Chapter 04.08: Lesson: Gauss-Seidel Method of Solving Simultaneous Linear Equations: Example: Part 2

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14 жыл бұрын

Learn via example how Gauss-Seidel method of solving simultaneous linear equations works. For more videos and resources on this topic, please visit nm.mathforcollege.com/topics/g...

Пікірлер: 96

@nikitaovt159 13 жыл бұрын

this is unbelievable, you are indeed a BAAWWWSSS!! can't thank you enough, so clear and helpfull

@V2Viper25 13 жыл бұрын

Using your videos to help study for my Numerical Analysis final. Huge help!

@vanillangela 12 жыл бұрын

THIS IS SUCH A LIFE SAVING VIDEO! I learned 3 lecture worth of materials in just 15 min with your video. WOW. I wonder if i want to go to lecture anymore!

@LalolaLika 3 жыл бұрын

I’m glad when you speak english.. most of the videos in youtube are in hindi which we non-indian people cannot understand.. thank you for helping us! ❤️

@numericalmethodsguy 3 жыл бұрын

Thank you. Please subscribe and ask your friends to subscribe - our goal is to get to 100,000 subscribers by the end of 2021. To get even more help, subscribe to the numericalmethodsguy channel kzfaq.info, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources. Follow the numerical methods blog at AutarKaw.org. You can also take a free massive open online course (MOOC) at canvas.instructure.com/enroll/KYGTJR Please share these links with your friends and fellow students through social media and email.

@charlesman5870 8 жыл бұрын

damn it is very good to search this video before exam, I do not understand those notation in the lecture but from your example, I know how to use it Thank god and I give u a like!

@shubhamoysengupta442 11 жыл бұрын

Sir you explanations are wonderful. Its a life saver before the exams.

@harryclay_z06 8 жыл бұрын

Really great video, I was really struggling with this for no reason. This made a lot of sense!

@ViniciusEduardoSdaSilva 14 жыл бұрын

I can only repeat what others have already said here: Great simple example! Big thanks from Brazil!

@KhalidAfridi1 9 жыл бұрын

Thank you sir, it helped me a lot to understand my BS-Software Engineering course.

@subish20me 6 жыл бұрын

your teaching methods are absolutely on point thanks soo much sir you are great

@numericalmethodsguy 6 жыл бұрын

To get even more help, go to MathForCollege.com/nm and MathForCollege.com/ma for more resources and share the link with your friends. Follow my numerical methods blog at AutarKaw.org. You can also take a free online course at www.canvas.net/?query=numerical%20methods

@SChidawa 8 жыл бұрын

Thanks a lot. I really appreciate this preside and brief Explanatory segment.

@tarunbaniyal135 8 жыл бұрын

Thanks sir, it is going to add 5 marks for me now.👍

@user-sh5vp6wp6z 5 жыл бұрын

Thank you very much it has improved on my Gauss Siedel's knowledge of solving linear equations however the question needed only two iterations but you have calculated up to the 6th iteration

@Utkuaksar 12 жыл бұрын

thank you very much. I hadn't understood but I can solve through that video

@3DPadawan 8 жыл бұрын

Thank you from Indonesia ! it's really clear. Liked and subscribed

@rickycax 12 жыл бұрын

hello,very nice work here,thank you. what if teacher ask question which doesnt have starting values? what should we do then , take for starting value? [0,0,0] ? prof. just gives the system and ask solve this system "using Seidel iteration 3 steps."

@viharparekh1512 10 жыл бұрын

Thank you sir,you are genius and a good teacher....

@mdeenny 12 жыл бұрын

@rizwansahimy lambda is a question for gauss seidel with relaxation, try find topic about that... this video is about the basic of gauss seidel method

@gagsimon11 12 жыл бұрын

Thanks for sharing. Very well explained example.

@jesdavid80 11 жыл бұрын

Thank you, from Colombia. Muchas gracias, a pesar de que no hablo ingles entendi el ejercicio y como era el procedimiento para iterar.

@aliyuksel3699 7 жыл бұрын

awesome video. my ee professor couldnt teach me something that you made so simple

@gebohorquezd 13 жыл бұрын

You are a very good teacher. Very good job

@ishurekhi6177 12 жыл бұрын

In the start of the prior video , the question you asked was ' Find the answer after the 2nd iteration' , however the answer that you've given is the value of x1,x2 and x3 after the 6th iteration . Is this a mistake or is there a reason for stopping at the 6th iteration ?

@numericalmethodsguy 12 жыл бұрын

In Gauss Seidel, you use the most recent value of the solution vector elements found so far; in Jacobi, you use the solution vector from the previous iteration to get the solution vector for next iteration.

