Optimization Methods on Riemannian Manifolds and Their Application to Shape Space
نویسندگان
چکیده
We extend the scope of analysis for linesearch optimization algorithms on (possibly infinitedimensional) 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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ورودعنوان ژورنال:
- SIAM Journal on Optimization
دوره 22 شماره
صفحات -
تاریخ انتشار 2012