References

Key references behind DSArith concepts and benchmarks:

  1. J. M. Chesneaux, J. Vignes, The CESTAC Method for Numerical Validation.
  2. J.-M. Chesneaux et al., CADNA: a Library for Estimating Round-off Error Propagation.
  3. S. M. Rump, Algorithms for Verified Inclusions: Theory and Practice (Rump polynomial benchmark context).
  4. N. J. Higham, Accuracy and Stability of Numerical Algorithms, SIAM.

These works motivate stochastic arithmetic, significance estimation, computational zero, and instability diagnostics used in this package.