method of successive approximations
raveš-e nazdinešhâ-ye payâpey
Fr.: méthode d'approximations successives
The solution of an equation or by proceeding from an initial approximation to a series of repeated trial solutions, each depending upon the immediately preceding approximation, in such a manner that the discrepancy between the newest estimated solution and the true solution is systematically reduced.
Following in order or in uninterrupted sequence; e.g. → method of successive approximations.
M.E. from M.L. successivus, from successus, p.p. of succedere "come after, go near to," from → sub- "next to, after" + cedere "to go, move."
Peyâpey "successive," from pey "after; step," related to pâ "foot" (Mid.Pers. pâd, pây, Av. pad-, Skt. pat, Gk. pos, gen. podos, L. pes, gen. pedis, P.Gmc. *fot, E. foot, Ger. Fuss, Fr. pied; PIE *pod-/*ped-) + -â- epenthetic vowel + pey, as explained.