Outline

Motivation

Operations

Representations

Vectorization

Rank

Conclusions

Timings of vectorized operations


Example tn,s %mon %comp %div %add $\displaystyle \frac{t_{n,s}}{t_s}$ $\displaystyle \frac{t_{n,c}}{t_c}$ $\displaystyle \frac{t_s}{t_c}$ $\displaystyle \frac{t_{1.0}}{t_{n,s}}$ $\displaystyle \frac{t_{1.0}}{t_c} $
homog cyclic 7 125.8 72.5 33.6 11.8 27.1 1.5 1.9 1.3 1.3 2.6
2mat3 123.1 80.2 75.7 1.9 2.6 1.2 1.4 1.4 1.2 2.0
averages of 30+ examples (char 32003, DegRevLex ordering)
Pentium Pro 103.3 69.8 38.4 15.6 15.8 1.4 1.6 1.2 1.2 2.2
HP C160 125.4 69.0 41.7 17.9 9.5 1.2 1.5 1.3 1.8 2.9
DEC Alpha 221.4 69.8 37.7 16.1 16.0 1.7 1.7 1.2 1.1 2.3
 

Examples are available at: http://www.mathematik.uni-kl.de/~zca/Reports_on_ca/18/

ISSAC'98 http://www.singular.uni-kl.de