Gauss seidel method || Iterative method

Рет қаралды 85,358

Жыл бұрын

Welcome to our KZfaq channel, where we delve into the fascinating world of numerical methods. In this video, we unlock the power of the Gauss-Seidel method, a fundamental iterative technique used in solving linear systems of equations.
Join us as we take you on a journey through the intricacies of the Gauss-Seidel method and explore its remarkable efficiency in finding solutions to complex mathematical problems. Whether you're a student, a researcher, or simply a curious mind, this video offers valuable insights and practical knowledge to enhance your understanding of numerical analysis.
We begin by introducing the Gauss-Seidel method's underlying principles, highlighting how it differs from other iterative methods such as Jacobi. You'll discover how this method exploits the concept of successive approximations, refining solutions iteratively until convergence is achieved.
With a clear grasp of the theory, we then transition to practical examples and real-world applications. Witness the power of Gauss-Seidel as we demonstrate its effectiveness in solving systems of linear equations, especially when dealing with large matrices. Through step-by-step explanations and visual aids, you'll gain confidence in implementing the Gauss-Seidel method to tackle complex problems efficiently.
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Write me at civillearning@gmail.com
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Gauss-Seidel Method
Iterative Method
Linear Systems
Convergence
Successive Approximations
Numerical Analysis
Matrix Equation
Computational Mathematics
Algorithm
Efficiency
Solution Accuracy
Optimization
Iterative Refinement
Large Matrices
Numerical Stability
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Пікірлер: 95

@Civillearningonline 9 ай бұрын

Jacobi's iteration method: kzfaq.info/get/bejne/Zraee9KVrdmRoZ8.html

@Black_Kings_Bar 2 ай бұрын

Have exam tomorrow morning and hust started studying rn and this explanation is so good i hope ill pass tomorrow lol

@AravindA-vn1xs 2 ай бұрын

Amazing explanation. Dragged it out and confused me at certain points, but at the end u will easily get the gist of it. Thanks for the class sir.

@gagangk7363 7 ай бұрын

Great video ,i understand very well thank you sooo much brother.....❤

@VamsiKondi-oo1se 23 күн бұрын

Nice explain sir❤

@CodingTutor-1226 11 ай бұрын

this is the best explanation of the method here on KZfaq.... thanks man ....I even subscribed.

@Civillearningonline 11 ай бұрын

Thank you dear.

@tobompakba2923 11 ай бұрын

Nicely explain sir ❤.... Keep it up

@Mahi_SMB 11 ай бұрын

You explanation super bro.

@Joselab-eh6kh 8 ай бұрын

I appreciate this thank you man

@CryptoDen101 10 ай бұрын

You just gained one more subscriber

@Malli-zu7ql 9 ай бұрын

Thanks bro make more videos related to maths its very helpful to us plz bro

@gowthamchella8049 6 ай бұрын

Thanku sir super ga cheparu

@OkDannyEl 3 ай бұрын

Brother, thank you so much. I was almost following a wrong explanation from a bot. And almost missed an important test. Plus the way you explained... Even a kid would understand. God bless you ❤😊😊😊

@Civillearningonline 3 ай бұрын

Welcome brother. I am trying my best.

@jimmyjayant8072 7 ай бұрын

Best explanation. Keep it Up. Very Helpful.

@Civillearningonline 7 ай бұрын

Thank you

@BGLMNNNKS 6 ай бұрын

Nice explanation 🎉

@fajobimicheal4948 2 ай бұрын

This is well explanatory. Pls I need tutorial video on Solution to linear systems (Gauss method and Crout's method)

@truptijadhav8329 3 ай бұрын

Thank you so much sir 🙏

@trevorquinones5124 10 ай бұрын

great video! thanks for the help

@Civillearningonline 10 ай бұрын

Welcome dear

@GenetuTadesse 7 ай бұрын

Best explanetion ❤❤❤❤

@moumitamaji7957 4 ай бұрын

Thank you so much sir 😌😌🤗

@subhashreesahoo396 9 ай бұрын

Thank you sir🙏

@RM_BEATS 7 ай бұрын

Best explanation

@almnr81S7 16 күн бұрын

From the onset Isn't this Jacobi Iteration method? Gauss Seidel method does it require checking for diagnol dominance?

@user-xt2qx7xp6f 7 ай бұрын

thank you😍

@newarrival6667 4 ай бұрын

Never seen explanation 👍

@user-tx5tw7oz1b 9 ай бұрын

Excellent explanation bro

@Civillearningonline 9 ай бұрын

Thank you❤️❤️

@kamalakamala3845 2 ай бұрын

Super broo

@SheikUjmaC-- 5 ай бұрын

If a11=a12+a13 then?? Can we follow the same procedure

@ahmedalamoudi6489 6 ай бұрын

well done

@HariniKaran 2 ай бұрын

Tqsm sir

@bardiabagheri5465 6 ай бұрын

Bro.. u are the best.. believe me 🥃

@saumyamallelwar603 7 ай бұрын

Kal exam hai aur thank you so much It helped me a lot🌸

@Civillearningonline 7 ай бұрын

Welcome

@Rafi_Satria 5 ай бұрын

I have this problem where it says that i have to find the approximation using fixed point iteration and gauss seidel iteration, but i dont understand, isnt both the same? like using the same formula? i've been searching all over the internet but i cant recall whats the difference?

@shamashama2974 4 ай бұрын

There is a slight difference in iterative solution of the two methods.... (Gauss Jacobi and Gauss Seidal) Just have a look on general forms for iterative 1 and 2... Observe the difference.

