Numerical Methods for Linear Systems - SOR

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  • เผยแพร่เมื่อ 28 พ.ย. 2024

ความคิดเห็น • 36

  • @abhyudayanerwat8558
    @abhyudayanerwat8558 3 ปีที่แล้ว +7

    FINALLY someone who explains with an example and concisely. Everywhere else it was left at just the equation, which never helps in my case. You have no idea how much you helped me out with this.

  • @MrSebaba14
    @MrSebaba14 6 ปีที่แล้ว +24

    I've been trying to understand the SOR formula for a while, and finally i got it! Thank you :)!

  • @Saidaiii
    @Saidaiii 3 ปีที่แล้ว +6

    5/5 on my numerical analysis quiz. HUGE!♥ Thank you!

  • @AjayKumar-oy9nv
    @AjayKumar-oy9nv 4 ปีที่แล้ว +2

    ✨✨The best video i found on TH-cam for SOR METHOD,✨✨ THANKS A LOT 👍👍

  • @finalizelol
    @finalizelol 4 ปีที่แล้ว +1

    I searched everywhere but this video cleared me, 10**6 thanks!

  • @AJ-et3vf
    @AJ-et3vf 3 ปีที่แล้ว +1

    Awesome video! Thank you! Now I finally understood stood how to use SOR. I also highly appreciate you saying the optimum value for w which is 1.1. Very helpful!

  • @jeremystott6861
    @jeremystott6861 4 ปีที่แล้ว +1

    Clear, and to the point. Great work

  • @kiruthika-jz4rs
    @kiruthika-jz4rs ปีที่แล้ว

    Superb vedio
    Upto the point

  • @wangmichael76
    @wangmichael76 6 ปีที่แล้ว +4

    It's really helpful! Thanks for explanation!

  • @keletsolebepe6186
    @keletsolebepe6186 6 ปีที่แล้ว +2

    This was extremely helpful. Thanks.

  • @jovannikolic2584
    @jovannikolic2584 4 ปีที่แล้ว +4

    Gauss-Seidel is not always better than Jacobi. There are examples when Gauss-Seidel doesn't even converge, and Jacobi does, and sometimes Jacobi converges faster than Gauss-Seidel. It depends on the spectral radius of the matrix in the iteration.

  • @srinivasank515
    @srinivasank515 4 ปีที่แล้ว

    Thank you. very clear explanation

  • @lyeschouaki6183
    @lyeschouaki6183 3 ปีที่แล้ว

    thank you this is really helpfull

  • @nahuelmaldonado8186
    @nahuelmaldonado8186 4 ปีที่แล้ว +1

    how could you derivate from Gauss-Seidel into the SOR fotmula?

    • @jovannikolic2584
      @jovannikolic2584 4 ปีที่แล้ว

      You get Gauss-Seidel when you put omega=1

  • @AdityaKadamMechanical
    @AdityaKadamMechanical 6 ปีที่แล้ว +3

    Thank you Sir :)

  • @amirabbasnazari5089
    @amirabbasnazari5089 ปีที่แล้ว

    Hello, how can i Solve under relaxation????

  • @benjaminbrodeur8537
    @benjaminbrodeur8537 3 ปีที่แล้ว +1

    Thank you sir

  • @alexfishers5561
    @alexfishers5561 5 ปีที่แล้ว +1

    How did u find the optimal relaxation factor? I.E omega.?? Please reply..

    • @rohitrai6187
      @rohitrai6187 5 ปีที่แล้ว

      Yes, important point

    • @a025822369
      @a025822369 5 ปีที่แล้ว

      @@rohitrai6187 I think he just chose a number greater than 1.

  • @priyajeni5560
    @priyajeni5560 3 ปีที่แล้ว

    Thank you so much sir...If possible please share MATLAB code for System of ode using SOR..

  • @safafituri2537
    @safafituri2537 6 ปีที่แล้ว +3

    thank you , i have a question: how to choose w?

    • @the-Math-guy
      @the-Math-guy  6 ปีที่แล้ว +6

      Well that's a good question there is a practical answer which is you have to experiment and play with a few values till you get the best result. So that would work for assignments or projects. Exam wise only a very cruel professor would ask you to figure it out. I would give the value of w. Hope the answer helps.

    • @safafituri2537
      @safafituri2537 6 ปีที่แล้ว +3

      Alright now i understand, yes you did help clarifying it to me, God Bless you.

  • @benjaminnunez2673
    @benjaminnunez2673 2 ปีที่แล้ว

    thank you

  • @weirdelectricalID
    @weirdelectricalID 5 ปีที่แล้ว

    where is w/aii ? as the formula said that. but you just multiplied it by w? or is that acceptable?

    • @ashelytang2592
      @ashelytang2592 2 ปีที่แล้ว

      I have the same question as well!

  • @vipenkumar4335
    @vipenkumar4335 5 ปีที่แล้ว

    THANKS SIR.................

  • @zerminagull7836
    @zerminagull7836 2 ปีที่แล้ว +1

    If w is not given how can we find w????

    • @akihitonarihisago4276
      @akihitonarihisago4276 2 ปีที่แล้ว +1

      w has to be decided by the user, depending on the system. It decides the rate of convergence.

  • @hetarthchopra4952
    @hetarthchopra4952 6 ปีที่แล้ว +3

    22 bot vdia

    • @the-Math-guy
      @the-Math-guy  6 ปีที่แล้ว +1

      Sorry I don't understand is there a question you have or an error

    • @dhoomsaad4406
      @dhoomsaad4406 5 ปีที่แล้ว

      please, can you explain how we go from (sor )to (gsm)?

    • @rohitrai6187
      @rohitrai6187 5 ปีที่แล้ว +6

      @@the-Math-guy It's in punjabi
      22=bai=brother
      bot vdia=very good

  • @saijyothi8750
    @saijyothi8750 5 ปีที่แล้ว

    Thank you Sir :)