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.

In this paper, we propose two new perturbation simplex variants. Solving linear programming problems without introducing artificial variables, each of the two uses the dual pivot rule to achieve ...

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 ...