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Nonsmooth Optimization and Its Applications
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Catalogue Information
Field name
Details
Dewey Class
515.64
Title
Nonsmooth Optimization and Its Applications ([EBook]) / edited by Seyedehsomayeh Hosseini, Boris S. Mordukhovich, André Uschmajew.
Added Personal Name
Hosseini, Seyedehsomayeh
Mordukhovich, Boris S.
Uschmajew, André
Other name(s)
SpringerLink (Online service)
Publication
Cham : Birkhäuser , 2019.
Physical Details
VII, 149 pages, 22 illus. in color. : online resource.
Series
International series of numerical mathematics
; 170
ISBN
9783030113704
Summary Note
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 the problem’s scale or simplify its structure. Accordingly, the field of nonsmooth optimization is an important area of mathematical programming that is based on by now classical concepts of variational analysis and generalized derivatives, and has developed a rich and sophisticated set of mathematical tools at the intersection of theory and practice. This special issue of ISNM is an outcome of the workshop "Nonsmooth Optimization and its Applications," which was held from May 15 to 19, 2017 at the Hausdorff Center for Mathematics, University of Bonn. The six research articles gathered here focus on recent results that highlight different aspects of nonsmooth and variational analysis, optimization methods, their convergence theory and applications.:
Contents note
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. .
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-11370-4
Links to Related Works
Subject References:
Calculus of variations
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Calculus of variations and optimal control; optimization
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Global Analysis and Analysis on Manifolds
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Global analysis (Mathematics)
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Management science
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Manifolds (Mathematics)
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Numerical Analysis
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Operations research
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Operations Research, Management Science
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Authors:
editor
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Hosseini, Seyedehsomayeh
.
Mordukhovich, Boris S.
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Uschmajew, André
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Corporate Authors:
SpringerLink (Online service)
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Series:
International series of numerical mathematics
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Classification:
515.64
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515.64 (DDC 23)
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