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43 lines
1.1 KiB
Python
43 lines
1.1 KiB
Python
import math
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class LinearAlgebraUtils:
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@staticmethod
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def dot_product(v1, v2):
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return sum(x*y for x, y in zip(v1, v2))
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@staticmethod
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def matrix_vector_multiply(A, x):
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return [LinearAlgebraUtils.dot_product(row, x) for row in A]
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@staticmethod
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def matrix_scalar_multiply(A, w):
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return [[w * A[i][j] for j in range(len(A[0]))] for i in range(len(A))]
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@staticmethod
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def vector_vector_subtraction(v1, v2):
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return [x-y for x, y in zip(v1, v2)]
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@staticmethod
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def vector_vector_addition(v1, v2):
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return [x+y for x, y in zip(v1, v2)]
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@staticmethod
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def scalar_matrix_multiply(omega, vector):
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return [omega * x for x in vector]
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@staticmethod
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def vector_norm(v):
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return sum(x*x for x in v)**0.5
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@staticmethod
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def matrix_norm(A):
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return math.sqrt(sum(sum(element ** 2 for element in row) for row in A))
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@staticmethod
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def vector_scalar_divide(x, scalar):
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return [xi / scalar for xi in x]
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@staticmethod
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def matrix_matrix_subtraction(A, B):
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return [[A[i][j] - B[i][j] for j in range(len(A[0]))] for i in range(len(A))]
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