Supplement to \Linear and Nonlinear Programming"
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[1] George B. Dantzig,et al. Linear programming and extensions , 1965 .
[2] Stephen P. Boyd,et al. Semidefinite Programming , 1996, SIAM Rev..
[3] Yinyu Ye,et al. An O(n3L) potential reduction algorithm for linear programming , 1991, Math. Program..
[4] Shinji Mizuno,et al. An O(√nL)-Iteration Homogeneous and Self-Dual Linear Programming Algorithm , 1994, Math. Oper. Res..
[5] Jean-Philippe Vial,et al. Theory and algorithms for linear optimization - an interior point approach , 1998, Wiley-Interscience series in discrete mathematics and optimization.
[6] D. Bayer,et al. The nonlinear geometry of linear programming. II. Legendre transform coordinates and central trajectories , 1989 .
[7] Kenneth Steiglitz,et al. Combinatorial Optimization: Algorithms and Complexity , 1981 .
[8] Reha H. Tütüncü,et al. An infeasible-interior-point potential-reduction algorithm for linear programming , 1999, Math. Program..
[9] C. C. Gonzaga,et al. An Algorithm for Solving Linear Programming Problems in O(n 3 L) Operations , 1989 .
[10] Sanjay Mehrotra,et al. On the Implementation of a Primal-Dual Interior Point Method , 1992, SIAM J. Optim..
[11] Michael J. Todd. A Low Complexity Interior-Point Algorithm for Linear Programming , 1992, SIAM J. Optim..
[12] Michael J. Todd,et al. A Centered Projective Algorithm for Linear Programming , 1990, Math. Oper. Res..
[13] Levent Tunçel,et al. Constant potential primal—dual algorithms: A framework , 1994, Math. Program..
[14] John N. Tsitsiklis,et al. Introduction to linear optimization , 1997, Athena scientific optimization and computation series.
[15] D. Griffel. Linear programming 2: Theory and extensions , by G. B. Dantzig and M. N. Thapa. Pp. 408. £50.00. 2003 ISBN 0 387 00834 9 (Springer). , 2004, The Mathematical Gazette.
[16] G. Sonnevend. An "analytical centre" for polyhedrons and new classes of global algorithms for linear (smooth, convex) programming , 1986 .
[17] A. J. Goldman,et al. Polyhedral Convex Cones , 1956 .
[18] N. Megiddo. Pathways to the optimal set in linear programming , 1989 .
[19] Z. Luo,et al. Conic convex programming and self-dual embedding , 1998 .
[20] Pravin M. Vaidya,et al. An algorithm for linear programming which requires O(((m+n)n2+(m+n)1.5n)L) arithmetic operations , 1987, Math. Program..
[21] Stephen P. Boyd,et al. Linear Matrix Inequalities in Systems and Control Theory , 1994 .
[22] S. Nash,et al. Linear and Nonlinear Programming , 1987 .
[23] Farid Alizadeh,et al. Combinatorial Optimization with Semi-Definite Matrices , 1992, IPCO.
[24] David P. Williamson,et al. Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming , 1995, JACM.
[25] Shinji Mizuno,et al. On Adaptive-Step Primal-Dual Interior-Point Algorithms for Linear Programming , 1993, Math. Oper. Res..
[26] Renato D. C. Monteiro,et al. Interior path following primal-dual algorithms. part I: Linear programming , 1989, Math. Program..
[27] Timothy H. McNicholl. Review of "Complexity and real computation" by Blum, Cucker, Shub, and Smale. Springer-Verlag. , 2001, SIGA.
[28] S. Vavasis. Nonlinear optimization: complexity issues , 1991 .
[29] Lenore Blum,et al. Complexity and Real Computation , 1997, Springer New York.
[30] Pravin M. Vaidya,et al. An algorithm for linear programming which requires O(((m+n)n2+(m+n)1.5n)L) arithmetic operations , 1990, Math. Program..
