509.604 PEOPLE
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| Mouftah, Hussein T. |
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| Dugay, Fabrice |
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| Rettenmeier, Max |
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| Tomasch, Ernst | Graz |
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| Cornaggia, Greta |
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| Palacios-Navarro, Guillermo |
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| Uspenskyi, Borys V. |
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| Khan, Baseem |
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| Fediai, Natalia |
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| Derakhshan, Shadi |
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| Somers, Bart | Eindhoven |
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| Anvari, B. |
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| Kraushaar, Sabine | Vienna |
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| Kehlbacher, Ariane |
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| Das, Raj |
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| Werbińska-Wojciechowska, Sylwia |
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| Brillinger, Markus |
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| Eskandari, Aref |
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| Gulliver, J. |
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| Loft, Shayne |
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| Kud, Bartosz |
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| Matijošius, Jonas | Vilnius |
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| Piontek, Dennis |
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| Kene, Raymond O. |
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| Barbosa, Juliana |
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Cruz Neto, João Xavier
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Publications (7/7 displayed)
- 2024On the Relationship Between the Kurdyka–Łojasiewicz Property and Error Bounds on Hadamard Manifoldscitations
- 2022Strong Convergence of Alternating Projectionscitations
- 2022Combinatorial Convexity in Hadamard Manifolds: Existence for Equilibrium Problemscitations
- 2019Computing Riemannian Center of Mass on Hadamard Manifoldscitations
- 2018Proximal Point Method for Locally Lipschitz Functions in Multiobjective Optimization of Hadamard Manifoldscitations
- 2016Dual Descent Methods as Tension Reduction Systemscitations
- 2016A New Approach to the Proximal Point Method: Convergence on General Riemannian Manifoldscitations
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document
Computing Riemannian Center of Mass on Hadamard Manifolds
Abstract
In this paper, we perform the steepest descent method for computing Riemannian center of mass on Hadamard manifolds. To this end, we extend convergence of the method to the Hadamard setting for continuously differentiable (possible nonconvex) functions which satisfy the Kurdyka–Łojasiewicz property. Some numerical experiments computing L^1 L 1 and L^2 L 2 center of mass in the context of positive definite symmetric matrices are presented using two different stepsize rules.
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