TY - BOOK AU - Lagarias,Jeffrey C. AU - Todd,Michael J. ED - AMS-IMS-SIAM Joint Summer Research Conference on Mathematical Developments Arising from Linear Programming TI - Mathematical developments arising from linear programming: proceedings of a joint summer research conference held at Bowdoin College, June 25-July 1, 1988 T2 - Contemporary mathematics, SN - 9780821877029 (online) AV - QA402.5 .A454 1988 U1 - 519.7/2 20 PY - 1990/// CY - Providence, R.I. PB - American Mathematical Society KW - Programming (Mathematics) KW - Congresses KW - Linear programming N1 - "The AMS-IMS-SIAM Joint Summer Research Conference on Mathematical Developments Arising from Linear Programming was held at Bowdoin College, Brunswick, Maine, on June 25-July 1, 1988"--T.p. verso; Includes bibliographical references; Some recent results on convex polytopes; Carl W. Lee --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097862; Probabilistic analysis of the simplex method; Karl-Heinz Borgwardt --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097863; On solving the linear programming problem approximately; Nimrod Megiddo --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097864; Riemannian geometry underlying interior-point methods for linear programming; Narendra Karmarkar --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097865; Steepest descent, linear programming, and Hamiltonian flows; A. M. Bloch --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097866; An $O(n^3L)$ potential reduction algorithm for linear programming; Yinyu Ye --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097867; I. I. Dikin's convergence result for the affine-scaling algorithm; R. J. Vanderbei and J. C. Lagarias --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097868; Phase $1$ search directions for a primal-dual interior point method for linear programming; Irvin J. Lustig --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097869; Some results concerning convergence of the affine scaling algorithm; Earl R. Barnes --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097870; Dual ellipsoids and degeneracy in the projective algorithm for linear programming; Kurt M. Anstreicher --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097871; A note on limiting behavior of the projective and the affine rescaling algorithms; Miroslav D. A�si�c, Vera V. Kova�cevi�c-Vuj�ci�c and Mirjana D. Radosavljevi�c-Nikoli�c --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097872; On the convergence behavior of trajectories for linear programming; Christoph Witzgall, Paul T. Boggs and Paul D. Domich --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097873; Limiting behavior of the affine scaling continuous trajectories for linear programming problems; Ilan Adler and Renato D. C. Monteiro --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097874; Convergence and boundary behavior of the projective scaling trajectories for linear programming; Renato D. C. Monteiro --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097875; On the complexity of a numerical algorithm for solving generalized convex quadratic programs by following a central path; F. Jarre, G. Sonnevend and J. Stoer --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097876; Canonical problems for quadratic programming and projective methods for their solution; Bahman Kalantari --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097877; An interior point algorithm for solving smooth convex programs based on Newton's method; Sanjay Mehrotra and Jie Sun --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097878; A modified Kantorovich inequality for the convergence of Newton's method; A. A. Goldstein --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097879; An interior-point approach to NP-complete problems. I; Narendra Karmarkar --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097880; Solving matching problems using Karmarkar's algorithm; John E. Mitchell and Michael J. Todd --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097881; Efficient faces of polytopes: interior point algorithms, parameterization of algebraic varieties, and multiple objective optimization; S. S. Abhyankar, T. L. Morin and T. Trafalis --; http://www.ams.org/conm/114; http://dx.doi.org/10.1090/conm/114/1097882; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/conm/114/ UR - http://dx.doi.org/10.1090/conm/114 ER -