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
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
收藏
页码:499 / 510
页数:12
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