@vickyf7l 9 жыл бұрын

TYVM really helpfull and easy to understand

@hoeyewhock4827 11 жыл бұрын

Thank you so much,I had learned something from your video. Is a very helpful video!!!

@yixiong3052 8 жыл бұрын

thank you so much for giving such clear presented lecture

@topdecktunes 7 жыл бұрын

I'm paying for a degree and watching these videos lol

@numericalmethodsguy 7 жыл бұрын

Thank you for your comments. To get even more help, go to MathForCollege.com/nm and MathForCollege.com/ma for more resources and share the link with your friends. Follow my numerical methods blog at AutarKaw.org. You can also take a free online course at www.canvas.net/?query=numerical%20methods You can donate on the main page of the KZfaq channel, if you want to redirect your money!!!!!

@danishkiet 14 жыл бұрын

Nice work, and very usefull 4 allz

@booysenbafana4358 6 жыл бұрын

Thank you so much, much better understanding than when my lecture taught this to me

@61ceyar 11 жыл бұрын

Thanks all of you,you are really Scientifics

@divyammandalia810 8 жыл бұрын

Also anything related to leibmann equation?

@bmwslamdunk 10 жыл бұрын

why you always do such an awesome stuff? thank you prof.! i understand it now. and i liked your shirt wahaahaha

@MrAlekosD 8 жыл бұрын

Thanks so much sir

@rickycax 12 жыл бұрын

@rickycax and what if what is teacher gives variables as x,y,z it still works?

@profautarkaw 12 жыл бұрын

Look at the playlist at the numericalmethodsguy channel. Newton Raphson method is there!

@marosal0707 14 жыл бұрын

Great simple example. thnks

@divyammandalia810 8 жыл бұрын

Do you have application based examples? Like volume is given in terms of dv/dt and the initial volume is given and we need to find the volume at some time t.

@numericalmethodsguy 8 жыл бұрын

+Divyam Mandalia Go to nm.MathForCollege.com for all resources. You are seeking solution of ODEs. See physical applications, etc.

@nick81254 13 жыл бұрын

i think i will survive my exam tomorrow thanx a lot sir !!!

@romeoamu87 14 жыл бұрын

thanks very much, its much clear now

@halflife1994 12 жыл бұрын

do i need to stop at equation 6 to get the final answer???? plsss help

@cristianeferreira4822 11 жыл бұрын

Olá.... Sou acadêmica de Análise e desenvolvimento de Sistemas UTFPR(Universidade Tecnológica Federal do Paraná(Ponta Grossa)) - Brasil :D Apenas gostaria de agradecer pelas explicações!!! at. Cristiane Ferreira

@Qwme5 14 жыл бұрын

Amazing Videos

@odongmartine1340 3 жыл бұрын

Well, I like the explain so good but what I would like to know is what the the different between the Jacobi method and gauss Seidel method?

@numericalmethodsguy 3 жыл бұрын

Jacobi method uses the values from the previous iteration; Gauss Siedel uses the most recent values. So in Gauss Siedel, one could be in the current iteration and say when calculating x(3), you would use x(1) and x(2) from the current iteration as they are the recent values, and x(4),...,x(n) would be from the previous iteration.

@kaurharshpreet 13 жыл бұрын

Thanks alot i have no words thanksssssssssss

@numericalmethodsguy 12 жыл бұрын

That was just to show how it converges.

@numericalmethodsguy 12 жыл бұрын

@rickycax Unless you know the physics of the problem, an initial guess of [0,0,0] is as good as any.

@priradcliffe 13 жыл бұрын

wow it was actually awesome. I'm sorry (I'm brazilian, so I couldn't understand some things, if someone could explain me I would be so grateful). The smaller percent error... it was a predefined result? how much I have to do it to get there? I don't know if someone is going to mean me but...

@numericalmethodsguy 11 жыл бұрын

Yes, if the coefficient is diagonally dominant, convergence is assured. Go to nm(dot)mathforcollege(dot)com and click on Keyword. Click on Gauss Seidel Method. Read the textbook chapter.

@mpizos 11 жыл бұрын

thanks for sharing! :)

@wilsonchegewahug8287 6 жыл бұрын

Many thanks

@disornr 14 жыл бұрын

Thx very much!!!

@zash005 12 жыл бұрын

THANKS! PLEASE COULD YOU POST NEWTON RHAPSON METHOD?

