Newton–Raphson Method - Numerical Root Finding Methods in Python and MATLAB

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This series of video tutorials covers the numerical methods for Root Finding (Solving Algebraic Equations) from theory to implementation. In this course, three methods are reviewed and implemented using Python and MATLAB from scratch.

At first, two interval-based methods, namely Bisection method and Secant method, are reviewed and implemented. Then, a point-based method which is knowns as Newton's method for root finding, a.k.a. Newton–Raphson method, is reviewed and implemented. This course is instructed by Dr. Mostapha Kalami Heris, who has years of practical work and active teaching in the field of programming, mathematics, control engineering and computational intelligence.

By the end of this course you will be able to know about the fundamental theory of this root finding methods and implementing them using Python and MATLAB programming languages.

Topics covered in this part are listed below:

● Introduction to Newton–Raphson Method
● Implementation of Newton–Raphson Method in Python
● Implementation of Newton–Raphson Method in MATLAB

Other parts of this video tutorial series are available via following links:

Part 3 — Bisection Method in Python and MATLAB: [Current Part]

Instructor: Mostapha Kalami Heris
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I really like the way you explain .I mean it's much clearer than my teacher's explanation. Thank you very much!

avenir
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I already missed the lessen about root finding and didn't know how to write a program for it. But you gave me both. Tnx a lot!!

abolghasem
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Yarpiz, congratulations on the amazing content. I really enjoy your page.. I would kindly ask you to continue this series and if possible help us with the Levenberg-Marquardt algorithm. From what I understand this would be the next stage. Best regards

ruangomes
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Is there any lecture for regula falsi method?

zoyaseher
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Hi, your teching method is amasing, i hope that your cod teching would be continue and dominated

sigmasilant
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Golden section method would also be great! :) anyway thanks!!!!

markamotor
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<ROOT 2 계산: 나의 초간단 방법(My Method)>
r(2) < a 에서 우변으로 이항하면 0 < a - r(2) 양변 제곱하면 0 < a^2 - 2a*r(2) + 2
2a * r(2) < (a^2 + 2)
r(2) < (a^2 + 2) / 2a 끝!!! <- Newton-Raphson Method에서 구한 결과와 같음.

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