Optimization Problems on Affine Differential Manifolds - Couverture souple

Rasheed, Ali; Udriste, Constantin

 
9786202315197: Optimization Problems on Affine Differential Manifolds
Couverture souple
ISBN 10 : 6202315199 ISBN 13 : 9786202315197
Editeur : Scholars' Press, 2018

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Scholars' Press
Date d'édition
2018
Langue
anglais
ISBN 10 
6202315199
ISBN 13 
9786202315197
Reliure
Broché
Nombre de pages
128
Coordonnées du fabricant
non disponible
Personne responsable
non disponible