simplex method <algorithm> An {algorithm} for solving the classical {linear programming} problem; developed by George B. Dantzig in 1947. The simplex method is an {iterative} procedure, solving a system of {linear equations} in each of its steps, and stopping when either the optimum is reached, or the solution proves infeasible. The basic method remained pretty much the same over the years, though there were many refinements targeted at improving performance (eg. using {sparse matrix} techniques), numerical {accuracy} and stability, as well as solving special classes of problems, such as {mixed-integer} programming. (2003-07-09)