Contractivity for Linear Problems
The stability analysis of the preceeding sections is based on the transformation of the Jacobian J ≈ ∂f / ∂y to diagonal form (see Formulas (2.5), (2.6) of Sect. IV.2). Especially for large-dimensional problems, however, the matrix which performs this transformation may be badly conditioned and destroy all the nice estimations which have been obtained.
Unable to display preview. Download preview PDF.