Convex Optimization with Computational Errors

This book studies approximate solutions of optimization problems in the presence of computational errors. It contains a number of results on the convergence behavior of algorithms in a Hilbert space, which are well known as important tools for solving optimization problems. The research presented co...

Full description

Bibliographic Details
Main Author: Zaslavski, Alexander J.
Format: eBook
Language:English
Published: Cham Springer International Publishing 2020, 2020
Edition:1st ed. 2020
Series:Springer Optimization and Its Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • 1. Introduction
  • 2. Subgradient Projection Algorithm
  • 3. The Mirror Descent Algorithm
  • 4. Gradient Algorithm with a Smooth Objective Function
  • 5. An Extension of the Gradient Algorithm
  • 6. Continuous Subgradient Method
  • 7. An optimization problems with a composite objective function
  • 8. A zero-sum game with two-players
  • 9. PDA-based method for convex optimization
  • 10 Minimization of quasiconvex functions.-11. Minimization of sharp weakly convex functions.-12. A Projected Subgradient Method for Nonsmooth Problems
  • References. -Index.