Computation of Minkowski values of polynomials over complex sets
type: Item
instance of: scholarly article
title: Computation of Minkowski values of polynomials over complex sets
zbMATH Open document ID: 1073.12006
author: Rida T. Farouki
author: Chang Yong Han
published in: Numerical Algorithms
publication date: 2004-08-06T00:00:00Z
review text: The Minkowski geometric algebra of subsets of the complex plane can be considered as a generalization of the arithmetic of intervals of the real line, which is important in the study of errors in Numerical Analysis. Here the authors study, with respect to the Minkowski geometric algebra, the image of subsets of the complex plane by a polynomial. Technical difficulties are studied in detail.
Mathematics Subject Classification ID: 12Y05
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 2081592
zbMATH Keywords: Minkowski geometric algebra
zbMATH Keywords: complex variables
zbMATH Keywords: polynomial value sets
zbMATH Keywords: envelopes of family of curves
reviewed by: Maurice Mignotte
MaRDI profile type: Publication
DOI: 10.1023/B:NUMA.0000027725.80448.D8
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description: scientific article; zbMATH DE number 2081592