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Eigenvalues for random matrices
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# -*- coding: utf-8 -*- | |
""" | |
Eigenvalues for matrices with random entries with values of 1 or -1 | |
@author: Nicolás Guarín-Zapata | |
@date: November 2022 | |
""" | |
import numpy as np | |
import matplotlib.pyplot as plt | |
repo = "https://raw.githubusercontent.com/nicoguaro/matplotlib_styles/master" | |
style = repo + "/styles/clean.mplstyle" | |
plt.style.use(style) | |
dim = 5 | |
S = 10000 | |
plt.figure(figsize=(8, 8)) | |
for _ in range(S): | |
M = (np.random.rand(dim, dim) > 0.5).astype(float) - 0.5 | |
eigenvals, _ = np.linalg.eig(2*M) | |
plt.scatter(np.real(eigenvals), np.imag(eigenvals), s=20, | |
color='#e41a1c', marker=".", alpha=0.2) | |
plt.axis("image") | |
plt.savefig("random_mats_eigs_5x5.svg", bbox_inches="tight") | |
plt.show() |
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