LU Decomposition Calculator

Decomposing a square matrix into a lower triangular matrix and an upper triangular matrix. Partial pivot with row exchange is selected.


    1. (enter a data after click each cell in matrix)
Matrix A 
{aij}   

LU Decomposition
The row pivot information in LU decomposition is in one-dimensional array P.

    LU Decomposition
    [1-10] /13Disp-Num
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    [1]  2019/03/23 14:47   Female / 20 years old level / High-school/ University/ Grad student / Useful /
    Purpose of use
    checking my code for LU decompo
    [2]  2019/03/06 08:46   Male / 20 years old level / High-school/ University/ Grad student / Very /
    Purpose of use
    Check my own code
    [3]  2019/03/01 04:30   Male / 20 years old level / High-school/ University/ Grad student / Very /
    Purpose of use
    Testing my own algorithm
    [4]  2019/02/15 12:53   Male / Under 20 years old / High-school/ University/ Grad student / A little /
    Purpose of use
    checking work
    [5]  2019/02/15 04:13   Male / 20 years old level / High-school/ University/ Grad student / A little /
    Comment/Request
    I need it to work with a 3x4 matrix
    [6]  2019/02/12 19:03   Male / 20 years old level / High-school/ University/ Grad student / Very /
    Purpose of use
    quick validation
    [7]  2019/02/08 03:41   Female / 20 years old level / High-school/ University/ Grad student / Useful /
    Purpose of use
    university coursework checking
    [8]  2018/12/09 05:16   Male / Under 20 years old / High-school/ University/ Grad student / Useful /
    Purpose of use
    Check handwritten work.
    [9]  2018/11/14 22:43   Male / 20 years old level / High-school/ University/ Grad student / Very /
    Purpose of use
    Ensure my hand-written decomposition process was done correctly.
    [10]  2018/10/21 03:01   Male / 40 years old level / Self-employed people / Not at All /
    Purpose of use
    Just wanted to check to see if my results matched what the calculator said.
    Comment/Request
    Your calculator is wrong. I entered a matrix like this:

    [1 2 3]
    [4 5 6]
    [7 8 9]. And it said that the LU decomposition was this:

    L [1 0 0] U=....
    [0.14 1 0]
    [0.57 0 1]

    That by itself is wrong, the correct answer is:

    L=[1 0 0] U=..... You should figure out to see what's wrong with your algorithm.
    [4 1 0]
    [7 2 1]
    from Keisan
    The result seems to be correct.

    L
    [1 0 0]
    [0.14.. 1 0]
    [0.57.. 0.5 1]

    U
    [7 8 9]
    [0 0.85.. 1.71..]
    [0 0 5.E-15]

    LU =
    [7 8 9]
    [1 2 3]
    [4 5 6]

    (Partial pivot with row exchange P_i = [3 1 2])

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