Question: . The speed at which the sequence generated by an iterative method converges is called the methods ORDER of convergence. There are many types of

. The speed at which the sequence generated by an iterative method converges is called the methods ORDER of convergence. There are many types of orders of convergence: linear, su- perlinear, sublinear, quadratic, cubic, and so on. Discuss how a linearly convergent sequence could be accelerated. . Show that the sequence {Pn}, for Pn = 12, converges sublinearly to p = 0, in that lim Pn+1 - pl = 0 for a > 1 n- + 00 Pn - pla and that there doest not exist a 0

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