Optimisation Numerique
Title | Optimisation Numerique PDF eBook |
Author | J.-Frédéric Bonnans |
Publisher | Mathématiques et Applications |
Pages | 340 |
Release | 1997-09-25 |
Genre | Computers |
ISBN |
Ce livre est exclusivement consacré aux algorithmes numériques d'optimisation (quasi-Newton, faisceaux, programmation quadratique successive, points intérieurs); les bases théoriques (conditions d'optimalité, multiplicateurs de Lagrange) sont supposées connues. Son but est de familiariser le lecteur avec ces algorithmes, qui sont pour la plupart bien classiques. Leur description insiste sur leur implémentation numérique, ils peuvent être programmés directement par un lecteur expérimenté. Le côté théorique n'est pas pour autant négligé, avec démonstration de chaque théorème de convergence ou vitesse de convergence; souvent, ces démonstrations utilisent des hypothèses minimales.
Introduction to Numerical Linear Algebra and Optimisation
Title | Introduction to Numerical Linear Algebra and Optimisation PDF eBook |
Author | Philippe G. Ciarlet |
Publisher | Cambridge University Press |
Pages | 456 |
Release | 1989-08-25 |
Genre | Computers |
ISBN | 9780521339841 |
The purpose of this book is to give a thorough introduction to the most commonly used methods of numerical linear algebra and optimisation. The prerequisites are some familiarity with the basic properties of matrices, finite-dimensional vector spaces, advanced calculus, and some elementary notations from functional analysis. The book is in two parts. The first deals with numerical linear algebra (review of matrix theory, direct and iterative methods for solving linear systems, calculation of eigenvalues and eigenvectors) and the second, optimisation (general algorithms, linear and nonlinear programming). The author has based the book on courses taught for advanced undergraduate and beginning graduate students and the result is a well-organised and lucid exposition. Summaries of basic mathematics are provided, proofs of theorems are complete yet kept as simple as possible, and applications from physics and mechanics are discussed. Professor Ciarlet has also helpfully provided over 40 line diagrams, a great many applications, and a useful guide to further reading. This excellent textbook, which is translated and revised from the very successful French edition, will be of great value to students of numerical analysis, applied mathematics and engineering.
French Mathematical Seminars
Title | French Mathematical Seminars PDF eBook |
Author | Nancy D. Anderson |
Publisher | American Mathematical Soc. |
Pages | 198 |
Release | 1989 |
Genre | Mathematics |
ISBN | 9780821801291 |
Intended for mathematics librarians, the list allows librarians to ascertain if a seminaire has been published, which library has it, and the forms of entry under which it has been cataloged.
Optimisation
Title | Optimisation PDF eBook |
Author | Alfred Auslender |
Publisher | |
Pages | 190 |
Release | 1976 |
Genre | Decomposition method |
ISBN |
Méthodes numériques et optimisation
Title | Méthodes numériques et optimisation PDF eBook |
Author | Jean-Pierre Corriou |
Publisher | Editions Ellipses |
Pages | 694 |
Release | 2022-10-18 |
Genre | Mathematics |
ISBN | 2340074878 |
Cet ouvrage présente une synthèse de l’essentiel des méthodes numériques et d’optimisation sous un angle théorique et pratique. Chaque chapitre présente les méthodes de manière progressive. Chacune des méthodes est systématiquement associée à des exemples et des exercices. Il s'adresse aux étudiants en universités et écoles d'ingénieurs ainsi qu'aux enseignants, chercheurs et ingénieurs.
Numerical Optimization
Title | Numerical Optimization PDF eBook |
Author | Joseph-Frédéric Bonnans |
Publisher | Springer Science & Business Media |
Pages | 421 |
Release | 2013-03-14 |
Genre | Mathematics |
ISBN | 3662050781 |
This book starts with illustrations of the ubiquitous character of optimization, and describes numerical algorithms in a tutorial way. It covers fundamental algorithms as well as more specialized and advanced topics for unconstrained and constrained problems. This new edition contains computational exercises in the form of case studies which help understanding optimization methods beyond their theoretical description when coming to actual implementation.
Encyclopedia of Optimization
Title | Encyclopedia of Optimization PDF eBook |
Author | Christodoulos A. Floudas |
Publisher | Springer Science & Business Media |
Pages | 4646 |
Release | 2008-09-04 |
Genre | Mathematics |
ISBN | 0387747583 |
The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".