Outline
Motivation
Operations
Representations
Vectorization
Rank
Conclusions
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Motivation
- Algorithmical, theoretical aspects of GB
computations
- systematic research; many publications; well
recognized progress
- Implementational aspects of GB computations
- often unsystematic research; few publications; progress
usually not well-recognized
- Our goal: Systematically examine implementational aspects of GB computations
- coefficient arithmetic
- memory management
- polynomial and monomial representations/operations
- algorithmic refinements driven by implementational
aspects
Our start: Monomial representations/operations
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