| Title | Structure and Efficient Computation of Multiplication Tables and Associated Quadratic Forms |
| Author(s) | Hoon Hong, Josef Schicho, Wolfgang |
| Type | Technical Report, Misc |
| Abstract | We characterize the multiplication table of an algebra with a multiplicative unity and derive properties of multiplication tables and associated quadratic forms, which allow efficient computation. We compare several ways of computing a multiplication table and associated quadratic
forms. By index permutation the complexity of the computation time of associated quadratic forms can be reduced. Exploiting the structure concerning equal entries in the multiplication table gives a further speedup. We apply our results to the case of the factor ring K[\bar{x}]/I and give speedups in the appendix. |
| Length | 8 |
| File |
|
| Language | English |
| Number | 95-51 |
| Address | Johannes Kepler University, Linz, Austria |
| Year | 1995 |
| Edition | 0 |
| Translation |
No |
| Refereed |
No |
| Organization |
Johannes Kepler University Linz |
| Institution |
RISC (Research Institute for Symbolic Computation) |
