All reports by Author Jonathan A. Kelner:

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TR05-156
| 13th December 2005
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Jonathan A. Kelner, Daniel A. Spielman#### A Randomized Polynomial-Time Simplex Algorithm for Linear Programming (Preliminary Version)

Jonathan A. Kelner, Daniel A. Spielman

We present the first randomized polynomial-time simplex algorithm for linear programming. Like the other known polynomial-time algorithms for linear programming, its running time depends polynomially on the number of bits used to represent its input.

We begin by reducing the input linear program to a special form in which we ... more >>>