Abstract
In this paper, we investigate a decomposition of the space of reduced rational functions of fixed degree into continued fraction cells. We give a variety of combinatorial formulas pertaining to this decomposition and investigate the effect of certain scalings on the decomposition. We conjecture that the continued fraction decomposition is indeed a cell decomposition in the topological sense. We provide evidence in low dimensions for this to be true.
Original language | English |
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Pages (from-to) | 137-150 |
Number of pages | 14 |
Journal | IMA Journal of Mathematical Control and Information |
Volume | 3 |
Issue number | 2-3 |
DOIs | |
State | Published - 1 Dec 1986 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Control and Optimization
- Applied Mathematics