Nonsmooth Optimization and Its Applications

 
 
Birkhäuser (Verlag)
  • erschienen am 16. April 2019
 
  • Buch
  • |
  • Hardcover
  • |
  • VII, 149 Seiten
978-3-030-11369-8 (ISBN)
 
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 volume 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.
Book
1st ed. 2019
  • Englisch
  • Cham
  • |
  • Schweiz
Springer International Publishing
  • Für Beruf und Forschung
  • 22 farbige Abbildungen
  • |
  • Bibliographie
  • Höhe: 241 mm
  • |
  • Breite: 159 mm
  • |
  • Dicke: 17 mm
  • 388 gr
978-3-030-11369-8 (9783030113698)
10.1007/978-3-030-11370-4
weitere Ausgaben werden ermittelt
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.
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.
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