A simplex algorithm whose average number of steps is bounded between two quadratic functions of the smaller dimension (1985)

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by Ilan Adler , Nimrod Megiddo
Venue:JOURNAL OF THE ACM
Citations:30 - 2 self

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9 IMPROVED ASYMPTOTIC ANALYSIS OF THE AVERAGE NUMBER OF STEPS PERFORMED BY THE SELF-DUAL SIMPLEX ALGORITHM – Nimrod Megiddo - 1986
THE EXPECTED NUMBER OF EXTREME POINTS OF A RANDOM LINEAR PROGRAM – Sancho E. Berenguer, Robert L. Smith - 1986
145 Smoothed analysis of algorithms: why the simplex algorithm usually takes polynomial time – Daniel A. Spielman, Shang-hua Teng - 2003
4 ON THE EXPECTED NUMBER OF LINEAR COMPLEMENTARITY CONES INTERSECTED BY RANDOM AND SEMI-RANDOM RAYS – Nimrod Megiddo - 1986
2 Parametric linear programming and anti-cycling pivoting rules – T. L. Magnanti, J. B. Orlin - 1988
1 A Geometric Theory of Outliers and Perturbation – John D. Dunagan - 2002
1.4 The Shadow Vertex Pivot Rule......................... 7 – Daniel A. Spielman, Shang-hua Teng - 2008
2 Some problems in asymptotic convex geometry and random matrices motivated by numerical algorithms – Roman Vershynin
45 Exponentially Many Steps for Finding a Nash Equilibrium in a Bimatrix Game – Rahul Savani, Bernhard von Stengel - 2004
Edmonds Fukuda Rule And A General Recursion For Quadratic Programming – Komei Fukuda, Tamás Terlaky
Finding Nash Equilibria of Bimatrix Games – Rahul S. J. Savani
8 Further Development on the Interior Algorithm for Convex Quadratic Programming – Yinyu Ye - 1987
Intrinsic volumes of symmetric cones and applications in convex programming – Dennis Amelunxen, Peter Bürgisser
189 The NP-completeness column: an ongoing guide – David S. Johnson - 1985
1 1996], On reality and models – Joseph F. Traub - 1996
8 On Tail Decay and Moment Estimates of a Condition Number for Random Linear Conic Systems – Dennis Cheung, Felipe Cucker, Raphael Hauser - 2003
The Complementary Pivot . . . – n.n.
13 On the curvature of the central path of linear programming theory – Jean-pierre Dedieu, Gregorio Malajovich, Mike Shub - 2003
3 Challenge instances for NASH – Rahul Savani - 2004