Approaching Nonsmooth Nonconvex Optimization Problems Through First Order Dynamical Systems with Hidden Acceleration and Hessian Driven Damping Terms

Radu Ioan Bot; Ernoe Robert Csetnek

doi:10.1007/s11228-017-0411-1

Approaching Nonsmooth Nonconvex Optimization Problems Through First Order Dynamical Systems with Hidden Acceleration and Hessian Driven Damping Terms

Radu Ioan Bot (Corresponding author), Ernoe Robert Csetnek

Department of Mathematics

Publications: Contribution to journal › Article › Peer Reviewed

Original language	English
Pages (from-to)	227-245
Number of pages	19
Journal	Set-Valued and Variational Analysis
Volume	26
Issue number	2
DOIs	https://doi.org/10.1007/s11228-017-0411-1
Publication status	Published - Jun 2018

Funding

Open access funding provided by Austrian Science Fund (FWF). The authors are thankful to two anonymous reviewers for comments and remarks which improved the presentation of the paper.

Austrian Fields of Science 2012

101002 Analysis
101016 Optimisation
101027 Dynamical systems

Keywords

Dynamical systems
Lyapunov analysis
Nonsmooth optimization
Limiting subdifferential
Kurdyka-Lojasiewicz property
MONOTONE INCLUSIONS
PROXIMAL ALGORITHM
LOJASIEWICZ INEQUALITY
CONVEX MINIMIZATION
Kurdyka-Łojasiewicz property

Access to Document

10.1007/s11228-017-0411-1Licence: CC BY 4.0

http://phaidra.univie.ac.at/o:715265Licence: CC BY 4.0

Cite this

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title = "Approaching Nonsmooth Nonconvex Optimization Problems Through First Order Dynamical Systems with Hidden Acceleration and Hessian Driven Damping Terms",

keywords = "Dynamical systems, Lyapunov analysis, Nonsmooth optimization, Limiting subdifferential, Kurdyka-Lojasiewicz property, MONOTONE INCLUSIONS, PROXIMAL ALGORITHM, LOJASIEWICZ INEQUALITY, CONVEX MINIMIZATION, Kurdyka-{\L}ojasiewicz property",

author = "Bot, \{Radu Ioan\} and Csetnek, \{Ernoe Robert\}",

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year = "2018",

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doi = "10.1007/s11228-017-0411-1",

language = "English",

volume = "26",

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issn = "1877-0533",

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T1 - Approaching Nonsmooth Nonconvex Optimization Problems Through First Order Dynamical Systems with Hidden Acceleration and Hessian Driven Damping Terms

AU - Bot, Radu Ioan

AU - Csetnek, Ernoe Robert

PY - 2018/6

Y1 - 2018/6

KW - Dynamical systems

KW - Lyapunov analysis

KW - Nonsmooth optimization

KW - Limiting subdifferential

KW - Kurdyka-Lojasiewicz property

KW - MONOTONE INCLUSIONS

KW - PROXIMAL ALGORITHM

KW - LOJASIEWICZ INEQUALITY

KW - CONVEX MINIMIZATION

KW - Kurdyka-Łojasiewicz property

UR - https://www.scopus.com/pages/publications/85047274292

U2 - 10.1007/s11228-017-0411-1

DO - 10.1007/s11228-017-0411-1

M3 - Article

SN - 1877-0533

VL - 26

SP - 227

EP - 245

JO - Set-Valued and Variational Analysis

JF - Set-Valued and Variational Analysis

IS - 2

ER -

Approaching Nonsmooth Nonconvex Optimization Problems Through First Order Dynamical Systems with Hidden Acceleration and Hessian Driven Damping Terms

Funding

Austrian Fields of Science 2012

Keywords

Access to Document

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