Samia Challal

Introduction to the Theory of Optimization in Euclidean Space (eBook, PDF)

• Format: PDF

Produktbeschreibung

Introduction to the Theory of Optimization in Euclidean Space is intended to provide students with a robust introduction to optimization in Euclidean space, demonstrating the theoretical aspects of the subject whilst also providing clear proofs and applications.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 334
• Erscheinungstermin: 11. November 2019
• Englisch
• ISBN-13: 9780429511738
• Artikelnr.: 58131382

Autorenporträt

Samia Challal is an assistant professor of Mathematics at Glendon College, the bilingual campus of York University. Her research interests include, homogenization, optimization, free boundary problems, partial differential equations, and problems arising from mechanics.

Inhaltsangabe

1. Introduction. 1.1 Formulation of some optimization problems. 1.2
Particular subsets of Rn. 1.3 Functions of several variables. 2.
Unconstrained Optimization. 2.1 Necessary condition. 2.2 Classification of
local extreme points. 2.3 Convexity/concavity and global extreme points. 3.
Constrained Optimization - Equality constraints. 3.1 Tangent plane. 3.2
Necessary condition for local extreme points-Equality constraints. 3.3
Classification of local extreme points-Equality constraints. 3.4 Global
extreme points-Equality constraints. 4. Constrained Optimization -
Inequality constraints. 4.1 Cone of feasible directions. 4.2 Necessary
condition for local extreme points/Inequality constraints. 4.3
Classification of local extreme points-Inequality constraints. 4.4 Global
extreme points-Inequality constraints. 4.5 Dependence on parameters.