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27 lines
786 B
Python
27 lines
786 B
Python
import numpy as np
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class MatrixGenerator:
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@staticmethod
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def generate_spd_matrix(n: int) -> np.ndarray:
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"""
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Generates a random symmetric positive definite matrix of size n x n.
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Parameters:
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n (int): The size of the matrix to generate.
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Returns:
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np.ndarray: A symmetric positive definite matrix of size n x n.
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"""
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A = np.random.rand(n, n)
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spd_matrix = np.dot(A, A.T) + n * np.eye(n) # Adding n*I ensures positive definiteness
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return spd_matrix
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@staticmethod
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def generate_random_matrix_and_vector(size):
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A = MatrixGenerator.generate_spd_matrix(size)
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b = np.random.uniform(-1, 1, size)
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return A, b
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def generate_identity_matrix(size):
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return np.eye(size)
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