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

Paul Breiding and Nick Vannieuwenhoven

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Submission date: 18. Oct. 2017
Pages: 10
published in: Applied mathematics letters, 78 (2018), p. 42-50 
DOI number (of the published article): 10.1016/j.aml.2017.10.009
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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].