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Real perturbations of complex polynomials

โœ Scribed by Jorge Iglesias; Aldo Portela

Book ID
106188283
Publisher
Springer
Year
2007
Tongue
English
Weight
295 KB
Volume
38
Category
Article
ISSN
1678-7714

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๐Ÿ“œ SIMILAR VOLUMES

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A method is proposed to quickly calculate a lower bound for the size of stability-preservin9 perturbations in the coefficients of real Schur polynomials. The feature of the method is, above all, its simplicity : we have only to invert a certain real matrix and to sum up the modulus of all the entrie

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## Abstract We study the regularity of the roots of complex monic polynomials __P__ (__t__) of fixed degree depending smoothly on a real parameter __t__. We prove that each continuous parameterization of the roots of a generic __C__^โˆž^ curve __P__ (__t__) (which always exists) is locally absolutely