| 分片代数簇的机械化求解 |
| |
| 引用本文： | 刘秀平,王仁宏. 分片代数簇的机械化求解[J]. 辽宁师范大学学报(自然科学版), 2000, 23(3): 230-232 |
| |
| 作者姓名： | 刘秀平 王仁宏 |
| |
| 作者单位： | 大连理工大学数学科学研究所,辽宁,大连,116024 |
| |
| 基金项目： | 国家自然科学基金资助项目!( 198710 10 ) |
| |
| 摘 要： | 分片代数曲线、曲面的拼接涉及多元样条函数组的零点问题，给出了分片多项式的初式、升列、求余分工以及特征列概念，应用求代数簇的吴方法，讨论求出相应的特征列及相应的特征的零点，进而给出一定条件下分片代数簇的机械化求解方法。
|
| 关 键 词： | 分片代数法 曲线 曲面 机械化求解法 求交算法 |
| 修稿时间： | 1999-11-23 |
A Mechanical Algorithm to Compute Piecewise Algebraic Variety |
| |
| LIU Xiu-ping,WANG Ren-hong. A Mechanical Algorithm to Compute Piecewise Algebraic Variety[J]. Journal of Liaoning Normal University(Natural Science Edition), 2000, 23(3): 230-232 |
| |
| Authors: | LIU Xiu-ping WANG Ren-hong |
| |
| Abstract: | The so called zero point problem of multivariate spline function system is mvolved to put together the piecewise algebraic curves and surfaces.In this paper,we give some concepts about piecewise,such as its initial piecewise polynomial,ascend sequence,formula for remain terms and charateristic sequence.By Wu method which is for finding algebraic varieties,we discuss how to find characteristic sequences and their zeros,and get some mechanical algorithm to compute the piecewise algebraic varieties under certain conditions. |
| |
| Keywords: | Wu method spline zero piecewise algebraic variety |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
