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Abstract
Let and
be
matrices over an algebraically closed field
. Let
be elements of
such that
and
. We give necessary and sufficient condition for the existence of matrices
and
similar to
and
, respectively, such that
has eigenvalues
.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
The research for this paper was done within the activities of Centro de Estruturas Lineares e Combinatórias da Universidade de Lisboa (CELC) and was partially supported by the Fundação para a Ciência e Tecnologia (Portugal).