Abstract:
A new approach to determine common eigenvalues of two
matrices is proposed. The algorithm is based on the criteria for the existence of
common eigenvalues of matrices in the form of algebraic equation
depending on their elements and on the properties of solutions of
the matrix equation $AX=XB$. The method for constructing a
polynomial whose roots equal to the common eigenvalues of
matrices $A$ and $B$ is presented.
Key words:common eigenvalues of two matrices, Kronecker product.
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