Variable Ordering Structures in Vector Optimization is popular PDF and ePub book, written by Gabriele Eichfelder in 2014-04-04, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Variable Ordering Structures in Vector Optimization can be Read Online from any device for your convenience.
Variable Ordering Structures in Vector Optimization Book PDF Summary
This book provides an introduction to vector optimization with variable ordering structures, i.e., to optimization problems with a vector-valued objective function where the elements in the objective space are compared based on a variable ordering structure: instead of a partial ordering defined by a convex cone, we see a whole family of convex cones, one attached to each element of the objective space. The book starts by presenting several applications that have recently sparked new interest in these optimization problems, and goes on to discuss fundamentals and important results on a wide range of topics. The theory developed includes various optimality notions, linear and nonlinear scalarization functionals, optimality conditions of Fermat and Lagrange type, existence and duality results. The book closes with a collection of numerical approaches for solving these problems in practice.
Detail Book of Variable Ordering Structures in Vector Optimization PDF
- Author : Gabriele Eichfelder
- Release : 04 April 2014
- Publisher : Springer Science & Business Media
- ISBN : 9783642542831
- Genre : Mathematics
- Total Page : 330 pages
- Language : English
- PDF File Size : 10,5 Mb
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