@Rafi_Satria 4 ай бұрын

@@shamashama2974 Yes now i know what's the difference, but i still wondering about the question format, the question should've ask to find and compare the value approximation using "gauss jacobi and gauss seidel", not "fixed iteration and gauss seidel", because they're both the same right? edit: here's the question the given non linear system : x = (8x- 4x^2 + y^2 +1)/(8) y = (2x - x^2 + 4y - y^2 + 3)/(4) use the initial approximation (p0, q0) = (1.1 , 2), and compute the next 3 approximations to the fixed point using (a) fixed point iteration and (b) Seidel iteration

@BurRun-kt3tf 4 ай бұрын

Thanks អរគុណ❤

@haarikaalla1665 9 ай бұрын

Can we get negative values according to the question in few iterations

@Civillearningonline 9 ай бұрын

Yes

@CodingTutor-1226 11 ай бұрын

sir is the no formula you can use to find the number of iteration.

@Civillearningonline 11 ай бұрын

No.

@Swansylinks 10 ай бұрын

Thank you

@Civillearningonline 10 ай бұрын

Welcome

@sundeeepu 8 ай бұрын

What is the mic that you are using brother?

@Civillearningonline 8 ай бұрын

Boya m1

@eugeneyao7083 Жыл бұрын

Sir please if number of iterations is not specified, how much do we use to resolve equations?

@Civillearningonline Жыл бұрын

We need to proceed until we get value similar in two successive iteration.

@eugeneyao7083 Жыл бұрын

Thank you sir🙏

@WasiAhmedSiddiqi-vl2vu Ай бұрын

Good

@user-bd6jb2rq8p Жыл бұрын

Congratulations bhaiji for goting 50k sub🎉🎉🎉🎉🎉🎉🎉🎉🎉😂😂😂😂😂😂😂😂🎉😂🎉🎉😂

@Civillearningonline Жыл бұрын

Thanks a lot bhai

@montuchitarajeenger4582 17 күн бұрын

Sir exam me scientific caculator leke ja sakte he kya

@montuchitarajeenger4582 17 күн бұрын

Reply me sir

@mosesodunayo4237 5 ай бұрын

How many iteration can we do it too

@Civillearningonline 5 ай бұрын

Until you start getting value close to zero.

@HimadriDeka-qk1qt Жыл бұрын

Sir mai ne Cantilever method ka 2 number problem hai kuch doubt hai aapko comment dia please dekh ke reply dijiyega haa sir please 🙏

@Civillearningonline Жыл бұрын

Hmm. I got it.

@shababagay456 6 ай бұрын

Thnkyou

@Civillearningonline 6 ай бұрын

Welcome

@diptimayeedash5200 3 ай бұрын

Jacobi and seidel are same.?

@Civillearningonline 3 ай бұрын

Slightly different

@user-wb3ps3cu6o 5 ай бұрын

❤

@suhanashrestha6838 2 ай бұрын

Yesma tyo higher wala haru bhayena ta ki malai na aako ho x + 2y + 3z = 4 6x - 4y + 5z = 10 5x + 2y + 2z = 25

@Civillearningonline 2 ай бұрын

I will send you the solution soon. Just send a mail at civillearningon@gmail.com

@Kalashree1219 6 ай бұрын

Hey brother.... Are you from Bihar??

@Civillearningonline 6 ай бұрын

No. I am from Nepal.

@Kalashree1219 6 ай бұрын

@@Civillearningonline Ohhh....Because you have a Bihari ascent so I thought so...

@Civillearningonline 6 ай бұрын

@@Kalashree1219 yes. I have stayed in India also. And I have some friends too.

@Kalashree1219 6 ай бұрын

@@Civillearningonline Okk... That's great! 😇

@Kalashree1219 6 ай бұрын

@@Civillearningonline Yess

@r.pniharprabhu3372 9 ай бұрын

Your english is super😂😅

@Civillearningonline 9 ай бұрын

🤣🤣🤣🤣

@dipesheditz8103 7 ай бұрын

@@Civillearningonlinepls sir don't change it ❤ , u are what u are

@susanadagadu3864 5 ай бұрын

😂exactly so🙌👏

@lovead5418 21 күн бұрын

Well he is so well educated that students respect him and learns from you. What did you do in life?

@Rocktamilan19 3 ай бұрын

Co efficient 😅

@hacarrrrr_ 8 ай бұрын

Sir aaap hindi me bhi bol sakhte ho naa... why r u used english lang..

@Civillearningonline 8 ай бұрын

Let me help you. Hindi me kzfaq.info/get/bejne/o7V7rJuYqN_Gc4k.html

@onthespotsavage06 3 ай бұрын

English grammar class bunk kkarne ka natija

@hacarrrrr_ 3 ай бұрын

@@onthespotsavage06 to ga...d me daal teri english😈hacrr se mat ulaz samjha

@hacarrrrr_ 3 ай бұрын

@@onthespotsavage06 graammer to thik se likhle 😅

@mayankroy2855 7 ай бұрын

bhai solve kiya kar gyaan kam diya kar hmlog jnte h tereko sab aata hai

@Civillearningonline 7 ай бұрын

😅😅😅😅

@awr_gameing 7 ай бұрын

Sir I would remember you for your English sir rather than your teaching 😩🤞

@Civillearningonline 7 ай бұрын

kzfaq.info/get/bejne/o7V7rJuYqN_Gc4k.html Hindi

@A.Muthupandiyan-py7ee 3 ай бұрын

Good

@Rocktamilan19 3 ай бұрын

Co efficient 😅