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A primal-dual potential reduction method for problems involving matrix inequalities
Interior point algorithms Linear matrix inequaliües Semidefinite programming
2015/8/11
We describe a potential reduction method for convex optimization problems involving matrix inequalities. The method is based on the theory developed by Nesterov and Nemirovsky and generalizes Gonzaga ...
Accuracy and efficiency in computing electrostatic potential for an ion channel model in layered dielectric/electrolyte media
Poisson-Boltzmann equation layered electrolytes and dielectrics
2014/9/26
This paper will investigate the numerical accuracy and efficiency in computing the
electrostatic potential for a finite-height cylinder, used in an explicit/implicit hy-brid solvation model for ion c...
Canonical dual theory applied to a Lennard-Jones potential minimization problem
Mathematical Canonical Duality Theory Mathematical Optimization Lennard-Jones Potential Minimization Problem Global Optimization
2011/9/21
Abstract: The simplified Lennard-Jones (LJ) potential minimization problem is $f(x)=4\sum_{i=1}^N \sum_{j=1,jN (\frac{1}{\tau_{ij}^6} -\frac{1}{\tau_{ij}^3}) {subject to} x\in \mathbb{R}^n,$ where...
Payoff-based Inhomogeneous Partially Irrational Play for Potential Game Theoretic Cooperative Control of Multi-agent Systems
potential game learning algorithm cooperative control multi-agent system
2011/10/9
Abstract: This paper handles a kind of strategic game called potential games and develops a novel learning algorithm Payoff-based Inhomogeneous Partially Irrational Play (PIPIP). The present algorithm...
Escape from the potential well: competition between long jumps and long waiting times
potential well competition between long jumps long waiting times
2010/12/15
Within a concept of the fractional diffusion equation and subordination, the paper examines the
influence of a competition between long waiting times and long jumps on the escape from the poten-tial ...