Far Eastern Mathematical Journal

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Common eigenvalues of two matrices


Kalinina E. A.

2013, issue 1, . 52-60


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.

Keywords:
common eigenvalues of two matrices, Kronecker product

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References

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