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

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 Bürgisser and Cucker (2013).

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Bibliographic Details
Published in:Applied mathematics letters 2018-04, Vol.78, p.42-50
Main Authors: Breiding, Paul, Vannieuwenhoven, Nick
Format: Article
Language:English
Subjects:
Convergence analysis
CPD
Geometric condition number
Riemannian Gauss–Newton method
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Description
Summary: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 Bürgisser and Cucker (2013).
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2017.10.009