Geodesic
Common eigenvalues of two matrices
Dalʹnevostočnyj matematičeskij žurnal, Tome 13 (2013) no. 1, pp. 52-60 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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E. A. Kalinina. Common eigenvalues of two matrices. Dalʹnevostočnyj matematičeskij žurnal, Tome 13 (2013) no. 1, pp. 52-60. http://geodesic.mathdoc.fr/item/DVMG_2013_13_1_a4/

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