Lecture 4 :~ Newton Raphson Method for System of Nonlinear Equations (An example Problem)

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  • เผยแพร่เมื่อ 30 พ.ย. 2024

ความคิดเห็น • 104

  • @stevenson720
    @stevenson720 4 ปีที่แล้ว +70

    The fact the a guy teaching maths in India can help me sitting here in Ireland is just bloody amazing. Thank you sir. Much appreciated.

    • @SukantaNayakedu
      @SukantaNayakedu  4 ปีที่แล้ว +4

      Thank you so much for your nice words.

    • @SukantaNayakedu
      @SukantaNayakedu  4 ปีที่แล้ว +5

      If you get benefit from these videos then please share it with your friends, students, and people who need, so that they can also get benefit. Thank you. Have a wonderful day.

  • @k4sukabe
    @k4sukabe 2 ปีที่แล้ว +4

    Я не иронично заявляю - индийцы сверхраса. В моменты отчаяния всегда найдется какой-нибудь индус, который объяснит и покажет, как решить вашу проблему лучше всех тех, кто делает то же самое в моем русскоязычном сегменте TH-cam. БРАВО!
    I do not ironically declare - the Indians are a super race. In moments of desperation, there will always be some Indian who will explain and show you how to solve your problem better than all those who do the same in my Russian-language TH-cam segment. BRAVO!

  • @anwarbraham9549
    @anwarbraham9549 3 ปีที่แล้ว +4

    good job , even though i'm studying this in french but it's cristal clear for me now , ty sir , shout out to indian guys traching us better than our teachers

  • @rawat1747
    @rawat1747 ปีที่แล้ว +1

    I swear it is the best video on this topic with example the concept got crystal clear

  • @jotammerretenezeta4509
    @jotammerretenezeta4509 4 ปีที่แล้ว +2

    Thanks I will program this example first to solve my problem! Very clear explanation!!

  • @khabdullah2694
    @khabdullah2694 ปีที่แล้ว

    Outstanding sir ji....take love...❤❤❤

  • @satpalkaushik8192
    @satpalkaushik8192 3 ปีที่แล้ว +3

    Very nice 👍. Please tell me what is the criteria for choosing initial approximation

  • @meme_machine_1947
    @meme_machine_1947 3 ปีที่แล้ว

    sir u will crush everone in coming days

  • @kunjranpura305
    @kunjranpura305 3 ปีที่แล้ว +1

    Wouldn't it be easier to use dX= x(k+1) -x(k) and just rearranging the equation to J(X(k)).dX= - F(x(k)) and then using substitution and gaussian elimination we can directly find X(k+1) instead of finding an inverse which can be very lengthy and complex on larger matrices or with more unknowns.

  • @albertohl9733
    @albertohl9733 3 ปีที่แล้ว +1

    This video was so helpful. Thank you sir.

  • @sighakollirohith7948
    @sighakollirohith7948 5 ปีที่แล้ว +5

    How we should take initial approximation if values did not mention in question ?

    • @vimay-girl9800
      @vimay-girl9800 4 ปีที่แล้ว

      I also have same question

    • @SukantaNayakedu
      @SukantaNayakedu  4 ปีที่แล้ว

      If the initial approximation is not given then check the question if there is any hint regarding that. If no information is given then you have to assume yourself.

  • @danielnaicker2142
    @danielnaicker2142 3 ปีที่แล้ว +1

    Can you please help me solve the solution to the multilateration problem

  • @DineshBiswal-fu9dh
    @DineshBiswal-fu9dh 6 หลายเดือนก่อน

    thank you for this clear explanation.

  • @jcnot9712
    @jcnot9712 3 ปีที่แล้ว +1

    My professor gets paid six figures to teach this and still can’t give a decent explanation. In 8 minutes you simplified what he couldn’t within a 50 minute lecture. I really wish some of that money would go to independent TH-cam educators as opposed to tenured, elderly and entitled curmudgeons who teach at my college since TH-cam is the reason I’m passing my classes. All in all, thank you kindly for the explanation.

