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Volumn 94, Issue 1, 1996, Pages 134-142

Quadratically constrained convex quadratic programmes: Faulty feasible regions

Author keywords

Optimization; Quadratic programming

Indexed keywords

CONSTRAINT THEORY; FUNCTIONS; LINEAR PROGRAMMING; MATRIX ALGEBRA;

EID: 0030269814     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-2217(95)00122-0     Document Type: Article
Times cited : (3)

References (20)
  • 1
    • 0041762365 scopus 로고
    • A degenerate extreme point strategy for the classification of linear constraints as redundant or necessary
    • R.J. Caron, J.F. McDonald, and C.M. Ponic, "A degenerate extreme point strategy for the classification of linear constraints as redundant or necessary", Journal of Optimization Theory and Applications 62 (1989) 225-237.
    • (1989) Journal of Optimization Theory and Applications , vol.62 , pp. 225-237
    • Caron, R.J.1    McDonald, J.F.2    Ponic, C.M.3
  • 2
    • 0026947089 scopus 로고
    • Unboundedness of a convex quadratic function subject to concave and convex quadratic constraints
    • R.J. Caron and W.T. Obuchowska, "Unboundedness of a convex quadratic function subject to concave and convex quadratic constraints", European Journal of Operations Research 63 (1992) 114-123.
    • (1992) European Journal of Operations Research , vol.63 , pp. 114-123
    • Caron, R.J.1    Obuchowska, W.T.2
  • 3
    • 0002608202 scopus 로고
    • Minimal representation of quadratically constrained convex feasible regions
    • R.J. Caron and W.T. Obuchowska, "Minimal representation of quadratically constrained convex feasible regions", Mathematical Programming 68 (1995) 169-186.
    • (1995) Mathematical Programming , vol.68 , pp. 169-186
    • Caron, R.J.1    Obuchowska, W.T.2
  • 4
    • 0029185215 scopus 로고
    • An algorithm to determine boundedness of quadratically constrained convex quadratic programmes
    • R.J. Caron and W.T. Obuchowska, "An algorithm to determine boundedness of quadratically constrained convex quadratic programmes", European Journal of Operational Research 80 (1995) 431-438.
    • (1995) European Journal of Operational Research , vol.80 , pp. 431-438
    • Caron, R.J.1    Obuchowska, W.T.2
  • 5
    • 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 on Optimization 2 (1992) 55-70.
    • (1992) SIAM Journal on Optimization , vol.2 , pp. 55-70
    • Den Hertog, D.1    Roos, C.2    Terlaky, T.3
  • 7
    • 0022808235 scopus 로고
    • On projected Newton Barrier methods for linear programming and on equivalence to Karmarkar's projective method
    • P.E. Gill, W. Murray, M.A. Saunders, J.A. Tomlin, and M.H. Wright, "On projected Newton Barrier methods for linear programming and on equivalence to Karmarkar's projective method", Mathematical Programming 36 (1986) 183-209.
    • (1986) Mathematical Programming , vol.36 , pp. 183-209
    • Gill, P.E.1    Murray, W.2    Saunders, M.A.3    Tomlin, J.A.4    Wright, M.H.5
  • 8
    • 0001666256 scopus 로고
    • A logarithmic barrier function algorithm for quadratically constrained convex quadratic programming
    • D. Goldfarb, S. Liu, and S. Wang, "A logarithmic barrier function algorithm for quadratically constrained convex quadratic programming", SIAM Journal on Optimization 1 (1991) 252-267.
    • (1991) SIAM Journal on Optimization , vol.1 , pp. 252-267
    • Goldfarb, D.1    Liu, S.2    Wang, S.3
  • 9
    • 0002466949 scopus 로고
    • Resolution of mathematical programming with non-linear constraints by the method of centres
    • J. Abadie (ed.), North-Holland, Amsterdam
    • P. Huard, "Resolution of mathematical programming with non-linear constraints by the method of centres", in: J. Abadie (ed.), Non-linear Programming, North-Holland, Amsterdam, 1967, 207-219.
    • (1967) Non-linear Programming , pp. 207-219
    • Huard, P.1
  • 10
    • 0025802363 scopus 로고
