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Quaternionic left eigenvalue problem: a matrix representation

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arxiv 1903.08897 v1 pith:VGWPG2FE submitted 2019-03-21 math.GM

classification math.GM
keywords eigenvaluesfourleftmatrixorderdevelopedeigenvalueequations
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abstract

This paper presents an innovative set of tools developed to support a methodology to find the left eigenvalues of $m$ order quaternion square matrix. It is solving four real polynomial equations of order not greater than $4m-3$ in four variables. Some important properties of these eigenvalues are also investigated.

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