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diff --git a/homeworks/hw-7.org b/homeworks/hw-7.org index ec8c23d..e18d1ee 100644 --- a/homeworks/hw-7.org +++ b/homeworks/hw-7.org @@ -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 + |