FLEXIBLE VECTOR-PROCESSING ALGORITHMS FOR NUMERICALLY SOLVING EXTREME-SCALE, LINEAR AND NON-LINEAR, PREDICTIVE AND PRESCRIPTIVE, PROBLEMS IN SCIENCE AND ENGINEERING, ON PARALLEL-PROCESSING SUPER COMPUTERS

摘要

A computer-implemented method for numerical solution of a geometric programming problem is described, including the computer-implemented steps of: reformulating the geometric programming problem as an equivalent generalized geometric programming optimization problem with only linear constraints, and solving the equivalent generalized geometric programming optimization problem by vector processing, including determining by computer-implemented numerical computation a solution for an unconstrained objective function whose independent vector variable is the generalized geometric programming conjugate dual of a primal decision vector variable of the geometric programming problem, and includes a variable linear combination of fixed vectors enabling the vector processing. Also described are computer-readable storage devices, computer program products, and computer systems for such numerical solution methodology.