About the solvability of matrix polynomial equations

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Netzer, Tim; Thom, Andreas;
  • Subject: Mathematics - Rings and Algebras | Mathematics - Algebraic Geometry
    arxiv: Mathematics::Spectral Theory

We study self-adjoint matrix polynomial equations in a single variable and prove existence of self-adjoint solutions under some assumptions on the leading form. Our main result is that any self-adjoint matrix polynomial equation of odd degree with non-degenerate leading... View more
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    T.N., Universita¨t Innsbruck, 6020 Innsbruck, Austria E-mail address: tim.netzer@uibk.ac.at A.T., TU Dresden, 01062 Dresden, Germany E-mail address: andreas.thom@tu-dresden.de

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