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A flexible framework for cubic regularization algorithms for non-convex optimization in function space

Title data

Schiela, Anton:
A flexible framework for cubic regularization algorithms for non-convex optimization in function space.
Institut für Mathematik, Technische Universität Hamburg-Harburg
Hamburg-Harburg, Germany , 2014 . - 26 p. - (Bericht / Technische Universität Hamburg-Harburg, Institut für Mathematik ; 183 )

Official URL: Volltext

Abstract in another language

We propose a cubic regularization algorithm that is constructed to deal with non-convex minimization problems in function space. It allows for a flexible choice of the regularization term and thus accounts for the fact that in such problems one often has to deal with more than one norm. Global and local convergence results are established in a general framework.

Further data

Item Type: Preprint, postprint, working paper, discussion paper
Keywords: non-convex optimization; optimization in function space; cubic regularization
Subject classification: Mathematics Subject Classification Code: 49M37 (90C30)
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics (Applied Mathematics) > Chair Applied Mathematics (Applied Mathematics) - Univ.-Prof. Dr. Anton Schiela
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics (Applied Mathematics)
Profile Fields
Profile Fields > Advanced Fields
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 19 Mar 2015 09:11
Last Modified: 13 Mar 2019 14:03
URI: https://eref.uni-bayreuth.de/id/eprint/8526