Question
Python Code Given a unit lower triangular matrix L and an upper triangular matrix U. Write a python code to find LU decomposition. the lower
Python Code
Given a unit lower triangular matrix L and an upper triangular matrix U. Write a python code to find LU decomposition.
the lower triangular system Ly = b,
the upper triangular system Ux = y.
The solution with L is referred to as forward elimination, whereas the solution with U is referred to as backward elimination.
The algorithms like that:
Write the forward and backward elimination solves (Ly = b and U x = y).
Text file is the matrix. Read the matrix from given text file. Text file is something like this:
23 3 0.000001370542294
4 4 0.107816040610854
7 4 0.022782277293175
11 4 -0.00921782470662
.. ..
.. ..
.. ..
The file contains 50 lines.
Algorithm 1.1 (Forward elimination). Let L = (lij).j=1 be unit lower triangular, i.e., lii = 1 and lij = 0 for iStep by Step Solution
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