1.

Record Nr.

UNISA996207082203316

Titolo

Cuadernos de ilustración y romanticismo : revista del Grupo de Estudios del Siglo XVIII, Universidad de Cádiz

Pubbl/distr/stampa

Cádiz, España, : Servicio de Publicaciones, Universidad de Cádiz

ISSN

2173-0687

Descrizione fisica

1 online resource

Soggetti

Spanish literature - History and criticism

Romanticism

Enlightenment

Spanish literature

Criticism, interpretation, etc.

Periodicals.

Lingua di pubblicazione

Spagnolo

Formato

Materiale a stampa

Livello bibliografico

Periodico

Note generali

Some issues also have theme titles.

Refereed/Peer-reviewed



2.

Record Nr.

UNINA9910915797103321

Autore

Cerf Max

Titolo

Optimization Techniques I : Continuous Optimization

Pubbl/distr/stampa

Les Ulis : , : EDP Sciences, , 2023

©2023

ISBN

2-7598-3164-7

Edizione

[1st ed.]

Descrizione fisica

1 online resource (484 pages)

Collana

Current Natural Sciences Series

Soggetti

MATHEMATICS / Applied

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Frontmatter -- Preface -- Introduction -- Table of contents -- 1. Continuous optimization -- Introduction -- 1.1 Formulation -- 1.2 Numerical derivatives -- 1.3 Problem reduction -- 1.4 Global optimum -- 1.5 Local optimum -- 1.6 Conclusion -- 2. Gradient-free optimization -- Introduction -- 2.1 Difficult optimization -- 2.2 One-dimensional optimization -- 2.3 DIRECT method -- 2.4 Nelder-Mead method -- 2.5 Affine shaker -- 2.6 CMAES -- 2.7 Simulated annealing -- 2.8 Research with tabu -- 2.9 Particle swarms -- 2.10 Ant colonies -- 2.11 Evolutionary algorithms -- 2.12 Conclusion -- 3. Unconstrained optimization -- Introduction -- 3.1 Newton’s method -- 3.2 Quasi-Newton methods -- 3.3 Line search -- 3.4 Trust region -- 3.5 Proximal methods -- 3.6 Convergence -- 3.7 Conclusion -- 4. Constrained optimization -- Introduction -- 4.1 Classification of methods -- 4.2 Penalization -- 4.3 Reduced gradient -- 4.4 Sequential quadratic programming -- 4.5 Interior point -- 4.6 Augmented Lagrangian -- 4.7 Conclusion -- 5. Linear programming -- Introduction -- 5.1 Simplex -- 5.2 Interior point -- 5.3 Conclusion -- Index -- Bibliography

Sommario/riassunto

This book in two volumes provides an overview of continuous, discrete and functional optimization techniques. This first volume is devoted to continuous optimization, which deals with problems with real variables, without or with constraints. After a reminder of the optimality conditions and their geometrical interpretation, the topics covered are:



-gradient-free algorithms that can be applied to any type of function;-unconstrained algorithms based on Newton-type descent methods;-algorithms with constraints: penalization, primal, dual and primal-dual methods;-linear programming with the simplex method and interior point methods. The emphasis is on understanding the principles rather than on mathematical rigor. Each concept or algorithm is accompanied by a detailed example to help you grasp the main ideas. This book is the result of 30 years of experience and is intended for students, researchers and engineers wishing to acquire a general knowledge in the field of optimization.