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ArithmeticAnalysis/LUdecomposition.py
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+import math
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+import numpy
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+
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+def LUDecompose (table): #table that contains our data
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+ #table has to be a square array so we need to check first
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+ rows,columns=numpy.shape(table)
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+ L=numpy.zeros((rows,columns))
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+ U=numpy.zeros((rows,columns))
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+ if rows!=columns:
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+ return
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+ for i in range (columns):
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+ for j in range(i-1):
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+ sum=0
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+ for k in range (j-1):
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+ sum+=L[i][k]*U[k][j]
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+ L[i][j]=(table[i][j]-sum)/U[j][j]
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+ L[i][i]=1
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+ for j in range(i-1,columns):
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+ sum1=0
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+ for k in range(i-1):
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+ sum1+=L[i][k]*U[k][j]
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+ U[i][j]=table[i][j]-sum1
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+ return L,U
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+matrix =numpy.array([[2,-2,1],[0,1,2],[5,3,1]])
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+L,U = LUDecompose(matrix)
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+print(L)
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+print(U)
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