International Series of Numerical Mathematics

Nonsmooth Optimization and Its Applications

Editors: Hosseini, Seyedehsomayeh, Mordukhovich, Boris S., Uschmajew, André (Eds.)

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  • Highlights different aspects of nonsmooth and variational analysis
  • Presents optimization methods and their convergence theory and applications
  • Six research articles gathered focus on recent results
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  • ISBN 978-3-030-11370-4
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Hardcover $109.99
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About this book

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.

Table of contents (6 chapters)

Table of contents (6 chapters)
  • A Collection of Nonsmooth Riemannian Optimization Problems

    Pages 1-15

    Absil, P.-A. (et al.)

  • An Approximate ADMM for Solving Linearly Constrained Nonsmooth Optimization Problems with Two Blocks of Variables

    Pages 17-44

    Bagirov, Adil M. (et al.)

  • Tangent and Normal Cones for Low-Rank Matrices

    Pages 45-53

    Hosseini, Seyedehsomayeh (et al.)

  • Subdifferential Enlargements and Continuity Properties of the $$\mathcal { {VU}}$$ -Decomposition in Convex Optimization

    Pages 55-87

    Liu, Shuai (et al.)

  • Proximal Mappings and Moreau Envelopes of Single-Variable Convex Piecewise Cubic Functions and Multivariable Gauge Functions

    Pages 89-130

    Planiden, C. (et al.)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-030-11370-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-030-11369-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Nonsmooth Optimization and Its Applications
Editors
  • Seyedehsomayeh Hosseini
  • Boris S. Mordukhovich
  • André Uschmajew
Series Title
International Series of Numerical Mathematics
Series Volume
170
Copyright
2019
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-11370-4
DOI
10.1007/978-3-030-11370-4
Hardcover ISBN
978-3-030-11369-8
Series ISSN
0373-3149
Edition Number
1
Number of Pages
VII, 149
Number of Illustrations
22 illustrations in colour
Topics