200 citations · 311 across the 10 of their papers we have counts for
10 papers
Towards the methodology for solving the minimum enclosing ball and related problems
Michael N. Vrahatis
Methodology is provided towards the solution of the minimum enclosing ball problem. This problem concerns the determination of the unique spherical surface of smallest radius enclo…
Towards the mathematical foundation of the minimum enclosing ball and related problems
Michael N. Vrahatis
Theoretical background is provided towards the mathematical foundation of the minimum enclosing ball problem. This problem concerns the determination of the unique spherical surfac…
Generalization of the Apollonius theorem for simplices and related problems
Michael N. Vrahatis
The Apollonius theorem gives the length of a median of a triangle in terms of the lengths of its sides. The straightforward generalization of this theorem obtained for m-simplices…
Survey of Methods for Solving Systems of Nonlinear Equations, Part II: Optimization Based Approaches
Ilias S. Kotsireas, Panos M. Pardalos, Alexander Semenov +2
This paper presents a comprehensive survey of methods which can be utilized to search for solutions to systems of nonlinear equations (SNEs). Our objectives with this survey are to…
Survey of Methods for Solving Systems of Nonlinear Equations, Part I: Root-finding Approaches
Ilias S. Kotsireas, Panos M. Pardalos, Alexander Semenov +2
This paper presents a comprehensive survey of methods which can be utilized to search for solutions to systems of nonlinear equations (SNEs). Our objectives with this survey are to…
Particle Swarm Optimization: An efficient method for tracing periodic orbits in 3D galactic potentials
Ch. Skokos, K. E. Parsopoulos, P. A. Patsis +1
We propose the Particle Swarm Optimization (PSO) as an alternative method for locating periodic orbits in a three--dimensional (3D) model of barred galaxies. We develop an appropri…