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MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
69/2017

Convergence analysis of Riemannian Gauss–Newton methods and its connection with the geometric condition number

Paul Breiding and Nick Vannieuwenhoven

Abstract

We obtain estimates of the multiplicative constants appearing in local convergence results of the Riemannian Gauss–Newton method for least squares problems on manifolds and relate them to the geometric condition number of [P. Buergisser and F. Cucker, Condition: The Geometry of Numerical Algorithms, 2013].

Received:
Oct 18, 2017
Published:
Oct 24, 2017

Related publications

inJournal
2018 Repository Open Access
Paul Breiding and Nick Vannieuwenhoven

Convergence analysis of Riemannian Gauss-Newton methods and its connection with the geometric condition number

In: Applied mathematics letters, 78 (2018), pp. 42-50