Practical Nonconvex Nonsmooth Optimization (Paperback)

Frank E. Curtis

ISBN 10: 1611978580 / ISBN 13: 9781611978582

Published by Society for Industrial & Applied Mathematics,U.S., New York, 2025

About this Item

Paperback. This book addresses an important class of problems in the field of mathematical optimization those involving nonconvex and/or nonsmooth continuous functions. The authors introduce the theoretical foundations of nonconvex nonsmooth functions and discuss optimality conditions for optimization problems involving such functions. They also provide a wide-ranging review of the foundations underlying the most effective and efficient algorithms for solving nonconvex nonsmooth optimization problems. This challenging class of problems has applications in areas such as control systems, signal processing, and data science. In Practical Nonconvex Nonsmooth Optimization the authorsdefine problems over finite-dimensional real-vector spaces, so readers do not need an extensive background in functional analysis,use nonconvex smooth optimization as a starting point rather than convex optimization, making it easier for those who do not have an extensive background in convex analysis and optimization, and employ a conversational style and put long technical proofs at the end of each chapter so that the main ideas are understood before looking into the details of long, technical proofs. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9781611978582

Bibliographic Details

• Title: Practical Nonconvex Nonsmooth Optimization (Paperback)
• Publisher: Society for Industrial & Applied Mathematics,U.S., New York
• Publication Date: 2025
• Language: English
• ISBN 10: 1611978580
• ISBN 13: 9781611978582
• Binding: Paperback
• Condition: new

About this title

Synopsis

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.

About the Author

Frank E. Curtis is a professor in the Department of Industrial and Systems Engineering at Lehigh University. He is a recipient of an Early Career Award from the Advanced Scientific Computing Research program of the U.S. Department of Energy, the INFORMS Computing Society Prize, and the SIAM/MOS Lagrange Prize in Continuous Optimization. He is an area editor for Continuous Optimization for the journals Mathematics of Operations Research and Mathematical Programming Computation and an associate editor for several journals, including Mathematical Programming, SIAM Journal on Optimization, Operations Research, IMA Journal of Numerical Analysis, and INFORMS Journal on Optimization.