Week 6 Numerical Stability¶
The material in this chapter has be adapted from
 Paolo Bientinesi, Robert A. van de Geijn, Goal-Oriented and Modular Stability Analysis, SIAM Journal on Matrix Analysis and Applications , Volume 32 Issue 1, February 2011.
and the technical report version of that paper (which includes exercises)
 Paolo Bientinesi, Robert A. van de Geijn, The Science of Deriving Stability Analyses, FLAME Working Note #33. Aachen Institute for Computational Engineering Sciences, RWTH Aachen. TR AICES-2008-2. November 2008.
We recommend the technical report version for those who want to gain a deep understanding. Some of the materials in those papers has been used verbatim, with permission from the authors.
In this chapter, we focus on computation with real-valued scalars, vectors, and matrices.