Incomplete Gröbner basis as a preconditioner for polynomial systems
- Author
- YANG SUN1 ; TAO, Yu-Hui1 ; BAI, Feng-Shan1
[1] Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China - Conference title
- The First International Conference on Numerical Algebra and Scientific Computing (NASC06)
- Conference name
- International Conference on Numerical Algebra and Scientific Computing (NASC06) (NASC06) (1 ; Beijing 2006-10)
- Author (monograph)
- BAI, Zhong-Zhi (Editor)1 ; REICHEL, Lothar (Editor)2 ; SHI, Zhong-Ci (Editor)3
Chinese Academy of Sciences, Beijing, China (Organiser of meeting)
[1] Institute of Computational Mathematics, Chinese Academy of Sciences, Beijing, China
[2] Department of Mathematical Sciences, Kent State University, Kent, United States
[3] Institute of Computational Mathematics, Chinese Academy of Sciences, Beijing, China - Source
Journal of computational and applied mathematics. 2009, Vol 226, Num 1, pp 2-9, 8 p ; ref : 20 ref
- CODEN
- JCAMDI
- ISSN
- 0377-0427
- Scientific domain
- Computer science; Mathematics
- Publisher
- Elsevier, Kidlington
- Publication country
- United Kingdom
- Document type
- Conference Paper
- Language
- English
- Author keyword
- 65H10 65H20 Homotopy continuation method Incomplete Gröbner basis (IGB) Precondition Subtraction polynomial (S-polynomial)
- Keyword (fr)
- Algèbre linéaire numérique Analyse numérique Equation polynomiale Grand système Homotopie Inversion matrice Mathématiques appliquées Méthode continuation Méthode directe Méthode numérique Méthode polynomiale Polynôme Préconditionnement Système linéaire Système non linéaire Système équation 13P10 14C20 65F05
- Keyword (en)
- Numerical linear algebra Numerical analysis Polynomial equation Large system Homotopy Matrix inversion Applied mathematics Continuation method Direct method Numerical method Polynomial method Polynomial Preconditioning Linear system Non linear system Equation system
- Keyword (es)
- Algebra lineal numérica Análisis numérico Ecuación polinomial Gran sistema Homotopía Inversión matriz Matemáticas aplicadas Método continuación Método directo Método numérico Método polinomial Polinomio Precondicionamiento Sistema lineal Sistema no lineal Sistema ecuación
- Classification
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02C Algebra / 001A02C04 Commutative rings and algebras
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02C Algebra / 001A02C05 Algebraic geometry
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02I Numerical analysis. Scientific computation / 001A02I01 Numerical analysis / 001A02I01E Numerical linear algebra
- Discipline
- Mathematics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 21331903
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
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DOI
10.1016/j.cam.2008.05.054 
https://dx.doi.org/10.1016/j.cam.2008.05.054
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