Jacobi Iteration Method Example

Jacobi Iteration Method Example | Numerical Methods

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Күн бұрын

Here is a Jacobi iteration method example solved by hand. Jacobi Iteration is an iterative numerical method that can be used to easily solve non-singular linear matrices. In the next video, I will solve some an example in excel using the Jacobi Iteration Method.
Jacobi Iteration Method Theory Video: • Jacobi Iteration Metho...
This timeline is meant to help you better understand how to solve a system of linear equations using the Jacobi iteration method:
0:00 Introduction.
0:18 Requirements for Jacobi Iteration Method.
0:25 Diagonal dominance in iterative numerical methods.
0:56 Checking for diagonal dominance.
1:32 Jacobi Iteration Method Example.
3:36 Validating Jacobi Iteration Method Results.
4:31 Outro
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This video is part of our Numerical Methods course. Numerical methods is about solving math problems through approximating the solution of problems that would be difficult or impossible to solve analytically. In this playlist we will cover topics such as solving systems of linear equations, solving systems of non-linear equations, numerical integration, numerical derivatives, etc..

Пікірлер: 26

@fahadkhan6787 3 жыл бұрын

1/14 is 0.0714 i think theres a typo in the first iteration

@StudySessionYT 3 жыл бұрын

Great catch Fahad, thank you! I have pinned your comment for everyone to see!

@JallahBomber 2 жыл бұрын

Helpful, thanks!

@a-6126 3 жыл бұрын

That's very very very helpful. thank you!!❤️

@StudySessionYT 3 жыл бұрын

Thank you! I hope you continue to follow our Numerical Methods course, more videos coming soon!

@huayangwong418 2 жыл бұрын

Thanks sir, very helpful.

@klaidasrunele Жыл бұрын

amazing video!

@Hiddennnnnnnnn 3 ай бұрын

Thank you so much. Very useful

@Axu_02 2 жыл бұрын

Thank you!

@gioplaysgames9057 3 жыл бұрын

you should be the one who have my tuition fee for my course hahaha

@StudySessionYT 3 жыл бұрын

Thanks Gio! We do have a patreon, but the goal of my channel is just to help students learn concisely and for free :)

@youngmocker7122 Жыл бұрын

you're amazing

@157abhishekkumar5 3 жыл бұрын

Amazing explanation ❤️

@StudySessionYT 3 жыл бұрын

Thank you so much for the kind comment!

@jephtarhlakuinjeya4679 2 жыл бұрын

good lecture

@jevanerin2559 Жыл бұрын

Great explanation. Thanks

@StudySessionYT Жыл бұрын

Thanks for watching!

@DJosh-cs5vx 2 жыл бұрын

Thanks

@oldlaptop6673 2 жыл бұрын

sir, what is the typer of error you wrote?

@gwynbleidd_doethbleidd 6 ай бұрын

Truncation error

@pumla5481 2 жыл бұрын

when calculation the iteration values from the first table it seems like your calculation is wrong. I do not find the same digits and non of my friends are

@m2xm 2 жыл бұрын

yes i think so too

@samramzi4639 7 ай бұрын

import numpy as np def gauss_elimination(a_matrix,b_matrix): #adding some contingencies to prevent future problems if a_matrix.shape[0] != a_matrix.shape[1]: print("ERROR: Squarematrix not given!") return if b_matrix.shape[1] > 1 or b_matrix.shape[0] != a_matrix.shape[0]: print("ERROR: Constant vector incorrectly sized") return #initialization of nexessary variables n=len(b_matrix) m=n-1 i=0 j=i-1 x=np.zeros(n) new_line="/n" #create our augmented matrix throug Numpys concatenate feature augmented_matrix = np.concatenate((a_matrix, b_matrix,), axis=1, dtype=float) print(f"the initial augmented matrix is: {new_line}{augmented_matrix}") print("solving for the upper-triangular matrix:") #applying gauss elimination: while i