QR-algebraic method for approximating zeros of system of polynomials

Hani Khashan; Muhammed I. Syam

doi:10.1080/00207160903201724

QR-algebraic method for approximating zeros of system of polynomials

Hani Khashan
, Muhammed I. Syam

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We present a new method for computing zeros of polynomial systems using the algebraic solver and the QR-method. It is based on the theory of algebraic solvers. The unstable calculation of the determinant of the large matrix is replaced by a stable technique using the QR-method. Algorithms and numerical results are presented.

Original language	English
Pages (from-to)	110-120
Number of pages	11
Journal	International Journal of Computer Mathematics
Volume	88
Issue number	1
DOIs	https://doi.org/10.1080/00207160903201724
Publication status	Published - Jan 2011

Keywords

QR-method
algebraic solver
polynomial systems

ASJC Scopus subject areas

Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

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10.1080/00207160903201724

Cite this

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title = "QR-algebraic method for approximating zeros of system of polynomials",

abstract = "We present a new method for computing zeros of polynomial systems using the algebraic solver and the QR-method. It is based on the theory of algebraic solvers. The unstable calculation of the determinant of the large matrix is replaced by a stable technique using the QR-method. Algorithms and numerical results are presented.",

keywords = "QR-method, algebraic solver, polynomial systems",

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AB - We present a new method for computing zeros of polynomial systems using the algebraic solver and the QR-method. It is based on the theory of algebraic solvers. The unstable calculation of the determinant of the large matrix is replaced by a stable technique using the QR-method. Algorithms and numerical results are presented.

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KW - algebraic solver

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JO - International Journal of Computer Mathematics

JF - International Journal of Computer Mathematics

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QR-algebraic method for approximating zeros of system of polynomials

Abstract

Keywords

ASJC Scopus subject areas

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