Journal
SIAM JOURNAL ON OPTIMIZATION
Volume 22, Issue 2, Pages 596-627Publisher
SIAM PUBLICATIONS
DOI: 10.1137/11082885X
Keywords
Riemannian optimization; BFGS quasi-Newton; Fletcher-Reeves conjugate gradient; shape space
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Funding
- Austrian Science Fund (FWF) via the SFB Mathematical Optimization and Applications in Biomedical Sciences
- Austrian Science Fund (FWF) [W1244] Funding Source: Austrian Science Fund (FWF)
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We extend the scope of analysis for linesearch optimization algorithms on (possibly infinite-dimensional) Riemannian manifolds to the convergence analysis of the BFGS quasi-Newton scheme and the Fletcher-Reeves conjugate gradient iteration. Numerical implementations for exemplary problems in shape spaces show the practical applicability of these methods.
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