80 citations · 273 across the 41 of their papers we have counts for
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math.OC2011
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…
math.OC2011★ 3 cited
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…
math.OC2011★ 19 cited
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…