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2008 Elimination for Coefficients of Special Characteristic Polynomials
W. Plesken, D. Robertz
Experiment. Math. 17(4): 499-510 (2008).

Abstract

Computing the relations for the coefficients satisfied by the characteristic polynomial of the Kronecker product of a general $n \times n$ matrix by a general $m \times m$ 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 $(n, m) \in \{ (2,3), (2,4), (3,3)$ and use these problems for developing and testing a new elimination technique called elimination by degree steering.

Citation

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W. Plesken. D. Robertz. "Elimination for Coefficients of Special Characteristic Polynomials." Experiment. Math. 17 (4) 499 - 510, 2008.

Information

Published: 2008
First available in Project Euclid: 27 May 2009

zbMATH: 1169.14324
MathSciNet: MR2484433

Subjects:
Primary: 13P10 , 14Q20 , 20C40 , 68W30
Secondary: 14A05

Keywords: characteristic polynomial , elimination , Janet bases , Kronecker product

Rights: Copyright © 2008 A K Peters, Ltd.

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Vol.17 • No. 4 • 2008
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