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Nonlinear Global Optimization Using Curdling Algorithm in Mathematica Environmet

Software ·
OSTI ID:1230398

An algorithm for performing optimization which is a derivative-free, grid-refinement approach to nonlinear optimization was developed and implemented in software as OPTIMIZE. This approach overcomes a number of deficiencies in existing approaches. Most notably, it finds extremal regions rather than only single extremal points. the program is interactive and collects information on control parameters and constraints using menus. For up to two (and potentially three) dimensions, function convergence is displayed graphically. Because the algorithm does not compute derivatives, gradients, or vectors, it is numerically stable. It can find all the roots of a polynomial in one pass. It is an inherently parallel algorithm. OPTIMIZE-M is a modification of OPTIMIZE designed for use within the Mathematica environment created by Wolfram Research.

Short Name / Acronym:
OPTIMIZE-M; 001181SUN0000
Version:
00
Programming Language(s):
Medium: X; OS: Any Unix environment utilizing the proprietary Wolfram Research Mathematica software; Compatibility: Any UNIX operating environmemt utilizing Wolfram Research Mathematica Software
Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
DOE/ER
DOE Contract Number:
P
OSTI ID:
1230398
Country of Origin:
United States

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