Introduction to Global Optimization Exploiting Space-Filling Curves

• Main Authors: Sergeyev, Yaroslav D. (Author), Strongin, Roman G. (Author), Lera, Daniela (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: SpringerBriefs in Optimization,
• Subjects: Mathematics.; Algebraic geometry.; Computer software.; Numerical analysis.; Operations research.; Management science.; Manifolds (Mathematics).; Complex manifolds.; Manifolds and Cell Complexes (incl. Diff.Topology).; Operations Research, Management Science.; Mathematical Software.; Numerical Analysis.; Algebraic Geometry.

Introduction to Global Optimization Exploiting Space-Filling Curves provides an overview of classical and new results pertaining to the usage of space-filling curves in global optimization. The authors look at a family of derivative-free numerical algorithms applying space-filling curves to reduce t...

Table of Contents:

• 1. Introduction
• 2. Approximations to Peano curves
• 3. Global optimization algorithms using curves to reduce dimensionality of the problem
• 4. Ideas for acceleration
• 5. A brief conclusion
• References.