METHOD, APPARATUS, AND ARTICLE OF MANUFACTURE FOR SOLVING LINEAR OPTIMIZATION PROBLEMS INCLUDING LINEAR PROGRAMMING PROBLEMS AND SYSTEMS OF LINEAR EQUATIONS

In accordance with one embodiment of the invention, a method of optimizing a linear equation optimality problem subject to a change of conditions can be accomplished. The method can include determining a first set of conditions for the linear equation optimality problem; initiating processing by a computer to optimize the optimality problem in accordance with the first set of conditions; determining a second set of conditions different from the first set of conditions; continuing processing with the computer to optimize the optimality problem by using the second set of conditions without having to re-initialize the computer.