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most citedWeierstrass structure and eigenvalue placement of regular matrix pencils under low rank perturbations

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math.CO2019

Rank-one perturbations of matrix pencils

Itziar Baragaña, Alicia Roca

We solve the problem of characterizing the Kronecker structure of a matrix pencil obtained by a rank-one perturbation of another matrix pencil. The results hold over arbitrary fiel…