Introduction to Nonlinear Optimization: Theory, Algorithms, and Applications with Python and MATLAB - Brossura

Amir Beck (author)

 
9781611977615: Introduction to Nonlinear Optimization: Theory, Algorithms, and Applications with Python and MATLAB
Brossura
ISBN 10: 1611977614 ISBN 13: 9781611977615
Casa editrice: SIAM - Society for Industrial and Applied Mathematics, 2023

Sinossi

Built on the framework of the successful first edition, this book serves as a modern introduction to the field of optimization. The author's objective is to provide the foundations of theory and algorithms of nonlinear optimization as well as to present a variety of applications from diverse areas of applied sciences.

Introduction to Nonlinear Optimization gradually yet rigorously builds connections between theory, algorithms, applications, and actual implementation. The book contains several topics not typically included in optimization books, such as optimality conditions in sparsity constrained optimization, hidden convexity, and total least squares. Readers will discover a wide array of applications such as circle fitting, Chebyshev center, the Fermat–Weber problem, denoising, clustering, total least squares, and orthogonal regression. These applications are studied both theoretically and algorithmically, illustrating concepts such as duality. Python and MATLAB programs are used to show how the theory can be implemented. The extremely popular CVX toolbox (MATLAB) and CVXPY module (Python) are described and used.

More than 250 theoretical, algorithmic, and numerical exercises enhance the reader's understanding of the topics. (More than 70 of the exercises provide detailed solutions, and many others are provided with final answers.) The theoretical and algorithmic topics are illustrated by Python and MATLAB examples.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Editore
SIAM - Society for Industrial and Applied Mathematics
Data di pubblicazione
2023
Lingua
Inglese
ISBN 10 
1611977614
ISBN 13 
9781611977615
Rilegatura
Copertina flessibile
Numero edizione
2
Numero di pagine
354
Contatto del produttore
non disponibile
Persona responsabile
non disponibile