Jacobi's Iterations for Linear Equations | Programming Numerical Methods in MATLAB

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In this tutorial, the procedure, algorithm and MATLAB coding steps of Jacobi's method are explained by example. The property of the diagonal dominance property of a system of linear equations is discussed.
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[@mechtutorcom]

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[@Adam-w4b]

thanks for making this topic easier ❤

[@joserobertopacheco298]

Excellent and complete explanation. Thank you, sir.

[@sircraigli1003]

Bless you for this🙏🏾

[@theophiluskwofie6323]

Strict row diagonal dominance means that for each row, the absolute value of the diagonal entry is greater than the sum of absolute values of other entries. If this is the definition, then I think the matrix you used in your illustration is not diagonally dominant. I stand to be corrected.

[@brunafreire6230]

Awesome! Thank you so much from Brazil!

[@joserobertopacheco298]

Também achei, Bruna Freire.

[@l.s.g9372]

very helpful

[@simeonmeshackimologie506]

Thanks for this video

[@MirGlobalAcademy]

Good Explanation

[@mayankshetty3891]

Very well explained

[@honzapodavka1658]

Thanks, you are a life saver !!

[@amansinha4563]

Thank you soo much ! Your videos were very helpful

[@aminibrahim6520]

A very good video which is proving very useful. Thank you.

[@sukranochani5764]

thanks 👍👍👍👍

[@Adhuripuri]

Very lucid explanation! Thank you Sir

[@NorLawNorDuty]

Thank you!

[@robertkandagor8740]

Very helpful

[@chokopola8664]

thanks a ton

[@muhammadmoinuddin7201]

Good Work

[@ryanc.segarra5883]

'iter' undefined plss helppppp

[@baharyilmaz9737]

if you change "iter" to "iteration", it works

[@GuitarBeetle]

Thank You!!

[@mohammadhelfi693]

very very impressive sir thank you sooooooo much

[@meriemhadidallah4566]

thank youuuu , you're the besstttt

[@harsharajendran41088]

hello could you do it for newton raphson's method ??

[@salilchawla198]

So in the program you don't declare the variable "iter" which stores the value for number of iterations. When I use the same program it gives me an error that the variable is not defined. How can I correct that?.

[@mechtutorcom]

Salil Chawla Thanks for the remark. I typed "iter" by mistake. "iteration" is the correct variable to be output with "xnew". "iter" has shown the value 29 because it was saved in workspace from a previous script run. To avoid such a mistake, I should have started the code with "clear all" command. I am sorry for inconvenience.

[@abdullahhanfy3355]

you should instead the variable "iter by iteration and the code will run :)

[@MirGlobalAcademy]

use Iteration instead of iter

[@lelethuthandomgwebi2649]

Thanks champ

[@ajaikrishnaramalingam7646]

great

[@mohamedibnali561]

thank you , is there any way to but this condation in the matlab , so that if this matrix is not diagnol dominant they will disp not converge

[@ayase.4487]

amazed

[@yassinetounsi7376]

Hi, thank your for this tutoriel. if we have not a fix matrix, as the case of some physical case, the matrix depens on some physical parameters, for example, I have three a and b matrix, how can I use Jacobi methods and give the solution for every case?

[@mechtutorcom]

As I understood from your question, if the coefficients matrix [a] contains some variables related to physical values, you have to substitute the values in the matrix to get constant values first then you apply Jacobi method every time.

[@TFYGMYMIT]

well

[@MirGlobalAcademy]

gOOD

[@saddamhussainsoomro2810]

why zeros (n,1) ??

[@prasantkandel2551]

because they are vector so we have to initialize them with initial value 0 and (n,1) means n for the number of rows and 1 for no. of column

[@Adam-w4b]

thanks for making this topic easier ❤