Stable border bases for ideals of points

• Autores: John Abbott, Claudia Fassino, Maria Laura Torrente
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 43, Nº 12, 2008, págs. 883-894
• Idioma: inglés
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• Resumen

  • Let be a set of points whose coordinates are known with limited accuracy; our aim is to give a characterization of the vanishing ideal independent of the data uncertainty. We present a method to compute, starting from , a polynomial basis of which exhibits structural stability, that is, if is any set of points differing only slightly from , there exists a polynomial set structurally similar to , which is a basis of the perturbed ideal