The Dilatation Method for the Close Roots of Polynomials
In finding roots of polynomials, ones meet often with the case that two roots are possible very closer so that they can be considered as only one root. In other words, they can not be resolved by some root-finder. This phenomenon is generally prohibited in most cases. In order to solve this problem, this paper proposes a dilation method to change the positions of roots in space so that all roots in space become further and further. As a result, any closer roots can be readily resolved. In this paper, the rootfinder based on feedforward neural networks (FNN) trained with constrained learning can be considered to verify our dilation method for eliminating close roots. Finally, some experimental results are presented to support our claim.
Roots Polynomials Close Roots Dilation Method Root-finder Neural Networks Constrained Learning.
De-Shuang Huang
The Key Lab of Agriculture Information Technology, Hefei Institute of Intelligent Machines,Chinese Academy of Sciences, P.O.Box 1130, Hefei, Anhui 230031, China
国际会议
8th International Conference on Neural Information Processing(ICONIP 2001)(第八届国际神经信息处理大会)
上海
英文
1121-1125
2001-11-14（万方平台首次上网日期，不代表论文的发表时间）