Archiu:Gershgorin Disk Theorem Example.svg
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Resolució completa. ((Image SVG, nominalment 503 × 344 pixels, tamany d'archiu: 24 kB))
Summary
| Description |
English: Gershgorin disk theorem example. This diagram shows the discs in yellow derived for the eigenvalues. The first two disks overlap and their union contains two eigenvalues. The third and fourth disks are disjoint from the others and contain one eigenvalue each. |
| Date | |
| Source | Own work |
| Author | Nicoguaro |
| SVG development |  This plot was created with Matplotlib. |
| Source code | Python codeimport numpy as np
import matplotlib.pyplot as plt
# Graph setup
yellow = "#e9eabb"
blue = "#122a8c"
gray = '#757575'
plt.rcParams["text.color"] = gray
plt.rcParams["font.size"] = 12
plt.rcParams["xtick.color"] = gray
plt.rcParams["ytick.color"] = gray
plt.rcParams["axes.labelcolor"] = gray
plt.rcParams["axes.edgecolor"] = gray
plt.rcParams["axes.spines.right"] = False
plt.rcParams["axes.spines.top"] = False
A = np.array([
[10, -1, 0, 1],
[0.2, 8, 0.2, 0.2],
[1, 1, 2, 1],
[-1, -1, -1, -11]])
vals = np.linalg.eigvals(A)
fig = plt.figure(figsize=(6, 4))
for cont, val in enumerate(vals):
real = np.real(val)
imag = np.imag(val)
center = A[cont, cont]
radius = sum(np.abs(A[cont, k]) for k in range(4) if k != cont)
circle = plt.Circle((center, 0), radius, color=yellow)
plt.plot(real, imag, color=blue, marker="x", linewidth=0)
plt.gca().add_artist(circle)
plt.legend(["Eigenvalues"], frameon=False)
plt.xlabel("Real axis")
plt.ylabel("Imaginary axis")
plt.yticks([-10, -5, 0, 5, 10])
plt.axis("image")
plt.xlim(-15, 15)
plt.ylim(-10, 10)
plt.savefig("Gershgorin Disk Theorem Example.svg", bbox_inches="tight")
plt.show()
|
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
Historial de l'image
Puncha en la data/hora per a vore l'image tal i com es mostrava en eixe moment.
| Data/Hora | Miniatura | Dimensions | Usuari | Descripció | |
|---|---|---|---|---|---|
| actual | 19:44 15 feb 2019 | | 503 × 344 (24 kB) | wikimediacommons>Nicoguaro | User created page with UploadWizard |
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