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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.html
+7 -4
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@@ -1062,15 +1062,15 @@ $$
<span style="color: #008000; font-weight: bold">from</span> <span style="color: #0000FF; font-weight: bold">mpl_toolkits.mplot3d</span> <span style="color: #008000; font-weight: bold">import</span> axes3d
<span style="color: #008000; font-weight: bold">def</span> <span style="color: #0000FF">f</span>(x):
<span style="color: #008000; font-weight: bold">return</span> <span style="color: #666666">0.5*</span>x[<span style="color: #666666">0</span>]<span style="color: #666666">**2</span> <span style="color: #666666">+</span> <span style="color: #666666">2.5*</span>x[<span style="color: #666666">1</span>]<span style="color: #666666">**2</span>
<span style="color: #008000; font-weight: bold">return</span> x[<span style="color: #666666">0</span>]<span style="color: #666666">**2</span> <span style="color: #666666">+</span> <span style="color: #666666">3.0*</span>x[<span style="color: #666666">1</span>]<span style="color: #666666">**2</span>
<span style="color: #008000; font-weight: bold">def</span> <span style="color: #0000FF">df</span>(x):
<span style="color: #008000; font-weight: bold">return</span> np<span style="color: #666666">.</span>array([x[<span style="color: #666666">0</span>], <span style="color: #666666">5*</span>x[<span style="color: #666666">1</span>]])
<span style="color: #008000; font-weight: bold">return</span> np<span style="color: #666666">.</span>array([<span style="color: #666666">2*</span>x[<span style="color: #666666">0</span>], <span style="color: #666666">6*</span>x[<span style="color: #666666">1</span>]])
fig <span style="color: #666666">=</span> pt<span style="color: #666666">.</span>figure()
ax <span style="color: #666666">=</span> fig<span style="color: #666666">.</span>gca(projection<span style="color: #666666">=</span><span style="color: #BA2121">&quot;3d&quot;</span>)
xmesh, ymesh <span style="color: #666666">=</span> np<span style="color: #666666">.</span>mgrid[<span style="color: #666666">-2</span>:<span style="color: #666666">2</span>:<span style="color: #666666">50</span>j,<span style="color: #666666">-2</span>:<span style="color: #666666">2</span>:<span style="color: #666666">50</span>j]
xmesh, ymesh <span style="color: #666666">=</span> np<span style="color: #666666">.</span>mgrid[<span style="color: #666666">-3</span>:<span style="color: #666666">3</span>:<span style="color: #666666">50</span>j,<span style="color: #666666">-3</span>:<span style="color: #666666">3</span>:<span style="color: #666666">50</span>j]
fmesh <span style="color: #666666">=</span> f(np<span style="color: #666666">.</span>array([xmesh, ymesh]))
ax<span style="color: #666666">.</span>plot_surface(xmesh, ymesh, fmesh)
</pre></div>
@@ -1114,6 +1114,9 @@ pt<span style="color: #666666">.</span>contour(xmesh, ymesh, fmesh, <span style=
it_array <span style="color: #666666">=</span> np<span style="color: #666666">.</span>array(guesses)
pt<span style="color: #666666">.</span>plot(it_array<span style="color: #666666">.</span>T[<span style="color: #666666">0</span>], it_array<span style="color: #666666">.</span>T[<span style="color: #666666">1</span>], <span style="color: #BA2121">&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>
@@ -1494,7 +1497,7 @@ X <span style="color: #666666">=</span> np<span style="color: #666666">.</span>c
H <span style="color: #666666">=</span> (<span style="color: #666666">2.0/</span>n)<span style="color: #666666">*</span> X<span style="color: #666666">.</span>T <span style="color: #666666">@</span> X
<span style="color: #408080; font-style: italic"># Get the eigenvalues</span>
EigValues, EigVectors <span style="color: #666666">=</span> np<span style="color: #666666">.</span>linalg<span style="color: #666666">.</span>eig(H)
<span style="color: #008000">print</span>(EigValues)
<span style="color: #008000">print</span>(<span style="color: #BA2121">f&quot;Eigenvalues of Hessian Matrix:</span><span style="color: #BB6688; font-weight: bold">{</span>EigValues<span style="color: #BB6688; font-weight: bold">}</span><span style="color: #BA2121">&quot;</span>)
beta_linreg <span style="color: #666666">=</span> np<span style="color: #666666">.</span>linalg<span style="color: #666666">.</span>inv(X<span style="color: #666666">.</span>T <span style="color: #666666">@</span> X) <span style="color: #666666">@</span> X<span style="color: #666666">.</span>T <span style="color: #666666">@</span> y
<span style="color: #008000">print</span>(beta_linreg)