@ninjaquest 11 жыл бұрын

Very useful, thank you! ^_^

@avestak 13 жыл бұрын

many thanks

@CrispyCyclicCenk 10 жыл бұрын

thanks sir

@halflife1994 12 жыл бұрын

sir, what is the difference between gaus seidel and jacobi method?

@Elite1666 13 жыл бұрын

thank a lot!

@ReinAppeldoorn 14 жыл бұрын

Thanks a lot :)

@davide4646 13 жыл бұрын

thank you!

@maxsyamil3858 6 жыл бұрын

Nice.I hope this proifessor come to teach in my uni lol

@samsui8866 8 жыл бұрын

ty allot you help me allot ty

@user-rz6qb5ff3h 9 ай бұрын

How to apply gauss seidel if matrix is not diagonally dominant

@numericalmethodsguy 9 ай бұрын

Maybe rearrange equations if that make the coefficient matrix diagonally dominant. If it does not, do not fret. Use Gauss-Seidel as usual. Convergence may take place but it is not guaranteed!

@Zhazhael 13 жыл бұрын

Nice!!!

@obasimatictutorial 5 жыл бұрын

awesome

@atlrafa 7 жыл бұрын

Thanks alot

@numericalmethodsguy 7 жыл бұрын

Thank you. To get even more help, go to MathForCollege.com/nm for more resources. Follow my numerical methods blog at AutarKaw.org. You can also take a free online course at www.canvas.net/?query=numerical%20methods

@RiyadhSust 9 жыл бұрын

tq sir..

@numericalmethodsguy 11 жыл бұрын

The example is only for illustration. You can use it for any number of equations!

@dr.rajeevanb3471 3 жыл бұрын

X3 after second iteration is 3.8117 and not 3.8118. Please check. X3 = (76 - 3 x 0.14679 - 7 x 3.7153) /13 = 3.811733. After rounding to 5 significant digits, X3 = 3.8117

@rizwansahimy 13 жыл бұрын

my question have a lambda how to solve that?

@aonkhan5779 8 жыл бұрын

i cannot understand how to check that iterations are less than tolerance,,everytime when i work with ur concept i got wrong ans...kindly guide me

@profautarkaw 8 жыл бұрын

+Aon Khan I can only help if you tell me how and what you got!

@MrPaulrael 11 жыл бұрын

Sir, I don't understand why someone would want to use this method when all you have to do is solve 3 simultaneous eqn's with 3 unknowns. Can you use this method on a system with more unknowns than equations?

@numericalmethodsguy 12 жыл бұрын

No ,you stop when the maximum of the absolute relative approximate errors is less than or equal to your pre specified tolerance. If the pre-specified tolerance was 1%, then I would have stopped at iteration number six.

@kimmaquiling8593 6 жыл бұрын

how do you get the maximum of those Approximate errors?

@numericalmethodsguy 6 жыл бұрын

Follow this mathforcollege.com/nm/mws/gen/04sle/mws_gen_sle_txt_seidel.pdf and learn about numerical methods at mathforcollege.com/nm

@OR2NG7 11 жыл бұрын

Is there a way to predict whether the equations will converge or not?

@numericalmethodsguy 6 жыл бұрын

The solution will converge if the matrix is strictly diagonally dominant or irreducible diagonally dominant. autarkaw.org/2016/11/04/implications-of-diagonally-dominant-matrices/

@23youwatch 11 жыл бұрын

ENDs like a BAWSE!

@Adhikarisubash56 11 жыл бұрын

Thumps up if you are watching this just a day before exams :D

@amina6201 4 жыл бұрын

I love you

@numericalmethodsguy 4 жыл бұрын

To get even more help, subscribe to the numericalmethodsguy channel kzfaq.info, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources. Follow the numerical methods blog at AutarKaw.org. You can also take a free massive open online course (MOOC) at canvas.instructure.com/enroll/KYGTJR Share these links with your friends through social media and email.

@MuhammadQasim-th3ed 3 жыл бұрын

Teachers name ???

@numericalmethodsguy 3 жыл бұрын

Autar Kaw AutarKaw.com

@Zhazhael 13 жыл бұрын

Nice english!!! XD

@dogisotibo8195 3 жыл бұрын

thank you sir

@shamaladewi9923 6 жыл бұрын

thank you sir

@numericalmethodsguy 6 жыл бұрын

Thank you. To get even more help, subscribe to the numericalmethodsguy channel, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources and share the link with your friends through social media and email. Support the site by buying the textbooks at www.lulu.com/shop/search.ep?keyWords=autar+kaw&type= Follow my numerical methods blog at AutarKaw.org. You can also take a free online course at www.canvas.net/?query=numerical%20methods