Extracting a polynomial embedded in a pair of polynomials, with application to an inverse problem

被引：1

作者：

Kulkarni, Raghavendra G. ^{[1
]}

机构：

[1] Bharat Elect Ltd, Bangalore, Karnataka, India

来源：

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2015年 / 23卷 / 04期

关键词：

embedded polynomial; polynomial common factor; inverse problem; Tschirnhaus transformation; polynomial reduction method; reconstruction;

D O I：

10.1080/17415977.2014.922080

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper describes a method for extracting a lower degree polynomial embedded in a pair of polynomials. The method is then successfully applied to reconstruct an original quartic equation, which was transformed into two quartic equations through a quadratic Tschirnhaus transformation. We solve some numerical examples which illustrate the usefulness of the method.

引用

页码：590 / 600

页数：11

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