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Bounds for the right spectral radius of quaternionicmatrices
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UDC 517.5
In this paper we present bounds for the sum of the moduli of right eigenvalues of a quaternionic matrix. As a consequence, we obtain bounds for the right spectral radius of a quaternionic matrix. We also present a minimal ball in 4D spaces which contains all the Gersgorin balls of a quaternionic matrix. As an application, we introduce the estimation for the right ˇ eigenvalues of quaternionic matrices in the minimal ball. Finally, we suggest some numerical examples to illustrate of our results.
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Title: Bounds for the right spectral radius of quaternionicmatrices
Description:
UDC 517.
5
In this paper we present bounds for the sum of the moduli of right eigenvalues of a quaternionic matrix.
As a consequence, we obtain bounds for the right spectral radius of a quaternionic matrix.
We also present a minimal ball in 4D spaces which contains all the Gersgorin balls of a quaternionic matrix.
As an application, we introduce the estimation for the right ˇ eigenvalues of quaternionic matrices in the minimal ball.
Finally, we suggest some numerical examples to illustrate of our results.
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