摘要翻译:
求两个系数近似的多元多项式的公因子是符号-数值计算中的一个问题。对这个问题采取热带观点导致有效的预处理技术,对精确指数应用多面体方法,对近似系数应用数值技术。在Maple中,我们将说明我们对热带代数几何的使用。
---
英文标题:
《Tropical Algebraic Geometry in Maple, a preprocessing algorithm for
finding common factors to multivariate polynomials with approximate
coefficients》
---
作者:
Danko Adrovic and Jan Verschelde
---
最新提交年份:
2008
---
分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
--
一级分类:Mathematics 数学
二级分类:Numerical Analysis 数值分析
分类描述:Numerical algorithms for problems in analysis and algebra, scientific computation
分析和代数问题的数值算法,科学计算
--
---
英文摘要:
Finding a common factor of two multivariate polynomials with approximate coefficients is a problem in symbolic-numeric computing. Taking a tropical view on this problem leads to efficient preprocessing techniques, applying polyhedral methods on the exact exponents with numerical techniques on the approximate coefficients. With Maple we will illustrate our use of tropical algebraic geometry.
---
PDF链接:
https://arxiv.org/pdf/0809.0298