
Optimization Problems on Affine Differential Manifolds
Scholars' Press
Published on 13. August 2018
Book
Paperback/Softback
128 pages
978-620-2-31519-7 (ISBN)
Description
Under the red thread "Optimization Problems on Affine Differential Manifolds", our results were distributed in four Chapters: bilevel disjunctive optimization on affine differential manifolds, barrier algorithm for optimization on affine differential manifolds, evolution of Tzitzeica hypersurfaces, and dynamic of evolutive optimization problems. The Topics researched in Chapter I are structured as follows: affine convex functions, optimizations with auto-parallel restrictions, affine convexity of posynomial functions, bilevel disjunctive problem, models of bilevel disjunctive programming problems, properties of minimum functions, and multi-time perspective of a function. Chapter II presents a barrier algorithm, specific to affine differential manifolds, for solving optimization problems with nonlinear constraints. Chapter III specifies and outlines some evolutions implemented for processing the dynamics that may occur in nonlinear optimization problems. Chapter IV contains a possible dynamic of evolutive optimization problems: evolution of an optimization problem, evolution of catastrophe manifold associated to a Lagrange potential, and evolution of an optimal control problem.
More details
Language
English
Dimensions
Height: 220 mm
Width: 150 mm
Thickness: 9 mm
Weight
209 gr
ISBN-13
978-620-2-31519-7 (9786202315197)
Schweitzer Classification
Persons
Dr. Ali Sapeeh Rasheed, Faculty of Sciences, University of Wasit, Wasit, Iraq. Prof. Dr. Constantin Udriste, Professor, University of Politehnica of Bucharest, Faculty of Applied Science, Department of Mathematics and Informatics.