520-419 Theory and Design of Iterative Algorithms Fall 2000

Topics

Problems and Algorithm Representations
solution set and relations between problems,
parameterized families of problems,
problem formulations,
algorithm description and classification,
family of sequences,
miscellaneaous considerations.
The Deterministic Iterative Schema
schema and characteristic set
analysis andd synthesis
the Liapunov matrix equation
doubling scheme
cluster point set
periodic points
schema without stop rule
Contractive and Affine Maps
Appendix
topological concepts in E^n
bounded and Cauchy sequences
asymptotically regular sequences
monotonic sequences

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