520-419 Theory of Iterative Algorithms Fall 1997

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 Picard Schema:
schema and characteristic set
analysis andd synthesis
the Liapunov matrix equation
doubling scheme
cluster point set
periodic points
schema without stop rule
The Monotonic Deterministic Picard Schema:
introduction
the cluster point set of the monotonic DP-schema
differential formulation of monotonicity
Appendix:
topological concepts in E^n
bounded and Cauchy sequences
asymptotically regular sequences
monotonic sequences

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Calendar September 1997 October 1997 November 1997 December 1997

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