80 citations · 273 across the 41 of their papers we have counts for
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On the Triality Theory for a Quartic Polynomial Optimization Problem
David Y Gao, Changzhi Wu
This paper presents a detailed proof of the triality theorem for a class of fourth-order polynomial optimization problems. The method is based on linear algebra but it solves an op…
Complete Solutions and Triality Theory to a Nonconvex Optimization Problem with Double-Well Potential in R^n
Daniel Morales-Silva, David Yang Gao
The main purpose of this research note is to show that the triality theory can always be used to identify both global minimizer and the biggest local maximizer in global optimizati…
Canonical Duality Theory for Solving Minimization Problem of Rosenbrock Function
David Y. Gao, Jiapu Zhang
This paper presents a canonical duality theory for solving nonconvex minimization problem of Rosenbrock function. Extensive numerical results show that this benchmark test problem…
A novel canonical dual computational approach for prion AGAAAAGA amyloid fibril molecular modeling
Jiapu Zhang, David Y. Gao, Johh Yearwood
Many experimental studies have shown that the prion AGAAAAGA palindrome hydrophobic region (113-120) has amyloid fibril forming properties and plays an important role in prion dise…
On the Triality Theory in Global Optimization
David Y. Gao, Changzhi Wu
Triality theory is proved for a general unconstrained global optimization problem. The method adopted is simple but mathematically rigorous. Results show that if the primal problem…