SADDLES

The package OreMorphisms is a homological algebraic package for factoring, reducing and decomposing linear functional systems. It is based on the package OreModules.

For explanations on these packages, see

• T. Cluzeau, A. Quadrat,"OreMorphisms: A homological algebraic package for factoring, reducing and decomposing linear functional systems", in Topics in Time-Delay Systems: Analysis, Algorithms and Control, J.-J. Loiseau, W. Michiels, S.-I. Niculescu, R. Sipahi, Lecture Notes in Control and Information Sciences (LNCIS), vol. 388, Springer, 2009, pp. 179-196.
• F. Chyzak, A. Quadrat, D. Robertz, "OreModules: A symbolic package for the study of multidimensional linear systems", in Applications of Time-Delay Systems, J. Chiasson et J.-J. Loiseau, (Eds.), Lecture Notes in Control and Information Sciences (LNCIS), vol. 352, Springer, 2007, pp. 233-264.

Examples of computations for the design of new Domain Decomposition algorithms using the OreModules package:

• Reduction of Interface Conditions
• Smith variables, completion and Reduction of Interface Conditions