Resumen
En este artículo presentamos una generalización del clásico método de Newton-Kantorovich, el cual
se usa frecuentemente para aproximar una solución de una ecuación no lineal en un espacio de
Banach. Los métodos que aquí sugerimos constituyen una mejora del método iterativo de Newton.
Estos nuevos esquemas se derivan a partir de la fórmula integral dada en Argyros (2007) (pág. 33)
y en Kelley (1995) (pág. 65), y los esquemas numéricos clásicos de integración de funciones. Se
presentan varios ejemplos que ilustran cómo el orden de convergencia experimental de los nuevos
métodos es cúbico. Por último, cabe recordar que estos esquemas se utilizan para encontrar la
solución numérica de una ecuación no lineal en una y dos dimensiones.
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