Benchmarking Cyclotomic Linear Algebra

Systems:

Operating Systems / Hardware:

Benchmarks:

  1. Matrix addition
  2. Matrix vector product
  3. Matrix multiplication
  4. Determinant
  5. Rank
  6. Characteristic Polynomial some benchmarks here

  7. Reduced row echelon form
  8. Sparse reduced row echelon form
  9. Solving A*x = b and A*X = B
  10. Kernel
  11. Rational decomposition

A good source of matrices that we care about:

Below, replace 23 by any of 23, 67, 89, 199, and p=2 in the last line below by any positive integer:

ModularSymbols_clear_cache()
eps = DirichletGroup(23*3, CyclotomicField(11)).1^2
M = ModularSymbols(eps); M
t = M.hecke_matrix(2)

cyclo/benchmark (last edited 2008-11-14 13:41:59 by localhost)