6533b836fe1ef96bd12a12be

RESEARCH PRODUCT

Efficiency and Stability of a Family of Iterative Schemes for Solving Nonlinear Equations

Juan R. TorregrosaIvan GiménezAlicia Cordero

subject

Nonlinear systemComputer scienceIterative methodConvergence (routing)Stability (learning theory)Applied mathematicsConstruct (python library)Numerical tests

description

In this paper, we construct a family of iterative methods with memory from one without memory, analyzing their convergence and stability. The main aim of this manuscript yields in the advantage that the use of real multidimensional dynamics gives us to decide among the different classes designed and, afterwards, to select its most stable members. Some numerical tests confirm the theoretical results.

yearjournalcountryeditionlanguage
2019-01-01
https://doi.org/10.1007/978-3-030-11539-5_19