39 citations · 67 across the 4 of their papers we have counts for
4 papers
Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots
Marianne Akian, Stephane Gaubert, Meisam Sharify
We show that the sequence of moduli of the eigenvalues of a matrix polynomial is log-majorized, up to universal constants, by a sequence of "tropical roots" depending only on the n…
Locating the eigenvalues of matrix polynomials
Dario A. Bini, Vanni Noferini, Meisam Sharify
Some known results for locating the roots of polynomials are extended to the case of matrix polynomials. In particular, a theorem by A.E. Pellet [Bulletin des Sciences Mathématique…
Solution of the optimal assignment problem by diagonal scaling algorithms
Meisam Sharify, Stéphane Gaubert, Laura Grigori
We show that a solution of the optimal assignment problem can be obtained as the limit of the solution of an entropy maximization problem, as a deformation parameter tends to infin…
Tropical Scaling of Polynomial Matrices
Stéphane Gaubert, Meisam Sharify
The eigenvalues of a matrix polynomial can be determined classically by solving a generalized eigenproblem for a linearized matrix pencil, for instance by writing the matrix polyno…