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Quaternionic left eigenvalue problem: a matrix representation
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classification
math.GM
keywords
eigenvaluesfourleftmatrixorderdevelopedeigenvalueequations
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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