most citedMin-plus methods in eigenvalue perturbation theory and generalised Lidskii-Vishik-Ljusternik theorem

20 citations · 39 across the 2 of their papers we have counts for

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math.SP2004★ 19 cited

Perturbation of eigenvalues of matrix pencils and optimal assignment problem

Marianne Akian, Ravindra Bapat, Stephane Gaubert

We consider a matrix pencil whose coefficients depend on a positive parameter , and have asymptotic equivalents of the form when goes to zero, where the leading coeff…

math.SP2004★ 20 cited

Min-plus methods in eigenvalue perturbation theory and generalised Lidskii-Vishik-Ljusternik theorem

Marianne Akian, Ravindra Bapat, Stephane Gaubert

We extend the perturbation theory of Vishik, Ljusternik and Lidskii for eigenvalues of matrices, using methods of min-plus algebra. We show that the asymptotics of the eigenvalues…