  • @narendrayadav-yv4cq
    @narendrayadav-yv4cq 5 ปีที่แล้ว +3

    crystal clear explanation

    • @SukantaNayakedu
      @SukantaNayakedu  4 ปีที่แล้ว

      If you get benefit from these videos then please share it with your friends, students, and people who need, so that they can also get benefit. Thank you. Have a wonderful day.

  • @frazbakht4480
    @frazbakht4480 5 ปีที่แล้ว +2

    Nice and helpful video but Please use bigger board so you don't have to rub the previous work.

    • @SukantaNayakedu
      @SukantaNayakedu  5 ปีที่แล้ว +1

      Thank you so much for your nice suggestions. Actually, I am working on that to fix the problem.

  • @brisadamenteteorizando4210
    @brisadamenteteorizando4210 4 ปีที่แล้ว +2

    Youre really good.
    Thank u so much.

  • @onesteptowardssuccess9928
    @onesteptowardssuccess9928 2 ปีที่แล้ว

    Sir j-1k will be always one for all values of k, so equation becomes easier

  • @fatimaahmad2508
    @fatimaahmad2508 4 ปีที่แล้ว +1

    what is and how we get initial guess or approximation

  • @ibrahimallafi1460
    @ibrahimallafi1460 3 ปีที่แล้ว +1

    Thank you so much, but I have a question. What do we have to do if the delta of the Jacobian matrix is zero?

    • @SukantaNayakedu
      @SukantaNayakedu  3 ปีที่แล้ว

      Can you please mention what is delta in your query?

    • @gamerdio2503
      @gamerdio2503 3 ปีที่แล้ว

      @@SukantaNayakedu I think he means the determinant. What happens if the determinant is 0? Then, when calculating J_k^-1, you'll end up dividing by 0.

    • @mpscaspirant4670
      @mpscaspirant4670 3 ปีที่แล้ว

      @@gamerdio2503 then u have to change your initial assumed numbers of x and y

  • @THErafik
    @THErafik 2 ปีที่แล้ว

    best teacher

  • @asifiqubal5696
    @asifiqubal5696 5 ปีที่แล้ว +2

    awesome lacture sir😘

  • @tusharbiswas3704
    @tusharbiswas3704 ปีที่แล้ว

    greate job sir,,,,,,,,

  • @subhashpaudel246
    @subhashpaudel246 3 ปีที่แล้ว

    I have general question- how to guarantee the initial guess you took converges? Do we take it random hit and trial? One condition for sure to satisfy is jacobin shouldn’t be zero but still all guess doesn’t converge. Do you know something like what is radius of convergence? I would really appreciate

    • @kunjranpura305
      @kunjranpura305 3 ปีที่แล้ว

      It always converges at some point (can be infinite number of iterations for a very very bad guess). Better the guess, lesser number of iterations it takes to converge.

  • @TheyCallMeApplePie
    @TheyCallMeApplePie 4 ปีที่แล้ว +1

    A big thank you from Romania ^_^

  • @abhyapawar3274
    @abhyapawar3274 5 ปีที่แล้ว +2

    Sir we have to find J inverse again n again and it takes lot of time so can u have some short tricks so that we can find this

    • @SukantaNayakedu
      @SukantaNayakedu  5 ปีที่แล้ว +3

      General form of J inverse need not be find again and again. Only we to compute for different X vectors. By computer program easily can be done.

    • @SukantaNayakedu
      @SukantaNayakedu  5 ปีที่แล้ว +2

      Yes, the computation is rigid for hand calculation. Also, other methods are there. But this is little faster. Up to 3 by 3 matrix it's manageable by calculators.

  • @kamranahmad1207
    @kamranahmad1207 3 ปีที่แล้ว

    What is the method for guessing initial point if not already given in problem?

  • @ilyasansari7034
    @ilyasansari7034 4 ปีที่แล้ว +3

    Initial approximation kaise nikala jata h na diya ho to

    • @SukantaNayakedu
      @SukantaNayakedu  4 ปีที่แล้ว +1

      Newton Raphsion method (Newton's method) works nicely if the initial approximation is nearer to the exact value. But if we don't know the initial approximation, then we may assume such approximations which can nearly satisfy the equations. Also, we may use incremental search technique to get the initial approximation.

