@article{kas-99-aa-div-tr,
  author = {Masahide Kashiwagi},
  title = {On the Division of the Affine Arithmetic},
  journal = {IEICE Technical Report},
  publisher = {The Institute of Electronics, Information and Communication Engineers},
  volume = {98},
  number = {662},
  pages = {23-29},
  year = 1999,
  month = mar,
  url = {https://ci.nii.ac.jp/naid/110003292159/en/},
  note = {In Japanese. See also~\cite{kas-99-aa-div}}, 
  comment = {Better algorithm for division},
  abstract = {In this report we propose a new method for the division of the affine arithmetic. Affine arithmetic is an extension of the interval arithmetic and it can give narrower result than conventional interval arithmetic. In the affine arithmetic, operations for addition, subtraction, multiplication and 1-variable functions are known, but, operation for division is not known and so division is generally done by decomposing $x/y$ into $x\times (1/y)$. In this report we propose a direct operation for division of affine arithmetic. We also show that our method gives better result than the decomposition method.}
}