Elimination for Coefficients of Special Characteristic Polynomials

被引：3

作者：

Plesken, W. ^{[1
]}

Robertz, D. ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, Lehrstuhl B Math, D-52062 Aachen, Germany

来源：

EXPERIMENTAL MATHEMATICS | 2008年 / 17卷 / 04期

关键词：

Characteristic polynomial; Kronecker product; elimination; Janet bases;

D O I：

10.1080/10586458.2008.10128874

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Computing the relations for the coefficients satisfied by the characteristic polynomial of the Kronecker product of a general n x n matrix by a general m x m matrix leads to an elimination problem that is already difficult for small values of n and m. In this article we focus on the problems for (n, m) epsilon {(2, 3), (2, 4), (3, 3)} and use these problems for developing and testing a new elimination technique called elimination by degree steering.

引用

页码：499 / 510

页数：12