Characteristic polynomials of supertropical matrices

Details Characteristic polynomials of supertropical matrices Characteristic polynomials of supertropical matrices

2012-01-04

arxiv.org/abs/1201.0966v1

Mathematics

Commutative Algebra

Department of Mathematics, Bar-Ilan University, Ramat Gan 52900, Israel. Email: adi.niv@live.biu.ac.il. This paper is part of

Scientific paper

Supertropical matrix theory was investigated in [6], whose terminology we follow. In this work we investigate eigenvalues, characteristic polynomials and coefficients of characteristic polynomials of supertropical matrices and their powers, and obtain the analog to the basic property of matrices that any power of an eigenvalue of a matrix is an eigenvalue of the corresponding power of the matrix.

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