Solution of Systems of Polynomial Equations by Using Bernstein Expansion

Smith, Andrew Paul; Garloff, Jürgen

Solution of Systems of Polynomial Equations by Using Bernstein Expansion

Dateien

preprint_129.pdfGröße: 212.21 KBDownloads: 226

Datum

2000

Autor:innen

Smith, Andrew Paul

Garloff, Jürgen

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

A method for enclosing all solutions to a system of polynomial equations inside a given box is presented. This method relies on the expansion of a multivariate polynomial into Bernstein polynomials and is a domain-splitting approach. After a pruning step a collection of subboxes remain which undergo an existence test provided by Miranda's Theorem.

Fachgebiet (DDC)

004 Informatik

Zitieren

ISO 690

SMITH, Andrew Paul, Jürgen GARLOFF, 2000. Solution of Systems of Polynomial Equations by Using Bernstein Expansion

BibTex

@unpublished{Smith2000Solut-610,
  year={2000},
  title={Solution of Systems of Polynomial Equations by Using Bernstein Expansion},
  author={Smith, Andrew Paul and Garloff, Jürgen}
}

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