  • @aryannrautray
    @aryannrautray 3 ปีที่แล้ว +1

    Sir normally how many iterations are we required to perform in this method to achieve the required solution

    • @rabahalishah5124
      @rabahalishah5124 2 ปีที่แล้ว

      as much would be required in the question.

  • @themanofmasses6917
    @themanofmasses6917 4 ปีที่แล้ว +2

    Sir how to take x0,y0 if not given

    • @SukantaNayakedu
      @SukantaNayakedu  4 ปีที่แล้ว

      Ideally choose any vector near the exact vector.

  • @bablusinghpayare5959
    @bablusinghpayare5959 5 ปีที่แล้ว +1

    Sir
    Do you have
    Any videos regarding electrical engineering
    Psa,psoc,hvdc transmission
    Important video

  • @SaeedUllah-ju2wd
    @SaeedUllah-ju2wd 4 ปีที่แล้ว +1

    which equations cannot solve through Newton
    Raphson Method with reasons plz.

    • @mariusdebolster4014
      @mariusdebolster4014 4 ปีที่แล้ว

      I think every equation (which is solvable) can be solved with the NR method, as long as you choose a good starting point.

  • @ctanishamodi5851
    @ctanishamodi5851 3 ปีที่แล้ว +1

    How to get that initial approximations..?

    • @_saksham_27
      @_saksham_27 9 หลายเดือนก่อน

      It will be given in the question...!

  • @ritikadhayal7019
    @ritikadhayal7019 2 ปีที่แล้ว

    Sir what if we take f(xy) and g(xy) just opposite of what u have taken

  • @sandeshb7132
    @sandeshb7132 5 ปีที่แล้ว +1

    good work sir

    • @SukantaNayakedu
      @SukantaNayakedu  4 ปีที่แล้ว

      If you get benefit from these videos then please share it with your friends, students, and people who need, so that they can also get benefit. Thank you. Have a wonderful day.

  • @pallabisahoo673
    @pallabisahoo673 5 ปีที่แล้ว +1

    Awesome

  • @anupamapatra7889
    @anupamapatra7889 4 ปีที่แล้ว +1

    Sir if initial approximations na ho toh?matlab set of nonlinear equations ko kaise solve karna hai!!

    • @SukantaNayakedu
      @SukantaNayakedu  4 ปีที่แล้ว +1

      Na ho to apne se choose karna hai. X ka value 0, 1, 2, ... Dal k function value check karo. Jahan function ka opposite value aaye, rukjao. Aur last two x values k beech me se koi v ek x value leke start karo.

    • @anupamapatra7889
      @anupamapatra7889 4 ปีที่แล้ว +1

      Sir kya aap contact number de skte he!

    • @anupamapatra7889
      @anupamapatra7889 4 ปีที่แล้ว +1

      Sir actually I am a PhD student. So but doubts hai.so

    • @SukantaNayakedu
      @SukantaNayakedu  4 ปีที่แล้ว

      You can contact me with E-mail.

    • @anupamapatra7889
      @anupamapatra7889 4 ปีที่แล้ว

      Thank u sir.

  • @mohammadghani1379
    @mohammadghani1379 2 ปีที่แล้ว

    what will happen if the jacobian matrix is not square?

    • @SukantaNayakedu
      @SukantaNayakedu  2 ปีที่แล้ว

      It should be square otherwise you can't find.

  • @d.rishika3317
    @d.rishika3317 ปีที่แล้ว

    Sir if intial value is not given then what should we apply sir

    • @SukantaNayakedu
      @SukantaNayakedu  ปีที่แล้ว

      You get the initial value by hit and trial method.

  • @ovijitchandrow
    @ovijitchandrow 4 ปีที่แล้ว

    you are live saver .

  • @surendrakverma555
    @surendrakverma555 3 ปีที่แล้ว

    Very good

  • @violetakoth8360
    @violetakoth8360 2 ปีที่แล้ว

    Masterpiece

  • @aryannrautray
    @aryannrautray 3 ปีที่แล้ว

    Sir normally how many iterations are we required to perform in this method to achieve the required solution ?

