@article{miy-kas-07-aa-exist,
  author = {Shinya Miyajima and Masahide Kashiwagi},
  title = {Existence Test for Solution of Nonlinear Systems Applying Affine Arithmetic},
  journal = {Journal of Computational and Applied Mathematics},
  volume = {199},
  number = {2},
  pages = {304-309},
  year = 2007,
  note = {Special Issue on Scientific Computing, Computer Arithmetic, and Validated Numerics (SCAN 2004)},
  issn = {0377-0427},
  doi = {10.1016/j.cam.2005.08.051},
  comment = {Existence test using Newton criterion?},
  abstract = {A computational test is proposed for existence of solution in nonlinear systems. In this test, an interval inclusion of Newton mapping is estimated applying affine arithmetic. Numerical examples are presented to show the efficiency of this test.}
}