While sitting in a courtroom, waiting to find out if he would be chosen for jury duty, Daniel Spielman had a revelation-all the work he and colleague Shanghua Teng had built up over the past three ...

The death of mathematician George Dantzig is a scientific watershed. Dantzig developed "linear programming" and the simplex method, used to solve complex efficiency problems for large organizations.

the shortest path simplex algorithm (SPS), has not been analyzed thoroughly, and it is not generally known that certain variants of this algorithm have the same complexity bound of 0(n3) as the best ...

These criteria are useful when you want to divide a time-consuming optimization problem into a series of smaller problems. Since the Nelder-Mead simplex algorithm does not use derivatives, no ...

The simplex method allows considerable flexibility in the choice of pivot element on each iteration, and dozens of vari- ants have been developed (see, for example, Dantzig 1963, Harris 1973, Murty ...