Given a system of polynomial equations and inequations with coefficients in the field of rational numbers, we show how to compute a geometric resolution of the set of common roots of the system over the field of complex numbers. A geometric resolution consists of a primitive element of the algebraic
✦ LIBER ✦
An efficient algorithm for computing a comprehensive Gröbner system of a parametric polynomial system
✍ Scribed by Deepak Kapur; Yao Sun; Dingkang Wang
- Book ID
- 118480734
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 347 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0747-7171
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A Gröbner Free Alternative for Polynomia
✍
Marc Giusti; Grégoire Lecerf; Bruno Salvy
📂
Article
📅
2001
🏛
Elsevier Science
🌐
English
⚖ 428 KB
Incomplete Gröbner basis as a preconditi
✍
Yang Sun; Yu-Hui Tao; Feng-Shan Bai
📂
Article
📅
2009
🏛
Elsevier Science
🌐
English
⚖ 446 KB
Precondition plays a critical role in the numerical methods for large and sparse linear systems. It is also true for nonlinear algebraic systems. In this paper incomplete Gröbner basis (IGB) is proposed as a preconditioner of homotopy methods for polynomial systems of equations, which transforms a d
An Algorithm for Computing a Gröbner Bas
✍
Deepak Kapur; Yongyang Cai
📂
Article
📅
2009
🏛
Springer-Verlag
🌐
English
⚖ 726 KB
BIBasis, a package for reduce and Macaul
✍
M. V. Zinin
📂
Article
📅
2012
🏛
SP MAIK Nauka/Interperiodica
🌐
English
⚖ 367 KB
An algorithm for decomposing a polynomia
✍
Ding-kang Wang; Yan Zhang
📂
Article
📅
2007
🏛
SP Science China Press
🌐
English
⚖ 201 KB
A mechanism for computing an efficient s
✍
Gerry L. Suchanek
📂
Article
📅
1977
🏛
Elsevier Science
🌐
English
⚖ 917 KB