메뉴 건너뛰기




Volumn 95, Issue 2, 2003, Pages 249-277

On implementing a primal-dual interior-point method for conic quadratic optimization

Author keywords

Conic optimization; Interior point methods; Large scale implementation

Indexed keywords

COMPUTATIONAL METHODS; LINEAR ALGEBRA; MATHEMATICAL MODELS; NUMERICAL METHODS; OPTIMIZATION; PROBLEM SOLVING;

EID: 0348006618     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10107-002-0349-3     Document Type: Article
Times cited : (578)

References (33)
  • 1
    • 0003654728 scopus 로고    scopus 로고
    • Technical Report RRR 23-97, RUTCOR, Rutgers Center for Operations Research, RO. Box 5062, New Brunswick, New Jersey, November
    • F. Alizadeh and S. H. Schmieta. Optimization with semidefinite, quadratic and linear constraints. Technical Report RRR 23-97, RUTCOR, Rutgers Center for Operations Research, RO. Box 5062, New Brunswick, New Jersey, November 1997.
    • (1997) Optimization with Semidefinite, Quadratic and Linear Constraints
    • Alizadeh, F.1    Schmieta, S.H.2
  • 3
    • 0029182941 scopus 로고
    • Presolving in linear programming
    • E. D. Andersen and K. D. Andersen. Presolving in linear programming. Math. Programming, 71(2):221-245, 1995.
    • (1995) Math. Programming , vol.71 , Issue.2 , pp. 221-245
    • Andersen, E.D.1    Andersen, K.D.2
  • 5
    • 0001614864 scopus 로고    scopus 로고
    • The MOSEK interior point optimizer for linear programming: An implementation of the homogeneous algorithm
    • H. Frenk, K. Roos, T. Terlaky, and S. Zhang, editors, Kluwer Academic Publishers
    • E. D. Andersen and K. D. Andersen. The MOSEK interior point optimizer for linear programming: an implementation of the homogeneous algorithm. In H. Frenk, K. Roos, T. Terlaky, and S. Zhang, editors, High Performance Optimization, pages 197-232. Kluwer Academic Publishers, 2000.
    • (2000) High Performance Optimization , pp. 197-232
    • Andersen, E.D.1    Andersen, K.D.2
  • 6
    • 0000728112 scopus 로고    scopus 로고
    • Implementation of interior point methods for large scale linear programming
    • T. Terlaky, editor. Kluwer Academic Publishers
    • E. D. Andersen, J. Gondzio, Cs. Mészáros, and X. Xu. Implementation of interior point methods for large scale linear programming. In T. Terlaky, editor. Interior-point methods of mathematical programming, pages 189-252. Kluwer Academic Publishers, 1996.
    • (1996) Interior-point Methods of Mathematical Programming , pp. 189-252
    • Andersen, E.D.1    Gondzio, J.2    Mészáros, Cs.3    Xu, X.4
  • 8
    • 0030247572 scopus 로고    scopus 로고
    • A modified schur complement method for handling dense columns in interior-point methods for linear programming
    • K. D. Andersen. A Modified Schur Complement Method for Handling Dense Columns in Interior-Point Methods for Linear Programming. ACM Trans. Math. Software, 22(3):348-356, 1996.
    • (1996) ACM Trans. Math. Software , vol.22 , Issue.3 , pp. 348-356
    • Andersen, K.D.1
  • 12
    • 0000921195 scopus 로고    scopus 로고
    • Initialization in semidefinite programming via a self-dual, skew-symmetric embedding
    • E. de Klerk, C. Roos, and T. Terlaky. Initialization in semidefinite programming via a self-dual, skew-symmetric embedding. OR Letters, 20:213-221, 1997.
    • (1997) OR Letters , vol.20 , pp. 213-221
    • De Klerk, E.1    Roos, C.2    Terlaky, T.3
  • 15
    • 0030283019 scopus 로고    scopus 로고
    • Barrier functions in interior-point methods
    • O. Güter. Barrier functions in interior-point methods. Math. Oper. Res., 21:860-885, 1996.
    • (1996) Math. Oper. Res. , vol.21 , pp. 860-885
    • Güter, O.1
  • 18
    • 0001662422 scopus 로고
    • Interior point methods for linear programming: Computational state of the art