    • On the convergence of the method of analytic centers when applied to convex quadratic programs
    • F. Jarre, "On the convergence of the method of analytic centers when applied to convex quadratic programs". Mathematical Programming 49 (1991) 341-358.
    • (1991) Mathematical Programming , vol.49 , pp. 341-358
    • Jarre, F.1
  • 11
    • 51249181779 scopus 로고
    • A new polynomial time algorithm for linear programming
    • N. Karmarkar, "A new polynomial time algorithm for linear programming", Combinatorica 4 (1984) 373-395.
    • (1984) Combinatorica , vol.4 , pp. 373-395
    • Karmarkar, N.1
  • 12
    • 0008806475 scopus 로고
    • Constrained optimization via parameter-free penalty functions
    • F.A. Lootsma, "Constrained optimization via parameter-free penalty functions", Phillips Research Report 23 (1968) 424-437.
    • (1968) Phillips Research Report , vol.23 , pp. 424-437
    • Lootsma, F.A.1
  • 13
    • 9744257292 scopus 로고
    • Feasibility issues in primal-dual interior point method for linear programming
    • I.J. Lustig, "Feasibility issues in primal-dual interior point method for linear programming", Mathematical Programming 49 (1990) 145-162.
    • (1990) Mathematical Programming , vol.49 , pp. 145-162
    • Lustig, I.J.1
  • 14
    • 0026142626 scopus 로고
    • A method of analytic centres of quadratically constrained convex quadratic programs
    • S. Mehrotra and Y. Sun, "A method of analytic centres of quadratically constrained convex quadratic programs", SIAM Journal on Numerical Analysis 28 (1991) 529-544.
    • (1991) SIAM Journal on Numerical Analysis , vol.28 , pp. 529-544
    • Mehrotra, S.1    Sun, Y.2
  • 16
    • 0039361444 scopus 로고
    • Quadratically constrained quadratic programming: Some applications and a method for solution
    • E. Phan-huy-Hao, "Quadratically constrained quadratic programming: Some applications and a method for solution", Zeitschrift für Operations Research 8 (1982) 105-119.
    • (1982) Zeitschrift für Operations Research , vol.8 , pp. 105-119
    • Phan-Huy-Hao, E.1
  • 17
    • 0001292818 scopus 로고
    • An 'analytic center' for polyhedrons and new classes of global algorithms for linear (smooth, convex) programming
    • A. Prekopa, J. Szelezsan, and B. Strazicky (eds.), (Lecture Notes in Control and Information Sciences 84), Springer-Verlag, Berlin
    • G. Sonnevend, "An 'analytic center' for polyhedrons and new classes of global algorithms for linear (smooth, convex) programming", in: A. Prekopa, J. Szelezsan, and B. Strazicky (eds.), System Modelling and Optimization: Proceedings of the 12th IFIP Conference, (Lecture Notes in Control and Information Sciences 84), Springer-Verlag, Berlin, 1986, 866-876.
    • (1986) System Modelling and Optimization: Proceedings of the 12th IFIP Conference , pp. 866-876
    • Sonnevend, G.1
  • 18
    • 0020829377 scopus 로고
    • Identifying redundant constraints and implicit equalities in systems of linear constraints
    • J. Telgen, "Identifying redundant constraints and implicit equalities in systems of linear constraints", Management Science 29 (1983) 1209-1222.
    • (1983) Management Science , vol.29 , pp. 1209-1222
    • Telgen, J.1
  • 19
    • 0028713883 scopus 로고
    • Computational experience with a primal-dual interior-point method for smooth convex programming
    • J.-Ph. Vial, "Computational experience with a primal-dual interior-point method for smooth convex programming", Optimization Methods and Software 3 (1994) 285-310.
    • (1994) Optimization Methods and Software , vol.3 , pp. 285-310
    • Vial, J.-Ph.1
  • 20
    • 0025249660 scopus 로고
    • A constrained least squares method for nonlinear ill-posed problems
    • C.R. Vogel, "A constrained least squares method for nonlinear ill-posed problems", SIAM Journal on Control and Optimization 28 (1990) 34-49.
    • (1990) SIAM Journal on Control and Optimization , vol.28 , pp. 34-49
    • Vogel, C.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.