The function ƒ(x)=x' – 2x - 4 has a root at x = 2, write one re-arrangement of the form x1 = g(x„) that will converges to that root. Show geometrically, analytically n+1 and computationally that the re-arrangement converges to the root.

The function ƒ(x)=x' – 2x - 4 has a root at x = 2, write one re-arrangement of the form x1 = g(x„) that will converges to that root. Show geometrically, analytically n+1 and computationally that the re-arrangement converges to the root.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.5: Iterative Methods For Solving Linear Systems

Problem 20EQ

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Question

The function f(x) = x' – 2x – 4 has a root at x = 2, write one re-arrangement of the
form x41 = g(x,„) that will converges to that root. Show geometrically, analytically
and computationally that the re-arrangement converges to the root.

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