摘要
本文从多项式的零点分布入手，通过设定由多项式的系数的简单四则运算组成的判别式，由其符号来判断零点的范围，从而得到多项式的正性和凸性条件．
Abstract The convexity and positivity for Bernstein polynomials has greatapplication in the area of Computation Geometry and Computor Aided Geometric Design. Inthis paper by analizing the distribution of the zeros of Bernstin polynomials,and setingseveral fomulas about the coefficients, the condition of the convexity and nonngativity isobtained. This methods can be realized simply on the computer, and can be extented to highdegree polynomials
出处
《计算机辅助工程》
1996年第1期59-64,共6页
Computer Aided Engineering
