Name: Introduction to Nonsmooth Analysis and Optimization (en Inglés)
SKU: 68420740
Price: 134.62 USD
Availability: InStock
Author: Christian Clason;Tuomo Valkonen

portada Introduction to Nonsmooth Analysis and Optimization (en Inglés)

Introduction to Nonsmooth Analysis and Optimization (en Inglés)

Formato

Libro Físico

Editorial

SIAM - Society for Industrial and Applied Mathematics

Autor

Christian Clason;Tuomo Valkonen

Colección

MOS SIAM Series on Optimization

Año

2026

Idioma

Inglés

N° páginas

447

Encuadernación

Tapa Blanda

ISBN13

9781611978988

Introduction to Nonsmooth Analysis and Optimization (en Inglés)

Christian Clason;Tuomo Valkonen (Autor) · SIAM - Society for Industrial and Applied Mathematics · Tapa Blanda

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Reseña del libro "Introduction to Nonsmooth Analysis and Optimization (en Inglés)"

Explore a rigorous framework for tackling challenges without classical differentiability in imaging, inverse problems, machine learning, and optimal control. Emphasizing infinite-dimensional analysis with advanced nonsmooth calculus tools, it unifies first- and second-order methods, novel results, and practical Julia code.

Functions that are not differentiable in the classical sense have become a central tool in modern mathematical models for imaging, inverse problems, machine learning, and optimal control of differential equations. These models are increasingly formulated in infinite-dimensional function spaces to be independent of problem size and discretization quality. Introduction to Nonsmooth Analysis and Optimization presents a unified and rigorous introduction to the infinite-dimensional analysis and algorithmic solution of nonsmooth optimization problems arising from the above-mentioned models, including the necessary theoretical tools of nonsmooth analysis to state-of-the-art algorithms and their convergence and stability analysis.

Introduction to Nonsmooth Analysis and Optimization offersa thorough examination of analysis and algorithms—first- and second-order methods— in infinite dimensions,a self-contained and accessible introduction to set-valued and variational analysis for optimization problems and includes novel calculus results for relevant situations.Julia code to replicate the numerical results.