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Perturbation results on the zero-locus of a polynomial.

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Title: Perturbation results on the zero-locus of a polynomial.
Authors: Torrente, Maria-Laura1 torrente@dima.unige.it, Beltrametti, Mauro C.1 beltrametti@dima.unige.it, Sommese, Andrew J.2 sommese@nd.edu
Source: Journal of Symbolic Computation. May2017 Part 2, Vol. 80, p307-328. 22p.
Subjects: Perturbation theory, Polynomials, Multivariate analysis, Euclidean distance, Univariate analysis
Abstract: Let f and g be complex multivariate polynomials of the same degree. Extending Beauzamy's results which hold in the univariate case, we bound the Euclidean distance of points belonging to the zero-loci of f and g in terms of the Bombieri norm of the difference g − f . We also discuss real perturbations of real polynomials. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Symbolic Computation is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 119653718
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Perturbation results on the zero-locus of a polynomial.
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  Data: <searchLink fieldCode="AR" term="%22Torrente%2C+Maria-Laura%22">Torrente, Maria-Laura</searchLink><relatesTo>1</relatesTo><i> torrente@dima.unige.it</i><br /><searchLink fieldCode="AR" term="%22Beltrametti%2C+Mauro+C%2E%22">Beltrametti, Mauro C.</searchLink><relatesTo>1</relatesTo><i> beltrametti@dima.unige.it</i><br /><searchLink fieldCode="AR" term="%22Sommese%2C+Andrew+J%2E%22">Sommese, Andrew J.</searchLink><relatesTo>2</relatesTo><i> sommese@nd.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Symbolic+Computation%22">Journal of Symbolic Computation</searchLink>. May2017 Part 2, Vol. 80, p307-328. 22p.
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  Data: <searchLink fieldCode="DE" term="%22Perturbation+theory%22">Perturbation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Polynomials%22">Polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Multivariate+analysis%22">Multivariate analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Euclidean+distance%22">Euclidean distance</searchLink><br /><searchLink fieldCode="DE" term="%22Univariate+analysis%22">Univariate analysis</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Let f and g be complex multivariate polynomials of the same degree. Extending Beauzamy's results which hold in the univariate case, we bound the Euclidean distance of points belonging to the zero-loci of f and g in terms of the Bombieri norm of the difference g − f . We also discuss real perturbations of real polynomials. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Symbolic Computation is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.jsc.2016.04.001
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      – Code: eng
        Text: English
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        PageCount: 22
        StartPage: 307
    Subjects:
      – SubjectFull: Perturbation theory
        Type: general
      – SubjectFull: Polynomials
        Type: general
      – SubjectFull: Multivariate analysis
        Type: general
      – SubjectFull: Euclidean distance
        Type: general
      – SubjectFull: Univariate analysis
        Type: general
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      – TitleFull: Perturbation results on the zero-locus of a polynomial.
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            NameFull: Torrente, Maria-Laura
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            NameFull: Beltrametti, Mauro C.
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            NameFull: Sommese, Andrew J.
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              Text: May2017 Part 2
              Type: published
              Y: 2017
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              Value: 80
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            – TitleFull: Journal of Symbolic Computation
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