Nonsmooth Optimization and Its Applications

• Corporate Author: SpringerLink (Online service)
• Other Authors: Hosseini, Seyedehsomayeh (Editor, http://id.loc.gov/vocabulary/relators/edt), Mordukhovich, Boris S. (Editor, http://id.loc.gov/vocabulary/relators/edt), Uschmajew, André (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: International Series of Numerical Mathematics, 170
• Subjects: Calculus of variations.; Global analysis (Mathematics).; Manifolds (Mathematics).; Numerical analysis.; Operations research.; Management science.; Calculus of Variations and Optimal Control; Optimization.; Global Analysis and Analysis on Manifolds.; Numerical Analysis.; Operations Research, Management Science.

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...

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. .