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portada Introduction to Nonsmooth Analysis and Optimization
Type
Physical Book
Publisher
Author
Collection
MOS SIAM Series on Optimization
Year
2026
Language
English
Pages
447
Format
Paperback
ISBN13
9781611978988

Introduction to Nonsmooth Analysis and Optimization

Christian Clason;Tuomo Valkonen (Author) · SIAM - Society for Industrial and Applied Mathematics · Paperback

Introduction to Nonsmooth Analysis and Optimization - Christian Clason;Tuomo Valkonen

New Book Imported to Netherlands
Delivery: 22 Sep - 24 Sep Shipping: 14 to 15 business days.
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Synopsis "Introduction to Nonsmooth Analysis and Optimization"

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.

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