|Table of Contents|

An Improvement on Construction Formula of Zero Set of Ploynomial Systems(PDF)

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

Issue:
1998年02期
Page:
93-95
Research Field:
Publishing date:

Info

Title:
An Improvement on Construction Formula of Zero Set of Ploynomial Systems
Author(s):
Zhang Jiyuan
Shanghai Maritime University, Shanghai, 200135
Keywords:
poly nomials algebraic equat io n simultaneo us equat ions zero set
PACS:
O151.22
DOI:
-
Abstract:
At present , the Wu Wenjun′s method is one of the best methods to find zero set o f a plo ynomial system ( PS) , but solving a ( PS) sometimes needs several tens or hau-dreds o f put ting in order . T his huge calculating task is hardly accepted in pr act ical use. In this paper, an impor tant theorem is given, the co nstr uctio n formula of zer o set is impro ved, and tw o new constr uction formula of zero set ( i. e. , type Ⅰ and type Ⅱ) are suggested . It needs o nly one t ime of put t ing in or der to find zero set of a ( PS) by type Ⅱ fo rmula. The calculat ing task is gr eat ly decreased and the solv ing method is mo re practical after being improved.

References:

1 M oo re RE . Metho ds and applicat ions o f interv al analy sis. Philadelphia, 1979. 51~142
2 王则柯. 不动点算法. 上海: 上海科学技术出版社, 1987. 200~205
3 王则柯. 同化方法引论. 重庆: 重庆出版社, 1990. 105~146
4 周伯熏. 高等代数. 北京: 科学出版社, 1984. 141~159
5 吴文俊. 关于代数方程组的零点——Rtt 原理的一个应用. 北京: 科学通报, 1985. 30( 12) :881~883

Memo

Memo:
-
Last Update: 2013-03-29