AAE-NA-Labs/01_Direct-Methods-for-Solving-Linear-Systems/Report/problems/Problem12.tex

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2023-03-11 20:08:05 +01:00
\subsection{Problem 12}
Compute the QR factorization of the matrix:
\begin{equation*}
\matr{A} =
\begin{bmatrix}
0 & -1 & -3 \\
0 & \phantom{-}0 & -2 \\
0 & -2 & -1
\end{bmatrix}
\end{equation*}
How many flops (multiplications/divisions, additions/subtractions) are needed to perform the QR factorization with the Householder transformations and Givens rotations?