The Bezout number for piecewise algebraic curves

被引：29

作者：

Shi, XQ ^{[1
]}

Wang, RH ^{[1
]}

机构：

[1] Dalian Univ Technol, Inst Math Sci, Dalian 116023, Peoples R China

来源：

BIT | 1999年 / 39卷 / 02期

基金：

中国国家自然科学基金;

关键词：

linear systems; AOR method; error bound;

D O I：

10.1023/A:1022350131468

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The computation of the Bezout number, the maximum number of intersection points between two piecewise algebraic curves whose common points are finite, is considered. A piecewise algebraic curve is a curve determined by a bivariate spline function. It is found that the maximum number of intersections depends not only on the degrees and the differentiability of the spline functions, but also on the structure of the partition on which the spline functions are defined. AMS subject classification: 65F10, 15A06.

引用

页码：339 / 349

页数：11