Since f'(xo) Im(f(xo + ih))/h, consider the following modification of Newton's method with complex step. Ck+1= ^k h f(xk) Im(f(xk+ih))' k = 0, 1, 2, ..., with given xo. Modify your code with Newton's method of problem 4 so as the default value of the derivative df to be the new approximation Im(f(xo + ih))/h.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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How can I implement this question into Newton's Method (with complex steps)?

Since f'(xo) Im(f(xo + ih))/h, consider the following modification of Newton's
method with complex step.
Ck+1= k
f(xk)
'Im(f(xk+ih))'
h
k = 0, 1, 2, ...
with given xo. Modify your code with Newton's method of problem 4 so as the default value
of the derivative df to be the new approximation Im(f(xo + ih))/h.
Transcribed Image Text:Since f'(xo) Im(f(xo + ih))/h, consider the following modification of Newton's method with complex step. Ck+1= k f(xk) 'Im(f(xk+ih))' h k = 0, 1, 2, ... with given xo. Modify your code with Newton's method of problem 4 so as the default value of the derivative df to be the new approximation Im(f(xo + ih))/h.
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