Question

Prove experimentally (with an example function) that the secant method is of order (of convergence) (1+sqrt(5))/2.

Answer 1

The exponent 1 cout due to a typo. As you almost correctly stated the orderint rede) Convergence of is determined by Ek+1 u for some non zero u. (If u could be zero, the Condition would be fulfilled for all a less than a equal to the order of convergence) Se from definition, order Convergence in de(+15)/2 x

comedy stated the oder inet vode) Convergence of is determined by Ek+ kta & for some non zero a. (If u could be zao, the Condition would be fulfilled for all a lest than a equal to the order of tormergence) af from definition, order Convergence in d = (1415)/2 x 18 if H68 It-extil / t- sex Conserges ta non zero constant, which undeed it appear to do