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math-ph2011★ 1 cited
The Lennard-Jones Potential Minimization Problem for Prion AGAAAAGA Amyloid Fibril Molecular Modeling
Jiapu Zhang
The simplified Lennard-Jones (LJ) potential minimization problem is minimize f(x)=4\sum_{i=1}^N \sum_{j=1,j<i}^N (τ_{ij}^{-6} -τ_{ij}^{-3}) subject to x\in \mathbb{R}^n, where $τ_{…
math-ph2011
A Simple But Effective Canonical Dual Theory Unified Algorithm for Global Optimization
Jiapu Zhang
Numerical global optimization methods are often very time consuming and could not be applied for high-dimensional nonconvex/nonsmooth optimization problems. Due to the nonconvexity…