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typo corrections

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Morten Hjorth-Jensen
2021-09-30 10:47:41 +02:00
parent 43877d18ff
commit 03084febf3
6 changed files with 32 additions and 20 deletions
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doc/pub/week39/html/week39-solarized.html
+7 -4
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@@ -1057,15 +1057,15 @@ $$
<span style="color: #8B008B; font-weight: bold">from</span> <span style="color: #008b45; text-decoration: underline">mpl_toolkits.mplot3d</span> <span style="color: #8B008B; font-weight: bold">import</span> axes3d
<span style="color: #8B008B; font-weight: bold">def</span> <span style="color: #008b45">f</span>(x):
<span style="color: #8B008B; font-weight: bold">return</span> <span style="color: #B452CD">0.5</span>*x[<span style="color: #B452CD">0</span>]**<span style="color: #B452CD">2</span> + <span style="color: #B452CD">2.5</span>*x[<span style="color: #B452CD">1</span>]**<span style="color: #B452CD">2</span>
<span style="color: #8B008B; font-weight: bold">return</span> x[<span style="color: #B452CD">0</span>]**<span style="color: #B452CD">2</span> + <span style="color: #B452CD">3.0</span>*x[<span style="color: #B452CD">1</span>]**<span style="color: #B452CD">2</span>
<span style="color: #8B008B; font-weight: bold">def</span> <span style="color: #008b45">df</span>(x):
<span style="color: #8B008B; font-weight: bold">return</span> np.array([x[<span style="color: #B452CD">0</span>], <span style="color: #B452CD">5</span>*x[<span style="color: #B452CD">1</span>]])
<span style="color: #8B008B; font-weight: bold">return</span> np.array([<span style="color: #B452CD">2</span>*x[<span style="color: #B452CD">0</span>], <span style="color: #B452CD">6</span>*x[<span style="color: #B452CD">1</span>]])
fig = pt.figure()
ax = fig.gca(projection=<span style="color: #CD5555">&quot;3d&quot;</span>)
xmesh, ymesh = np.mgrid[-<span style="color: #B452CD">2</span>:<span style="color: #B452CD">2</span>:<span style="color: #B452CD">50</span>j,-<span style="color: #B452CD">2</span>:<span style="color: #B452CD">2</span>:<span style="color: #B452CD">50</span>j]
xmesh, ymesh = np.mgrid[-<span style="color: #B452CD">3</span>:<span style="color: #B452CD">3</span>:<span style="color: #B452CD">50</span>j,-<span style="color: #B452CD">3</span>:<span style="color: #B452CD">3</span>:<span style="color: #B452CD">50</span>j]
fmesh = f(np.array([xmesh, ymesh]))
ax.plot_surface(xmesh, ymesh, fmesh)
</pre></div>
@@ -1109,6 +1109,9 @@ pt.contour(xmesh, ymesh, fmesh, <span style="color: #B452CD">50</span>)
it_array = np.array(guesses)
pt.plot(it_array.T[<span style="color: #B452CD">0</span>], it_array.T[<span style="color: #B452CD">1</span>], <span style="color: #CD5555">&quot;x-&quot;</span>)
</pre></div>
<p>
Note that we did only one iteration here. We can easily add more using our previous guesses.
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
@@ -1489,7 +1492,7 @@ X = np.c_[np.ones((n,<span style="color: #B452CD">1</span>)), x]
H = (<span style="color: #B452CD">2.0</span>/n)* X.T @ X
<span style="color: #228B22"># Get the eigenvalues</span>
EigValues, EigVectors = np.linalg.eig(H)
<span style="color: #658b00">print</span>(EigValues)
<span style="color: #658b00">print</span>(<span style="color: #CD5555">f&quot;Eigenvalues of Hessian Matrix:{</span>EigValues<span style="color: #CD5555">}&quot;</span>)
beta_linreg = np.linalg.inv(X.T @ X) @ X.T @ y
<span style="color: #658b00">print</span>(beta_linreg)