Gauss-Seidel Method Example

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Күн бұрын

Gauss-Seidel Method is an iterative numerical method that can be used to easily solve non-singular linear matrices. In this video we go over the theory behind how to solve a matrix with Gauss-Seidel Method. In the next video however, I will solve some practice problems using the Gauss-Seidel iterative numerical method.
Gauss-Seidel Method Procedure: • Gauss-Seidel Method | ...
This timeline is meant to help you better understand the theory behind the Gauss-Seidel Method:
0:00 Introduction.
0:18 Requirements for Gauss-Seidel Method.
0:26 Diagonal dominance in iterative numerical methods.
0:51 Checking for diagonal dominance.
1:30 Gauss-Seidel Method Example.
4:05 Validating Gauss-Seidel Method Results.
5:16 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..
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Пікірлер: 19

@washiburr9876 2 жыл бұрын

Holy shit. This and the Jacobi method video are fantastic. Thank you so much for your work.

@duntahlawrence1335 Жыл бұрын

thanks a million Sir, you saved my life😎😎

@LukasLoki-im8eo Жыл бұрын

Really well explained

@rcb7555 3 жыл бұрын

thanks dude!

@juancabrera8181 2 жыл бұрын

Great Job!

@StudySessionYT 2 жыл бұрын

Thank you very much, Im glad you found the video helpful!

@morezco 3 жыл бұрын

Thanks for the explanation! You forgot to put the link you mentioned in the description.

@StudySessionYT 3 жыл бұрын

Thanks for letting me know! The video link is in the description now :)! Im glad you found the video helpful!

@AshishSingh-753 3 жыл бұрын

Thanks

@DASmallWorlds Жыл бұрын

Excellent video series. Pardon my asking, but is there or do you intend to post a few videos on non-linear root finding methods like the expanded version of Newton's method? Thank you!

@StudySessionYT Жыл бұрын

We have non-linear root finding videos in this playlist, yes! Here is a link to the playlist! Numerical Methods Course: kzfaq.info/sun/PLDea8VeK4MUTOBXLpvx_WKtVrMkojEh52

@rahalabdelhak5370 2 жыл бұрын

In my case , they have gave me an initial temperature 20°C so should I take the initial value 20 or as 0 !!? I'm waiting for your answer pleasee

@StudySessionYT 2 жыл бұрын

Use the initial value given to you, so 20!

@paulschulze1293 8 ай бұрын

For the Gauss-Seidel method the matrix doesn‘t have to be ideally diagonally dominant. The iteration is also converging in the Matrix is symmetric positive definite.