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Superquadratic convergence of a Hummel-Seebeck type method
Convergencia supercuadrática de un método tipo Hummel-Seebeck
Keywords:
Set-valued mappings, M-pseudo-Lipschitzness, superquadratic convergence, Holder-type condition (en)Aplicaciones conjunto-valoradas, pseudo-Lipschitz, convergencia supercuadrática, condición de tipo Holder (es)
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Abstract. The cubic convergence of a method inspired by a Hummel and Seebeck for solving variational inclusions, has been showed when the second order Fréchet derivative of some function / satisfies a Lipschitz condition. Here, we prove the superquadratic convergence of this method whenever this second order Fréchet derivative satisfies a Holder condition.
La convergencia cúbica de un método de Hummel y Seebeck para resolver inclusiones variacionales ha sido probado cuando la derivada de Fréchet de segundo orden de alguna función / satisface una condición de Lipschitz. Aquí probamos la convergencia supercuadrática de este método siempre que esta derivada de Fréchet de segundo orden satisfaga una condición de Holder.
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