    • I. J. Lustig, R. E. Marsten, and D. F. Shanno. Interior point methods for linear programming: Computational state of the art. ORSA J. on Compiit., 6(1):1-15, 1994.
    • (1994) ORSA J. on Compiit. , vol.6 , Issue.1 , pp. 1-15
    • Lustig, I.J.1    Marsten, R.E.2    Shanno, D.F.3
  • 19
    • 0000561116 scopus 로고
    • On the implementation of a primal-dual interior point method
    • S. Mehrotra. On the implementation of a primal-dual interior point method. SIAM J. on Optiin., 2(4):575-601, 1992.
    • (1992) SIAM J. on Optiin. , vol.2 , Issue.4 , pp. 575-601
    • Mehrotra, S.1
  • 20
    • 0024665752 scopus 로고
    • Interior path following primal-dual algorithms. Part I: Linear programming
    • R. D. C. Monteiro and I. Adler. Interior path following primal-dual algorithms. Part I: Linear programming. Math. Programming, 44:27-41, 1989.
    • (1989) Math. Programming , vol.44 , pp. 27-41
    • Monteiro, R.D.C.1    Adler, I.2
  • 21
    • 0001856065 scopus 로고    scopus 로고
    • Polynomial convergence of primal-dual algorithms for the second-order cone program based on the MZ-family of directions
    • R. D. C. Monteiro and T. Tsuchiya. Polynomial convergence of primal-dual algorithms for the second-order cone program based on the MZ-family of directions. Math. Programming, 88(1):61-83, 2000.
    • (2000) Math. Programming , vol.88 , Issue.1 , pp. 61-83
    • Monteiro, R.D.C.1    Tsuchiya, T.2
  • 23
    • 0031073753 scopus 로고    scopus 로고
    • Self-scaled barriers and interior-point methods for convex programming
    • February
    • Y. Nesterov and M. J. Todd. Self-scaled barriers and interior-point methods for convex programming. Math. Oper. Res., 22(1):1-42, February 1997.
    • (1997) Math. Oper. Res. , vol.22 , Issue.1 , pp. 1-42
    • Nesterov, Y.1    Todd, M.J.2
  • 24
    • 0010746895 scopus 로고    scopus 로고
    • Infeasible-start primal-dual methods and infeasibility detectors for nonlinear programming problems
    • February
    • Yu. Nesterov, M. J. Todd, and Y. Ye. Infeasible-start primal-dual methods and infeasibility detectors for nonlinear programming problems. Math. Programming, 84(2):227-267, February 1999.
    • (1999) Math. Programming , vol.84 , Issue.2 , pp. 227-267
    • Nesterov, Yu.1    Todd, M.J.2    Ye, Y.3
  • 25
    • 0032222088 scopus 로고    scopus 로고
    • Primal-dual interior-point methods for self-scaled cones
    • Yu. E Nesterov and M. J. Todd. Primal-dual interior-point methods for self-scaled cones. SIAM J. on Optim., 8:324-364, 1998.
    • (1998) SIAM J. on Optim. , vol.8 , pp. 324-364
    • Nesterov, Yu.E.1    Todd, M.J.2
  • 29
    • 0033296299 scopus 로고    scopus 로고
    • SeDuMi 1.02, a MATLAB toolbox for optimizing over symmetric cones
    • J. F. Sturm. SeDuMi 1.02, a MATLAB toolbox for optimizing over symmetric cones. Optimization Methods and Sofware, 11-12:625-653, 1999.
    • (1999) Optimization Methods and Sofware , vol.11-12 , pp. 625-653
    • Sturm, J.F.1
  • 30
    • 0001871029 scopus 로고    scopus 로고
    • Theory and algorithms of semi-definite programming
    • H. Frenk, K. Roos, T. Terlaky, and S. Zhang, editors, Kluwer Academic Publishers
    • J. F. Sturm. Theory and algorithms of semi-definite programming. In H. Frenk, K. Roos, T. Terlaky, and S. Zhang, editors, High Performance Optimization, pages 3-194. Kluwer Academic Publishers, 2000.
    • (2000) High Performance Optimization , pp. 3-194
    • Sturm, J.F.1
  • 32
    • 0347143022 scopus 로고    scopus 로고
    • Generalization of primal-dual interior-point methods to convex optimization problems in conic form
    • L. Tuncel. Generalization of primal-dual interior-point methods to convex optimization problems in conic form. Foundations of Computational Mathematics, 1:229-254, 2001.
    • (2001) Foundations of Computational Mathematics , vol.1 , pp. 229-254
    • Tuncel, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.