • 20
    • 0002141311 scopus 로고    scopus 로고
    • Solution structure of some inverse combinatorial optimization problems
    • Zhang J., and Ma Z. Solution structure of some inverse combinatorial optimization problems. J. Combin. Optim. 3 (1999) 127-139
    • (1999) J. Combin. Optim. , vol.3 , pp. 127-139
    • Zhang, J.1    Ma, Z.2
  • 21
    • 54249169286 scopus 로고    scopus 로고
    • J. Zhang, L. Zhang, An Augument Lagrangian Method for a Type of Inverse Quadratic Programming Problems, Report, City University of Hong Kong, 2006
    • J. Zhang, L. Zhang, An Augument Lagrangian Method for a Type of Inverse Quadratic Programming Problems, Report, City University of Hong Kong, 2006
  • 22
    • 0002130882 scopus 로고
    • Projections on convex sets in Hilbert space and spectral theory I and II
    • Zarantonello E.H. (Ed), Academic Press
    • Zarantonello E.H. Projections on convex sets in Hilbert space and spectral theory I and II. In: Zarantonello E.H. (Ed). Contributions to Nonlinear Functional Analysis (1971), Academic Press 237-424
    • (1971) Contributions to Nonlinear Functional Analysis , pp. 237-424
    • Zarantonello, E.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.