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authorElizabeth Hunt <elizabeth.hunt@simponic.xyz>2023-11-27 14:45:48 -0700
committerElizabeth Hunt <elizabeth.hunt@simponic.xyz>2023-11-27 14:54:39 -0700
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parent793c01c9bd61a5b461b44fc7ede04cc1dd90a4ec (diff)
downloadcmath-0981ffa00ce520df1134714206a70bcc1a08303e.tar.gz
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q5 hw7
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@@ -41,3 +41,21 @@ With the initial guess: $[0.5, 1.0, 0.75]$.
See also the entry ~Eigen-Adjacent -> shift_inverse_power_eigenvalue~ in the LIZFCM API
documentation.
+* Question Five
+See ~UTEST(eigen, partition_find_eigenvalues)~ in ~test/eigen.t.c~ which
+finds the eigenvalues in a partition of 10 on the matrix:
+
+\begin{bmatrix}
+2 & 2 & 4 \\
+1 & 4 & 7 \\
+0 & 2 & 6
+\end{bmatrix}
+
+which has eigenvalues: $5 + \sqrt{17}, 2, 5 - \sqrt{17}$, and should produce all three from
+the partitions when given the guesses $[0.5, 1.0, 0.75]$ from the questions above.
+
+See also the entry ~Eigen-Adjacent -> partition_find_eigenvalues~ in the LIZFCM API
+documentation.
+
+* Question Six
+