@article{41167a17bd2249c4a3762cdb753cb70e,
title = "Existence test for solution of nonlinear systems applying affine arithmetic",
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.",
keywords = "Affine arithmetic, Interval analysis, Nonlinear systems",
author = "Shinya Miyajima and Masahide Kashiwagi",
note = "Funding Information: This research was partially supported by Grant-in-Aid for Young Scientists (B) (16760057, 2004–2006) from the Ministry of Education, Science, Sports and Culture of Japan.",
year = "2007",
month = feb,
day = "15",
doi = "10.1016/j.cam.2005.08.051",
language = "English",
volume = "199",
pages = "304--309",
journal = "Journal of Computational and Applied Mathematics",
issn = "0377-0427",
publisher = "Elsevier",
number = "2",
}