The Subresultant and Clusters of Close Roots

机译：亚根和簇根

获取原文

获取原文并翻译 | 示例

页面导航

摘要
著录项
相似文献
相关主题

摘要

This paper investigates the subresultant of univariate polynomials from the viewpoint of close roots. First, we derive formulas which express the subresultant and its cofactors in the root-differences. Then, we consider the case that the given polynomials contain one or more clusters of mutually close roots of closeness δ. We derive formulas showing the dependences of the coefficients of subresultant and its cofactors on δ and the number of clusters. Finally, we determine the magnitudes of cancellations which occur when we apply the Euclidean algorithm to polynomials having close roots.

机译：本文从近似根的角度研究了单变量多项式的子结果。首先，我们得出在根差中表示次结果及其辅因子的公式。然后，我们考虑给定多项式包含一个或多个相互接近的接近度根的簇的情况。我们推导了显示子结果系数及其辅因子对δ和簇数的依赖性的公式。最后，我们确定当我们将欧几里德算法应用于具有紧密根的多项式时发生的抵消幅度。

著录项

来源
《International Symposium on Symbolic and Algebraic Computation Aug 3-6, 2003 Philadelphia, Pennsylvania, USA》|2003年|p.232-239|共8页
会议地点 Philadelphia PA(US);Philadelphia PA(US)
作者
Tateaki Sasaki;
展开▼
作者单位

Institute of Mathematics, University of Tsukuba Tsukuba-shi, Ibaraki 305, Japan;

展开▼
会议组织
原文格式 PDF
正文语种 eng
中图分类 O2;
关键词
theory;

机译：理论;

相似文献

外文文献
中文文献
专利

1. Closed formula for univariate subresultants in multiple roots [J] . DAndrea Carlos, Krick Teresa, Szanto Agnes, Linear Algebra and its Applications . 2019,第期

机译：单变量子节点的封闭式公式
2. Subresultants in multiple roots: An extremal case [J] . Bostan A., DAndrea C., Krick T., Linear Algebra and its Applications . 2017,第期

机译：多个根的子节点：极端情况
3. Subresultants in multiple roots [J] . DAndrea C., Krick T., Szanto A. Linear Algebra and its Applications . 2013,第5期

机译：多根子结果
4. The subresultant and clusters of close roots [C] . Tateaki Sasaki International symposium on Symbolic and algebraic computation . 2003

机译：次生结果和紧密根的簇
5. Cluster treatment of characteristic roots, CTCR, a unique methodology for the complete robustness analysis of linear time invariant multiple time delay systems against delay uncertainties. [D] . Sipahi, Rifat. 2005

机译：群集处理特征根，CTCR，一种独特的方法，可以针对时延不确定性对线性时不变多次时滞系统进行完整的鲁棒性分析。
6. Molecular Analysis of Three Ljungan Virus Isolates Reveals a New Close-to-Root Lineage of the Picornaviridae with a Cluster of Two Unrelated 2A Proteins [O] . Susanne Johansson, Bo Niklasson, Jacob Maizel, 2002

机译：三种Ljungan病毒分离物的分子分析揭示了具有两个不相关的2A蛋白簇的新近亲根系的Picornaviridae。
7. Closed formula for univariate subresultants in multiple roots [O] . Carlos DAndrea, Teresa Krick, Agnes Szanto, 2019

机译：多变量子节点的封闭式公式
8. RSSR ROUTINE, A ROOT-SQUARING AND SUBRESULTANT PROCEDURE FOR FINDING ZEROS OF REAL POLYNOMIALS, [R] . bareiss,erwin h. hamelink,ronald 1966

机译：RssR常规，一种寻找真实多项式零点的基本方程和次要程序，

The Subresultant and Clusters of Close Roots

摘要

著录项

相似文献

相关主题

期刊订阅