Gaussian Elimination In Python | Numerical Methods

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  • Опубліковано 2 лис 2024

КОМЕНТАРІ • 15

  • @АндрейРябцев-д7б
    @АндрейРябцев-д7б Рік тому +23

    You have an error in your code. Namely in the backward substitution. I think it should look like
    for k in range(n-2, -1, -1):
    x[k] = augmented_matrix[k][n]
    for j in range(k+1, n):
    x[k] = x[k] - augmented_matrix[k][j] * x[j]
    x[k] = x[k] / augmented_matrix[k][k]

    • @banozz4793
      @banozz4793 Рік тому +1

      can you explain why? im a bit new to python

    • @АндрейРябцев-р7т
      @АндрейРябцев-р7т Рік тому +1

      @@banozz4793 It is not referred python it's concerned with Gauss elimination antilogarithm. During back substitution x[k] calculate as the last column of the augmented matrix minus the sum of all previously found x multiplied by the appropriate coefficient from the augmented matrix, and afterwords divided by a[k][k]. It is better to show by formulas than describe by words.

    • @StudySessionYT
      @StudySessionYT  Рік тому +10

      Yes you are absolutely right, In my reference code that I created and in my "Gauss Elimination With Partial Pivoting" video I have exactly what you presented here, thank you. I will pin this as the top comment so that others will see your contribution.

  • @trind6473
    @trind6473 9 місяців тому +1

    Sir, thanks for your video. By the way, do you want to use C++ for Gaussian Elimination in another video? Thanks

  • @Sidmenon123
    @Sidmenon123 Рік тому +1

    Your backwards substitution bit is wrong. Please check again

  • @yashkaushik4992
    @yashkaushik4992 Рік тому +2

    i believe you should add a link to copy the code so it is easier to follow and replicate. I am very new to coding and while I understand things, it all moves too fast for me to do it on my own. :)

    • @jameshopkins3541
      @jameshopkins3541 Рік тому

      Dedicate a otra cosa Tal vez cocinar o modas o berlleza

  • @thelindayz2087
    @thelindayz2087 Рік тому +2

    It's sad there's such a big mistake in your code in the backward substitution.

  • @StudySessionYT
    @StudySessionYT  Рік тому

    Learn how to add partial pivoting to Gauss Elimination here: ua-cam.com/video/DiZ0zSzZj1g/v-deo.html

  • @noorj7782
    @noorj7782 Рік тому

    I think that your code is not inclusive . if the first number in the matrix (matrix[0][0]) is zero , while everything else is ok , your code would stop immediately and get out of the function due to the first condition in the while loop , even though, generally when we do it manually we would simply swap rows and continue with the process . therefore your code does not include the cases when mat[0][0] = 0 .

    • @maxlee4949
      @maxlee4949 8 місяців тому

      Hi, how do I solve this issue?

    • @noorj7782
      @noorj7782 8 місяців тому

      I forgot about this code a long time ago I can’t help you at this point sorry

  • @wuiege1128
    @wuiege1128 Рік тому +1

    :)

  • @klepachevskyi
    @klepachevskyi 3 місяці тому

    The answer's wrong, also mistakes in the code. That's sad you are misleading people. You must double/triple check before publishing.
    A lot of useless variables, => memory loss. For example variable j = I - 1 Is not used at all.