A multivariable polynomial is associated with a polytope, called its Newton polytope. A polynomial is absolutely irreducible if its Newton polytope is indecomposable in the sense of Minkowski sum of polytopes. Two general constructions of indecomposable polytopes are given, and they give many simple
β¦ LIBER β¦
Zero-patterns of polynomials and Newton polytopes
β Scribed by Alan G.B Lauder
- Book ID
- 108396251
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 138 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Absolute Irreducibility of Polynomials v
β
Shuhong Gao
π
Article
π
2001
π
Elsevier Science
π
English
β 139 KB
Irreducibility of polynomials modulo p v
β
Shuhong Gao; VirgΔ±Μnia M. Rodrigues
π
Article
π
2003
π
Elsevier Science
π
English
β 184 KB
Counting Affine Roots of Polynomial Syst
β
J.Maurice Rojas; Xiaoshen Wang
π
Article
π
1996
π
Elsevier Science
π
English
β 289 KB
We give a new upper bound on the number of isolated roots of a polynomial system. Unlike many previous bounds, our bound can also be restricted to different open subsets of affine space. Our methods give significantly sharper bounds than the classical Be Β΄zout theorems and further generalize the mix
Decomposition of Polytopes and Polynomia
β
S. Gao; A. G. B. Lauder
π
Article
π
2001
π
Springer
π
English
β 88 KB
Newton sum rules of zeros of semiclassic
β
A. Zarzo; J.S. Dehesa; A. Ronveaux
π
Article
π
1990
π
Elsevier Science
π
English
β 965 KB
Ehrhart Polynomials of Matroid Polytopes
β
JesΓΊs A. De Loera; David C. Haws; Matthias KΓΆppe
π
Article
π
2008
π
Springer
π
English
β 127 KB