[31] C. C. Gonzaga,et al. An (O√(n) L)-Iteration Large-Step Primal-Dual Affine Algorithm for Linear Programming , 1992, SIAM J. Optim..
[32] Roy E. Marsten,et al. On Implementing Mehrotra's Predictor-Corrector Interior-Point Method for Linear Programming , 1992, SIAM J. Optim..
[33] D. Bayer,et al. The Non-Linear Geometry of Linear Pro-gramming I: A?ne and projective scaling trajectories , 1989 .
[34] R. Saigal. Linear Programming: A Modern Integrated Analysis , 1995 .
[35] A. Ruszczynski,et al. Nonlinear Optimization , 2006 .
[36] Yinyu Ye,et al. Semidefinite programming for ad hoc wireless sensor network localization , 2004, Third International Symposium on Information Processing in Sensor Networks, 2004. IPSN 2004.
[37] Richard W. Cottle,et al. Linear Complementarity Problem. , 1992 .
[38] Katta G. Murty,et al. Linear complementarity, linear and nonlinear programming , 1988 .
[39] Michael J. Todd,et al. Self-Scaled Barriers and Interior-Point Methods for Convex Programming , 1997, Math. Oper. Res..
[40] Michael J. Todd,et al. Feature Article - The Ellipsoid Method: A Survey , 1981, Oper. Res..
[41] Anthony V. Fiacco,et al. Nonlinear programming;: Sequential unconstrained minimization techniques , 1968 .
[42] George L. Nemhauser,et al. Handbooks in operations research and management science , 1989 .
[43] J. Hartmanis,et al. On the Computational Complexity of Algorithms , 1965 .
[44] Tamás Terlaky,et al. A Long-step barrier method for convex quadratic programming , 1993, Algorithmica.
[45] L. McLinden. An analogue of Moreau's proximation theorem, with application to the nonlinear complementarity problem. , 1980 .
[46] Dick den Hertog,et al. Interior Point Approach to Linear, Quadratic and Convex Programming: Algorithms and Complexity , 1994 .
[47] Robert J. Vanderbei,et al. Linear Programming: Foundations and Extensions , 1998, Kluwer international series in operations research and management service.
[48] Dimitri P. Bertsekas,et al. Nonlinear Programming , 1997 .
[49] Stephen A. Cook,et al. The complexity of theorem-proving procedures , 1971, STOC.
[50] James Renegar,et al. A polynomial-time algorithm, based on Newton's method, for linear programming , 1988, Math. Program..
[51] Robert M. Freund,et al. Polynomial-time algorithms for linear programming based only on primal scaling and projected gradients of a potential function , 1991, Math. Program..
[52] L. G. H. Cijan. A polynomial algorithm in linear programming , 1979 .
[53] Hanif D. Sherali,et al. Linear Programming and Network Flows , 1977 .
[54] Yinyu Ye,et al. On a homogeneous algorithm for the monotone complementarity problem , 1999, Math. Program..
[55] George B. Dantzig,et al. Linear Programming 1: Introduction , 1997 .
[56] Donald Goldfarb,et al. A primal projective interior point method for linear programming , 1991, Math. Program..
[57] M. Padberg,et al. Linear Optimization and Extensions: Problems and Solutions , 2001 .
[58] Shinji Mizuno,et al. An $$O(\sqrt n L)$$ iteration potential reduction algorithm for linear complementarity problems , 1991, Math. Program..
[59] Narendra Karmarkar,et al. A new polynomial-time algorithm for linear programming , 1984, STOC '84.
[60] Shinji Mizuno,et al. A polynomial-time algorithm for a class of linear complementarity problems , 1989, Math. Program..
[61] Stephen J. Wright. Primal-Dual Interior-Point Methods , 1997, Other Titles in Applied Mathematics.
[62] Robert E. Bixby,et al. Progress in Linear Programming , 1993 .
[63] Yin Zhang,et al. On polynomiality of the Mehrotra-type predictor—corrector interior-point algorithms , 1995, Math. Program..