Oct 2, 2014
ECE1254H Modeling of Multiphysics Systems. Lecture 6: Singular value decomposition, and conditioning number. Taught by Prof. Piero Triverio
ECE1254H Modeling of Multiphysics Systems. Lecture 6: Singular value decomposition, and conditioning number. Taught by Prof. Piero Triverio
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Disclaimer
Peeter’s lecture notes from class. These may be incoherent and rough.
Matrix norm
We’ve defined the matrix norm of \( M \), for the system \( \overline{{y}} = M \overline{{x}} \) as
\begin{equation}\label{eqn:multiphysicsL6:21} \Norm{M} = \max_{\Norm{\overline{{x}}} = 1} \Norm{ M \overline{{x}} }. \end{equation}
We…
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