    • @SukantaNayakedu
      @SukantaNayakedu  3 ปีที่แล้ว +2

      It depends on the problem and the tolerance value considered.

    • @aryannrautray
      @aryannrautray 3 ปีที่แล้ว

      @@SukantaNayakedu thank you sir

  • @faizanshaikh6036
    @faizanshaikh6036 4 ปีที่แล้ว

    Can we solve this question by Taylor series method

  • @just2minutesevery
    @just2minutesevery 4 ปีที่แล้ว +1

    thank you for everything

  • @vivekbgohil4375
    @vivekbgohil4375 4 ปีที่แล้ว

    Can you tell how to Find approximate
    ????

    • @MathsQ_MSC
      @MathsQ_MSC 29 วันที่ผ่านมา

      Initial aproximation will be given ok

  • @kingsleynwauba6660
    @kingsleynwauba6660 3 ปีที่แล้ว

    Please how do I get the first roots?

  • @கார்த்தீமோகன்தமிழன்

    God bless you😊😊

  • @naazkhan3831
    @naazkhan3831 5 ปีที่แล้ว +1

    Nice vidio

  • @khodora6752
    @khodora6752 3 ปีที่แล้ว

    Can i make the same steps but by using one equation and not one

  • @mforcelini
    @mforcelini 3 ปีที่แล้ว

    Congratulations for the great lecture sir! Regards from Brazil

  • @hodophile115
    @hodophile115 2 ปีที่แล้ว

    Thank u sir ❤️

  • @pallabisahoo673
    @pallabisahoo673 6 ปีที่แล้ว +1

    Very useful video.

  • @SanjeevKumar-yf9nx
    @SanjeevKumar-yf9nx 4 ปีที่แล้ว +1

    if x, y, z,then?

    • @SukantaNayakedu
      @SukantaNayakedu  4 ปีที่แล้ว +2

      Then J_k will be a 3×3 matrix. Accordingly, the expression will come with respect to x, y and z.

    • @SanjeevKumar-yf9nx
      @SanjeevKumar-yf9nx 4 ปีที่แล้ว

      @@SukantaNayakedu Thank you sir!!!

  • @prakashbera5739
    @prakashbera5739 4 ปีที่แล้ว

    how to take initial roots?

  • @amimayasmeen8936
    @amimayasmeen8936 5 ปีที่แล้ว

    Board clear nhi hai , plz camera ki quality badhao.

    • @SukantaNayakedu
      @SukantaNayakedu  5 ปีที่แล้ว +1

      Thank you very much for your comments and suggestions. I am working on it.

  • @galibkhan9950
    @galibkhan9950 5 ปีที่แล้ว +1

    function value is wrong not negative sign with -3.75 and -5.50 ok right value is 3.75 and 5.50

  • @xwriseisithrio
    @xwriseisithrio ปีที่แล้ว

    na sai kala palikari!

  • @bablusinghpayare5959
    @bablusinghpayare5959 5 ปีที่แล้ว

    Sorry sir
    I am not gating you.
    Please solve it other rules
    If you have

    • @SukantaNayakedu
      @SukantaNayakedu  5 ปีที่แล้ว

      There may be other rules but this is Newton's Method (Newton-Raphson method). You please see the video repeatedly, I believe you can definitely get it.

  • @dr.pradeepkumarsaroj4565
    @dr.pradeepkumarsaroj4565 4 ปีที่แล้ว

    Solution is wrong

  • @5038_ANMOLCHAUHAN
    @5038_ANMOLCHAUHAN ปีที่แล้ว +1

    तमीज से समझा दे करो इतना बकवास बताया

  • @hahalol7324
    @hahalol7324 6 หลายเดือนก่อน +1

    Sir what to do if initial approximation has not been given in a question?

    • @SukantaNayakedu
      @SukantaNayakedu  6 หลายเดือนก่อน +1

      Use nonnegativity condition and accordingly choose initial point.