Global optimization over general compact sets by the beta algorithm: A MAPLE code
نویسندگان
چکیده
منابع مشابه
Automatic Code Generation and Optimization in Maple
In this article we discuss the advantages (and pitfalls) in developing code optimization and Maple to C conversion programs for Maple procedures, specifically those required for numerical differential equation solution. Special treatment related to code optimization for large sets of equations is a major focus. Issues related to conversion of Maple code to C code are discussed, and finally a se...
متن کاملOn Polynomial Optimization Over Non-compact Semi-algebraic Sets
We consider the class of polynomial optimization problems inf{f(x) : x ∈ K} for which the quadratic module generated by the polynomials that define K and the polynomial c − f (for some scalar c) is Archimedean. For such problems, the optimal value can be approximated as closely as desired by solving a hierarchy of semidefinite programs and the convergence is finite generically. Moreover, the Ar...
متن کاملA review of the Global Optimization Toolbox for Maple
As surveyed in [7], there are numerous mathematical and engineering problem classes for which a complete search is required. An example is the 300 year old Kepler problem of finding the densest packing of equal spheres in 3-dimensional Euclidean space, for which a computer-assisted proof is proposed by T. C. Hales [4]. The proof consists in reducing the problem to several thousands of linear pr...
متن کاملA Meta-heuristic Algorithm for Global Numerical Optimization Problems inspired by Vortex in fluid physics
One of the most important issues in engineering is to find the optimal global points of the functions used. It is not easy to find such a point in some functions due to the reasons such as large number of dimensions or inability to derive them from the function. Also in engineering modeling, we do not have the relationships of many functions, but we can input and output them as a black box. The...
متن کاملDesign of the Compact Ultra-Wideband (UWB) Antenna Bandwidth Optimization Using Particle Swarm Optimization Algorithm
In this paper a particle swarm optimization (PSO) algorithm is presented to design a compact stepped triangle shape antenna in order to obtain the proper UWB bandwidth as defined by FCC. By changing the various cavity dimensions of the antenna, data to develop PSO program in MATLAB is achieved. The results obtained from the PSO algorithm are applied to the antenna design to fine-tune the bandwi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2006
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2006.08.003