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math.OC2014
Double Well Potential Function and Its Optimization in The n-dimensional Real Space -- Part I
Shu-Cherng Fang, David Yang Gao, Gang-Xuan Lin +2
A special type of multi-variate polynomial of degree 4, called the double well potential function, is studied. When the function is bounded from below, it has a very unique propert…
math.OC2014★ 1 cited
Double Well Potential Function and Its Optimization in the n-dimensional Real Space - Part II
Yong Xia, Ruey-Lin Sheu, Shu-Cherng Fang +1
In contrast to taking the dual approach for finding a global minimum solution of a double well potential function, in Part II of the paper, we characterize a local minimizer, local…