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Questions related to whether the sequence of iterates generated by an iterative method has one or more limit points, and if those limit points have the correct properties.
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Implementing Gelfand’s formula for the spectral radius in Python - lack of convergence
For context: Gelfand's formula for the spectral radius is $\lim_{k\rightarrow \infty}|A^k|^{1/k}$ where $|\cdot|$ is any well-defined operator norm.
I naively coded a function to calculate the $k$th …
1
vote
Accepted
Implementing Gelfand’s formula for the spectral radius in Python - lack of convergence
8]])
for k in range(1, 100):
term = kth_term(a, k)
print("k={}: {}".format(k, term))
plt.plot(k, term, 'rx')
plt.plot(k, term, 'rx', label="kth term")
plt.title("Convergence …