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 1. Sparse reduced row echelon form

Benchmarking Cyclotomic Linear Algebra

Systems:

  • Magma-2.14 and Magma-2.13
  • PARI-2.3.3
  • Sage-3.0

Operating Systems / Hardware:

  • 32-bit OS X intel 2.6Ghz core 2 duo natively
  • 64-bit Linux runnong on 1.8Ghz Opteron natively
  • 32-bit Linux running on 2.6Ghz core 2 duo (under vmware)
  • 64-bit Linux running on 2.6Ghz core 2 duo (under vmware)

Benchmarks:

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

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