Download Book Practical Nonconvex Nonsmooth Optimization - E-Book - Original PDF

Original PDF by Frank E. Curtis, Daniel P. Robinson
Information
Format: Original PDF Language: English Publisher: SIAM - Society for Industrial and Applied Mathematics Publication Date of the Electronic Edition: 2025
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ISBN: 9781611978582, 9781611978599
Description
This book provides a clear and accessible introduction to an important class of problems in mathematical optimization­: those involving continuous functions that may be nonconvex, nonsmooth, or both. The authors begin with an intuitive treatment of theoretical foundations, including properties of nonconvex and nonsmooth functions and conditions for optimality. They then offer a broad overview of the most effective and efficient algorithms for solving such problems, with a focus on practical applications in areas such as control systems, signal processing, and data science. Practical Nonconvex Nonsmooth Optimization focuses on problems in finite-dimensional real-vector spaces, avoiding the need for a background in functional analysis. It introduces concepts through nonconvex smooth optimization, making the material more accessible to those without extensive experience in convex analysis. A conversational tone is used throughout, with technical proofs placed at the end of each chapter to help readers understand the core ideas before engaging with detailed arguments.
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