id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4460	Salih, Zinah; Hassan, Basim; Sulaiman, Barah	A New Secant Type Method with Quadratic-Order Convergence	2022	6	.pdf	application/pdf	1772	129	64	(4) and (5): Θ ′′ (µi)(µ− µi) 2 ∼= Θ(µi)−Θ(µ)− 1 2 Θ ′ (µi)(µ− µi) (6) This results in: Θ ′′ (µi) = Θ(µi)−Θ(µ)− 1 2Θ ′ (µi)(µ− µi) (µ− µi)2 (7) The preceding equation may be simplified by substituting µi−1 for µ: Θ ′′ (µi) = Θ(µi)−Θ(µi−1)− 1 2Θ ′ (µi)(µi−1 − µi) (µi−1 − µi)2 (8) Z. F. Salih, B. A. Hassan, B. M. Sulaiman / Eur. (2), we get: µi+1 = µi − Θ ′ (µi)(µi−1 − µi) 2 Θ(µi)−Θ(µi−1)− 1 2Θ ′(µi)(µi−1 − µi) (9) which is the new secant type method.	cache/ejpam-4460.pdf	txt/ejpam-4460.txt