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New mono- and biaccelerator iterative methods with memory for nonlinear equations - MaRDI portal

New mono- and biaccelerator iterative methods with memory for nonlinear equations (Q1724774)

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scientific article; zbMATH DE number 7022912
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New mono- and biaccelerator iterative methods with memory for nonlinear equations
scientific article; zbMATH DE number 7022912

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    New mono- and biaccelerator iterative methods with memory for nonlinear equations (English)
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    14 February 2019
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    Summary: Acceleration of convergence is discussed for some families of iterative methods in order to solve scalar nonlinear equations. In fact, we construct mono- and biparametric methods with memory and study their orders. It is shown that the convergence orders 12 and 14 can be attained using only 4 functional evaluations, which provides high computational efficiency indices. Some illustrations will also be given to reverify the theoretical discussions.
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