My Wish Lists Login / Join

Finite Dimensional Convexity and Optimization

By: P. Gourdel, Monique Florenzano, Cuong Le Van

Write A Review

Hardcover | 13 March 2001

At a Glance

Hardcover
172 Pages

Dimensions(cm)
23.39 x 15.6 x 1.12

Hardcover

$282.75

or 4 interest-free payments of $70.69 with

Ships in 10 to 15 business days

The primary aim of this book is to present notions of convex analysis which constitute the basic underlying structure of argumentation in economic theory and which are common to optimization problems encountered in many applications. The intended readers are graduate students, and specialists of mathematical programming whose research fields are applied mathematics and economics. The text consists of a systematic development in eight chapters, with guided exercises containing sometimes significant and useful additional results. The book is appropriate as a class text, or for self-study.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Medicine Medicine in General Mathematics Applied Mathematics Economics Economic Theory & Philosophy Calculus & Mathematical Analysis Functional Analysis & Transforms Optimisation Linear Programming Business & Management

Operational Research Game Theory Econometrics

Notation
Convexity in R[superscript n]	p. 1
Basic concepts	p. 1
Topological properties of convex sets	p. 8
Separation and Polarity	p. 21
Separation of convex sets	p. 21
Polars of convex sets and orthogonal subspaces	p. 28
Application to Minkowski-Farkas' lemma	p. 29
Extremal Structure of Convex Sets	p. 37
Extreme points and faces of convex sets	p. 37
Application to linear inequalities. Weyl's theorem	p. 40
Extreme points and extremal subsets of a polyhedral convex set	p. 45
Linear Programming	p. 51
Necessary and sufficient conditions of optimality	p. 52
The duality theorem of linear programming	p. 54
The simplex method	p. 60
Convex Functions	p. 73
Basic definitions and properties	p. 73
Continuity theorems	p. 76
Continuity properties of collections of convex functions	p. 79
Differential Theory of Convex Functions	p. 87
The Hahn-Banach dominated extension theorem	p. 88
Sublinear functions	p. 89
Support functions	p. 91
Directional derivatives	p. 92
Subgradients and subdifferential of a convex function	p. 93
Differentiability of convex functions	p. 98
Differential continuity for convex functions	p. 100
Convex Optimization With Convex Constraints	p. 109
The minimum of a convex function f: R[superscript n] [approaches]R	p. 110
Kuhn-Tucker Conditions	p. 111
Value functions	p. 123
Non Convex Optimization	p. 129
Quasi-convex functions	p. 129
Minimization of quasi-convex functions	p. 134
Differentiable optimization	p. 137
Appendix	p. 141
Bibliography	p. 147
Index	p. 151
Table of Contents provided by Blackwell. All Rights Reserved.

Finite Dimensional Convexity and Optimization

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Applied Mathematics

Dynamics of Marine Structures

Stochastic Control in Energy, Environmental and Resource Management Applications

Emerging Methodologies and Applications in Modelling, Identification and Control

Mathematics of Uncertainty Applied to Global Issues

Sustainability, Mistreatment of Women, Nuclear Power, Smart Cities, Digitalization

Applied Multivariate Statistical Analysis

Volume 1

Advances in Numerical Methods and Analysis

The Gamma Function (Advanced Topics in Mathematics)

Advanced Topics in Mathematics

Storytelling with Data

1st Edition - A Data Visualization Guide for Business Professionals

Essentials of Medical Statistics

2nd Edition

A Mind for Numbers

How to Excel at Math and Science (Even If You Flunked Algebra)

Engineering Mathematics

5th edition

Advanced Engineering Mathematics, International Adaptation

The Maths Book

Big Ideas Simply Explained

Game Theory

2nd edition

Love Triangle

The Life-changing Magic of Trigonometry

Intermediate Financial Theory

3rd Edition

MATLAB

6th Edition - A Practical Introduction to Programming and Problem Solving

Aerodynamics Principles for Air Transport Pilots

2nd Edition

Storytelling with Data

A Data Visualization Guide for Business Professionals, 10th Anniversary Edition

Introduction to Stochastic Processes

2nd Edition

Bird's Higher Engineering Mathematics

9th Edition

Elementary Linear Algebra

8th Edition - International Metric Edition

Swim Training Patterns

1st Edition - Plan your Training Sessions with the Power of Mathematics

Mathematical Methods for Physics and Engineering

A Comprehensive Guide

Basic Math & Pre-Algebra For Dummies Book + Workbook Bundle

For Dummies Math & Science

This product is categorised by