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

a technology of supercomputers and vector processing algorithms, applied in the field of new vector parallelprocessing algorithms for numerically solving extreme-scale scientific and engineering problems, can solve the problems of insufficient scope and complexity of commercial electrical power distribution networks, limited utility of existing geometric programming techniques, and inability to solve extreme-scale (sometimes referred to as exa-scale or mult-scale) problems involving millions and even billions of decision variables
US20170024357A1Inactive Publication Date: 2017-01-26PETERSON ELMOR L
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Patent Information

Authority / Receiving Office
US · United States
Current Assignee / Owner
PETERSON ELMOR L
Publication Date
2017-01-26
Estimated Expiration
Not applicable · inactive patent

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Abstract

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.
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Description

CROSS-REFERENCE TO RELATED APPLICATIONS

[0001] This is a continuation-in-part application under 35 U.S.C. §120 of International Patent Application No. PCT / US2015 / 023734 filed on Mar. 31, 2015, which in turn claims the benefit of U.S. Provisional Patent Application No. 61 / 973,232 filed on Mar. 31, 2014 in the name of Elmor L. Peterson for “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”. The disclosures of International Patent Application No. PCT / US2015 / 023734 and U.S. Provisional Patent Application No. 61 / 973,232 are hereby incorporated by reference herein in their respective entireties.FIELD

[0002] The present disclosure relates to new vector parallel-processing algorithms for numerically solving extreme-scale scientific and engineering problems not currently solvable in real time by previous algorithms whose computational complex...

Claims

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