LU method does not pass the test, Gauss Siedel: no way to enter initial guess

[moharamfatema]

LU method does not run as expected, the following error is generated :

  File "sys_linear_eqns_python\src\methods.py", line 124, in LU
    x[i] = y[i] / float(U[i][i])
IndexError: list assignment index out of range

the function call that caused this error was as follows:

a = numpy.array([[2, 1, 4, 1], [1, 2, 3, 1.5], [4, -1 ,2, 2]])
x = methods.LU(number_of_equations=3,input_equations=a)        

There's also a missing feature in the gauss_siedel method, There should be initial guesses for the solution that the user enters

If you want to regenerate the error or test the function you can run the tests in the tests directory

[moharamfatema]

Update on LU bug

The bug was just a typo, I fixed it. However, The method does not return correct results
I used the following input as a test:

 a = numpy.array([[2, 1, 4, 1], [1, 2, 3, 1.5], [4, -1 ,2, 2]])
 x = methods.lu_decomposition(number_of_equations=3,input_equations=a).get('solution')

The actual output = [0.25 , 0.77778, 2.75 ]
The expected (correct) output = [ 1, 1 , -0.5]

You'll find a few changes to the code that were necessary for the required output but I didn't change the logic of any of the functios.