메뉴 건너뛰기




Volumn 84, Issue 2-3, 1997, Pages 193-211

A combined homotopy interior point method for convex nonlinear programming

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000624541     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(96)00086-0     Document Type: Article
Times cited : (38)

References (25)
  • 1
    • 0000110392 scopus 로고
    • An implementation of Karmarkar's algorithm for linear programming problems
    • I. Adler, R. D. C. Monteiro, G. Veiga, and N. Karmarkar, An implementation of Karmarkar's algorithm for linear programming problems, Mathematical Programming 44 297-335 (1989).
    • (1989) Mathematical Programming , vol.44 , pp. 297-335
    • Adler, I.1    Monteiro, R.D.C.2    Veiga, G.3    Karmarkar, N.4
  • 2
    • 0040900696 scopus 로고
    • Theoretical efficiency of a shifted barrier function algorithm for linear programming
    • R. M. Freund, Theoretical efficiency of a shifted barrier function algorithm for linear programming, Linear Algebra and Its Applications 152 19-41 (1991).
    • (1991) Linear Algebra and Its Applications , vol.152 , pp. 19-41
    • Freund, R.M.1
  • 3
    • 0022808235 scopus 로고
    • On projected Newton barrier methods for linear programming and an equivalence to Karmarkar's projective method
    • P. E. Gill, W. Murray, M. A. Saunders, J. A. Tomlin, and W. H. Wright, On projected Newton barrier methods for linear programming and an equivalence to Karmarkar's projective method, Mathematical Programming 36 183-209 (1986).
    • (1986) Mathematical Programming , vol.36 , pp. 183-209
    • Gill, P.E.1    Murray, W.2    Saunders, M.A.3    Tomlin, J.A.4    Wright, W.H.5
  • 4
    • 23644457859 scopus 로고
    • On the convergence of the method of analytic centers when applied to convex quadratic programs
    • J. Jarre, On the convergence of the method of analytic centers when applied to convex quadratic programs, Mathematical Programming 49 341-358 (1990/91).
    • (1990) Mathematical Programming , vol.49 , pp. 341-358
    • Jarre, J.1
  • 5
    • 51249181779 scopus 로고
    • A new polynomial-time algorithm for linear programming
    • N. Karmarkar, A new polynomial-time algorithm for linear programming, Combinatorica 4 373-395 (1984).
    • (1984) Combinatorica , vol.4 , pp. 373-395
    • Karmarkar, N.1
  • 9
    • 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, Mathematical Programming 44 27-41 (1989);
    • (1989) Mathematical Programming , vol.44 , pp. 27-41
    • Monteiro, R.D.C.1    Adler, I.2
  • 10
    • 0024665753 scopus 로고
    • Interior path following primal-dual algorithms. Part II: Convex quadratical programming
    • R. D. C. Monteiro, and I. Adler, Interior path following primal-dual algorithms. Part II: convex quadratical programming. Mathematical Programming 44 43-66 (1989).
    • (1989) Mathematical Programming , vol.44 , pp. 43-66
    • Monteiro, R.D.C.1    Adler, I.2
  • 11
    • 0001292818 scopus 로고
    • An analytical centre for polyhedrons and new classes of global algorithms for linear (smooth, convex) programming
    • A. Prekopa, Ed. Springer-Verlag
    • G. Sonnevend, An analytical centre for polyhedrons and new classes of global algorithms for linear (smooth, convex) programming. In: Lecture Notes in Control and Inform. Sci. 84 (A. Prekopa, Ed.) Springer-Verlag, 1985, 866-876.
    • (1985) Lecture Notes in Control and Inform. Sci. , vol.84 , pp. 866-876
    • Sonnevend, G.1
  • 12
    • 0024656662 scopus 로고
    • The projective SUMT method for convex programming
    • G. P. McCormick, The projective SUMT method for convex programming, Mathematics of Operations Research 14 203-223 (1989).
    • (1989) Mathematics of Operations Research , vol.14 , pp. 203-223
    • McCormick, G.P.1
  • 13
    • 0001434075 scopus 로고
    • An extension of Karmarkar type algorithm to a class of convex separable programming problems with global linear rate of convergence
    • R. D. C. Monteiro, and I. Adler, An extension of Karmarkar type algorithm to a class of convex separable programming problems with global linear rate of convergence, Mathematics of Operations Research 15 408-422 (1990).
    • (1990) Mathematics of Operations Research , vol.15 , pp. 408-422
    • Monteiro, R.D.C.1    Adler, I.2
  • 14
    • 34249954799 scopus 로고
    • Global ellipsoidal approximation and homotopy methods for solving convex analytic programming
    • G. Sonnevend, and Stoer, Global ellipsoidal approximation and homotopy methods for solving convex analytic programming, Appl. Math. Optim. 21 139-165 (1990).
    • (1990) Appl. Math. Optim. , vol.21 , pp. 139-165
    • Sonnevend, G.1    Stoer2
  • 15
    • 0004792910 scopus 로고
    • On some efficient interior point algorithms for nonlinear convex programming
    • K. O. Kortanek, F. Potra, and Y. Ye, On some efficient interior point algorithms for nonlinear convex programming, Linear Algebra and its Applications 152 169-189 (1991).
    • (1991) Linear Algebra and Its Applications , vol.152 , pp. 169-189
    • Kortanek, K.O.1    Potra, F.2    Ye, Y.3
  • 16
    • 0003053248 scopus 로고
    • Interior-point methods for convex programming
    • F. Jarre, Interior-point methods for convex programming, Applied Mathematics and Optimization 26 287-311 (1992).
    • (1992) Applied Mathematics and Optimization , vol.26 , pp. 287-311
    • Jarre, F.1
  • 18
    • 0000444718 scopus 로고
    • A path following algorithm for a class of convex programming problems
    • J. Zhu, A path following algorithm for a class of convex programming problems, ZOR-Methods and Models of Operations Research 36 359-377 (1992).
    • (1992) ZOR-Methods and Models of Operations Research , vol.36 , pp. 359-377
    • Zhu, J.1
  • 19
    • 23644461977 scopus 로고
    • A unifying investigation of interior-point methods for convex programming
    • Faculty of Mathematics and Informatics, TU Delft, NL-2628 BL Delft, The Netherlands
    • D. den Hertog, F. Jarre, C. Roos, and T. Terlaky, A unifying investigation of interior-point methods for convex programming, Technical Report 92-89, Faculty of Mathematics and Informatics, TU Delft, NL-2628 BL Delft, The Netherlands, 1992.
    • (1992) Technical Report , vol.92 , Issue.89
    • Den Hertog, D.1    Jarre, F.2    Roos, C.3    Terlaky, T.4
  • 20
    • 0002830663 scopus 로고
    • A large-step analytic center method for a class of smooth convex programming problems
    • D. den Hertog, C. Roos, and T. Terlaky, A large-step analytic center method for a class of smooth convex programming problems, SIAM Journal of Optimization 2 55-70 (1992).
    • (1992) SIAM Journal of Optimization , vol.2 , pp. 55-70
    • Den Hertog, D.1    Roos, C.2    Terlaky, T.3
  • 21
    • 0026850425 scopus 로고
    • On the classical logarithmic barrier function method for a class of smooth convex programming problems
    • D. den Hertog, C. Roos, and T. Terlaky, On the classical logarithmic barrier function method for a class of smooth convex programming problems, Journal of Optimization Theory and Applications 73 1-25 (1992).
    • (1992) Journal of Optimization Theory and Applications , vol.73 , pp. 1-25
    • Den Hertog, D.1    Roos, C.2    Terlaky, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.