A general, sufficient test for proving a local minimum to be the global minimum is presented. The test uses a special lower bounding function and methods for constructing this special bounding function for univariable or multivariable unconstrained signomial design problems are given. Two simple design problems illustrate the use of the constructions and test.
A Sufficient Test for Global Optimality with Signomial Design Applications
Dept. of Mechanical Engineering, Arizona State University, Tempe, Ariz.
Design Division, Stanford University, Stanford, Calif.
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McNeill, B., and Wilde, D. (July 1, 1980). "A Sufficient Test for Global Optimality with Signomial Design Applications." ASME. J. Mech. Des. July 1980; 102(3): 501–505. https://doi.org/10.1115/1.3254775
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