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Linear Algebra: A Modern Introduction

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

Given the function f(x) which is used to determine the draft pressure fluctuations
coming from a petroleum refinery furnace where x is the furnace surface
temperature,
f(x) = -2x6
1.6x4 + 12x + 1
Use Newton-Raphson to determine the maximum of this function. Employ initial
guesses of 0 and 1.0, and perform iterations with a stopping criterion of
approximate relative error falling below 1%.

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