Lectures on Nonsmooth Optimization

This book provides an in-depth exploration of nonsmooth optimization, covering foundational algorithms, theoretical insights, and a wide range of applications. Nonsmooth optimization, characterized by nondifferentiable objective functions or constraints, plays a crucial role across various fields, i...

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Bibliografske podrobnosti
Glavni avtor: Jin, Qinian (Author)
Korporativna značnica: SpringerLink (Online service)
Format: Elektronski eKnjiga
Jezik:angleščina
Izdano: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Izdaja:1st ed. 2025.
Serija:Texts in Applied Mathematics, 82
Teme:
Online dostop:https://doi.org/10.1007/978-3-031-91417-1
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Kazalo:
  • Preface
  • Introduction
  • Convex sets and convex functions
  • Subgradient and mirror descent methods
  • Proximal algorithms
  • Karush-Kuhn-Tucker theory and Lagrangian duality
  • ADMM: alternating direction method of multipliers
  • Primal dual splitting algorithms
  • Error bound conditions and linear convergence
  • Optimization with Kurdyka- Lojasiewicz property
  • Semismooth Newton methods
  • Stochastic algorithms
  • References
  • Index.