Real intersection points of piecewise algebraic curves

被引：4

作者：

Wu, Jinming ^{[1
]}

机构：

[1] Zhejiang Gongshang Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Piecewise algebraic curves; Real intersection points; Interval polynomial; Interval zeros; THEOREM; NOTHER; ZEROS;

D O I：

10.1016/j.aml.2011.11.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The piecewise algebraic curve, as the set of zeros of a bivariate spline function, is a generalization of the classical algebraic curve. In this work, we present an algorithm for computing the real intersection points of piecewise algebraic curves. It is primarily based on the interval zeros of the univariate interval polynomial in Bernstein form. An illustrative example is provided to show that the proposed algorithm is flexible. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1299 / 1303

页数：5

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