id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ma-172	Argyros, oannis K.; Regmi, Samundra; John, Jinny Ann ; Jayaraman, Jayakumar	Efficient Derivative-Free Class of Seventh Order Method for Non-differentiable Equations	2023	12	.pdf	application/pdf	4261	328	80	≤ 1 1− ϕ0(δ1(‖xn − ξ‖), δ2(‖xn − ξ‖)) , yn − ξ = A−1n (An − [xn, ξ;G])(xn − ξ), ‖yn − ξ‖ ≤ ϕ(‖xn − ξ‖, ‖wn − ξ‖, ‖sn − ξ‖)‖xn − ξ‖ 1− ϕ0(δ1(‖xn − ξ‖), δ2(‖xn − ξ‖)) ≤ h1(‖xn − ξ‖)‖xn − ξ‖ ≤ ‖xn − ξ‖ < r. Similarly, ‖zn − ξ‖ ≤ ϕ(‖yn − ξ‖, ‖wn − ξ‖, ‖sn − ξ‖)‖yn − ξ‖ 1− ϕ0(δ1(‖xn − ξ‖), δ2(‖xn − ξ‖)) ≤ h2(‖xn − ξ‖)‖xn − ξ‖ ≤ ‖xn − ξ‖, xn+1 − ξ = zn − ξ − A−1n G(zn)− [(p + q + r + d − 1)I + (q + 2r + 3d)(A−1n	cache/ma-172.pdf	txt/ma-172.txt
