Gauss seidel method || Iterative method

Welcome to our KZbin 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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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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[@Civillearningonline]

Jacobi's iteration method: kzbin.info/www/bejne/ZoHReaKafdhgp80

[@fajobimicheal4948]

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

[@tobompakba2923]

Nicely explain sir ❤.... Keep it up

[@gagangk7363]

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

[@m.maheshmahesh2319]

You explanation super bro.

[@user-gy8wq6vv7y]

Nice explanation 🎉

[@CodingTutor-1226]

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

[@Civillearningonline]

Thank you dear.

[@OkDannyEl]

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]

Welcome brother. I am trying my best.

[@Malli-zu7ql]

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

[@CryptoDen101]

You just gained one more subscriber

[@GenetuTadesse]

Best explanetion ❤❤❤❤

[@RM_BEATS]

Best explanation

[@Joselab-eh6kh]

I appreciate this thank you man

[@jimmyjayant8072]

Best explanation. Keep it Up. Very Helpful.

[@Civillearningonline]

Thank you

[@truptijadhav8329]

Thank you so much sir 🙏

[@subhashreesahoo396]

Thank you sir🙏

[@gowthamchella8049]

Thanku sir super ga cheparu

[@editingworld9997]

Never seen explanation 👍

[@ahmedalamoudi6489]

well done

[@moumitamaji7957]

Thank you so much sir 😌😌🤗

[@trevorquinones5124]

great video! thanks for the help

[@Civillearningonline]

Welcome dear

[@user-xt2qx7xp6f]

thank you😍

[@user-tx5tw7oz1b]

Excellent explanation bro

[@Civillearningonline]

Thank you❤️❤️

[@A.Muthupandiyan-py7ee]

Good

[@bardiabagheri5465]

Bro.. u are the best.. believe me 🥃

[@sundeeepu]

What is the mic that you are using brother?

[@Civillearningonline]

Boya m1

[@BurRun-kt3tf]

Thanks អរគុណ❤

[@SheikUjmaC--]

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

[@Rafi_Satria]

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]

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]

@@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

[@Swansylinks]

Thank you

[@Civillearningonline]

Welcome

[@saumyamallelwar603]

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

[@Civillearningonline]

Welcome

[@CodingTutor-1226]

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

[@Civillearningonline]

No.

[@eugeneyao7083]

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

[@Civillearningonline]

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

[@eugeneyao7083]

Thank you sir🙏

[@haarikaalla1665]

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

[@Civillearningonline]

Yes

[@shababagay456]

Thnkyou

[@Civillearningonline]

Welcome

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[@Civillearningonline]

Thanks a lot bhai

[@HimadriDeka-qk1qt]

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]

Hmm. I got it.

[@user-wb3ps3cu6o]

❤

[@mosesodunayo4237]

How many iteration can we do it too

[@Civillearningonline]

Until you start getting value close to zero.

[@diptimayeedash5200]

Jacobi and seidel are same.?

[@Civillearningonline]

Slightly different

[@suhanashrestha6838]

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]

I will send you the solution soon. Just send a mail at [e-mail]

[@ManiTharun-me9kh]

Co efficient 😅

[@Kalashree1219]

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

[@Civillearningonline]

No. I am from Nepal.

[@Kalashree1219]

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[@Civillearningonline]

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

[@Kalashree1219]

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[@Kalashree1219]

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Your english is super😂😅

[@Civillearningonline]

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[@dipesheditz8103]

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[@susanadagadu3864]

😂exactly so🙌👏

[@hacarrrrr_]

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

[@Civillearningonline]

Let me help you. Hindi me kzbin.info/www/bejne/o4CuqmudeN6Vebc

[@onthespotsavage06]

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[@hacarrrrr_]

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[@Civillearningonline]

kzbin.info/www/bejne/o4CuqmudeN6Vebc Hindi

[@mayankroy2855]

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

[@Civillearningonline]

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[@ManiTharun-me9kh]

Co efficient 😅