@phdthesis{miz-04-aa-nonex-thesis,
  author = {Mizuguchi, Yoshio},
  title = {Evaluation of Removal Performance of Non-existence Region of Solution using Affine Arithmetic},
  school = {Waseda University},
  year = 2004,
  note = {In Japanese},
  abstract = {[Google transtalion:] One of the methods for finding the solution of an equation such as a curve or a curved surface is to determine a region where a solution does not exist and remove the region. At this time, the interval arithmetic is used, but the interval arithmetic has a drawback that the obtained interval width is often extremely wide, so that the determination performance is not always good. Affine Arithmetic proposed by Stolfi is a method of interval arithmetic, and by converting a given interval into a format called Affine format, it is possible to perform calculations considering the correlation between variables. Therefore, it is possible to suppress an increase in the section width as in the conventional case. This time, in order to evaluate the removal performance of the non-existent region of the solution, we decided to verify it by using a concrete example.}
}