Marais, Magdaleen S.Steenpaß, Andreas2015-08-212015-08-212015-05Marais, MS & Steenpaß, A 2015, 'The classification of real singularities using Singular Part I : Splitting Lemma and simple singularities', Journal of Symbolic Computation, vol. 68, pp. 61-71.0747-7171 (print)1095-855X (online)10.1016/j.jsc.2014.08.007http://hdl.handle.net/2263/49441We present algorithms to classify isolated hypersurface singularities over the real numbers according to the classification by V.I. Arnold (Arnold et al., 1985). This first part covers the splitting lemma and the simple singularities; a second and a third part will be devoted to the unimodal singularities up to corank 2. All algorithms are implemented in the Singular library realclassify.lib (Marais and Steenpaß, 2012).en© 2014 Elsevier Ltd. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Journal of Symbolic Computation.Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Symbolic Computation, vol. 68, pp. 61-71, 2015. doi : 10.1016/j.jsc.2014.08.007.Hypersurface singularitiesAlgorithmic classificationReal geometryPostprint Article