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markov.py
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markov.py
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import copy
def power_method(M, w0, k):
result = copy.deepcopy(M)
result = multiply_matrix([w0], result)
for _ in range(k): result = multiply_matrix(result, M)
return result
def multiply_matrix(A, B):
result = [[0]*len(B[0]) for i in range(len(A))]
# iterate through rows of A
for i in range(len(A)):
# iterate through columns of B
for j in range(len(B[0])):
# iterate through rows of B
for k in range(len(B)):
result[i][j] += A[i][k] * B[k][j]
return result
if __name__ == "__main__":
matrix_file = open("snakes_matrix.txt", "r")
matrix = [list(map(float,line.split(","))) for line in matrix_file]
w = [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
result = power_method(matrix,w,100)
print(result[35])