Consider the Fixed Point iteration algorithm defined by the formula zn+1 = 9(In), where g(z) : I – a + 2ae¯². Here a € R is a parameter. (a) Find the fixed point, p. (b) Does there exist a value of a for which the iterations could converge quadratically? If yes, find it and explain your answer.
Consider the Fixed Point iteration algorithm defined by the formula zn+1 = 9(In), where g(z) : I – a + 2ae¯². Here a € R is a parameter. (a) Find the fixed point, p. (b) Does there exist a value of a for which the iterations could converge quadratically? If yes, find it and explain your answer.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 2CEXP
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