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The Elimination by Eliminant with the Aid of Basic Sets(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
1999年04期
Page:
362-365
Research Field:
Publishing date:

Info

Title:
The Elimination by Eliminant with the Aid of Basic Sets
Author(s):
ZhangJiyuan YangTingli ① NiuZhigang
Mechanical Department of Shanghai Maritime University,Shanghai 200135)
Keywords:
polynomials equations mechanism eliminat ion by eliminant
PACS:
O151
DOI:
-
Abstract:
In this paper, the eliminat ion by eliminant w ith the aid of basic sets has been suggested. T he main idea of the method is that the basic set s are selected according to rank of polynomials, that a polynomial system of equations ( PS ) is chang ed into t riangular-form system of equations ( T S ) by making use of bezout eliminant, and that the zero set of ( PS ) can be found by solving ( TS ) and ex amining throug h (PS ) . The method has some merits, such as simplicity of eliminat ing procedure and having lower degree of polynomials in eliminating results, etc. If a problem can be summarized into a polynomial system of equat ions, the problem can be researched by making use of the method. The method is w idely used, especially in mechanism research.

References:

1 吴文俊. 几何定理机器证明的基本原理.北京: 科学出版社, 1984
2 杨路, 张景中, 侯晓荣.非线性代数方程组与定理机器证明. 上海: 上海科技教育出版社,1996
3 张纪元, 沈守范. 计算机构学. 北京: 国防工业出版社, 1996
4 张纪元. 多项式方程组零点结构式的一个改进. 南京理工大学学报, 1998, 22( 2) : 185~ 188
5 杨廷力.机械系统基本理论.北京: 机械工业出版社, 1996

Memo

Memo:
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Last Update: 2013-03-29