1 research outputs found
The Multiplicative Inverse Eigenvalue Problem over an Algebraically Closed Field
Let be a square matrix and let be a monic polynomial of degree
. Let be a set of matrices. The multiplicative inverse
eigenvalue problem asks for the construction of a matrix in such that the
product matrix has characteristic polynomial . In this paper we
provide new necessary and sufficient conditions when is an affine variety
over an algebraically closed field.Comment: 9 Page