Counting solutions of polynomial systems via iterated fibrations
โ Scribed by Wilhelm Plesken
- Book ID
- 105755763
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 192 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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 ยดzout theorems and further generalize the mix
A new time-domain approach to the derivation of a Chebyshev scale matrix is presented. The derived Chebyshev scale matrix, together with the Chebyshev integration matrix, is used to analyze differential equations containing terms with a scaled argument. The results are expressed in terms of Chebyshe
We present a complete and practical algorithm which can determine the number of distinct real solutions of a given polynomial system of equations and inequalities with integer coefficients mechanically. Based on this algorithm, a program called nearsolve has been implemented in Maple. The algorithm