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Nonsmooth Optimization and Its Applications

Since nonsmooth optimization problems arise in a diverse range of real-world applications, the potential impact of efficient methods for solving such problems is undeniable. Even solving difficult smooth problems sometimes requires the use of nonsmooth optimization methods, in order to either reduce...

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Bibliographic Details
Other Authors: Hosseini, Seyedehsomayeh (Editor), Mordukhovich, Boris S. (Editor), Uschmajew, André (Editor)
Format: eBook
Language:English
Published: Cham Birkhäuser 2019, 2019
Edition:1st ed. 2019
Series:International Series of Numerical Mathematics
Subjects:
Operations Research, Management Science
Operations Research
Numerical Analysis
Management Science
Calculus Of Variations And Optimization
Manifolds (mathematics)
Mathematical Optimization
Global Analysis (mathematics)
Global Analysis And Analysis On Manifolds
Calculus Of Variations
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • A Collection of Nonsmooth Riemannian Optimization Problems
  • An approximate ADMM for solving linearly constrained nonsmooth problems with two blocks of variables
  • Tangent and normal cones for low-rank matrices
  • Subdifferential enlargements and continuity properties of the VU-decomposition in convex optimization
  • Proximal mappings and Moreau envelopes of single-variable convex piecewise cubic functions and multivariable gauge functions
  • Newton-like dynamics associated to nonconvex optimization problems.

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