Abstract
In this work, we design a family of new iterative methods with memory, using some known schemes without memory keeping or increasing its order of convergence. As starting point we use the Ostrowski-Chum bi-parametric family of methods without memory, to design a new bi-parametric family of methods with memory, increasing the original order of convergence without adding new functional evaluations.
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Acknowledgments
This research was partially supported by Ministerio de Economia y Competitividad under grants MTM2014-52016-C2-2-P, Generalitat Valenciana PROMETEO/2016/089 and FONDOCYT, Dominican Republic.
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Cordero, A., Maimó, J.G., Torregrosa, J.R., Vassileva, M.P. (2019). Bi-parametric Family of Methods with Memory Based of Ostrowski-Chun Method. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Finite Difference Methods. Theory and Applications. FDM 2018. Lecture Notes in Computer Science(), vol 11386. Springer, Cham. https://doi.org/10.1007/978-3-030-11539-5_22
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