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math.GM2023
Eigenvalues of Real Matrices with Prescribed Principal Minors Sign and Descartes Law of Signs
Laureano González-Vega, J. Rafael Sendra, Juana Sendra
In this paper, using Descartes law of sign, we provide elementary proof of results on the number of real eigenvalues of real matrices of which certain properties on the signs of th…
math.AG2023★ 1 cited
Closed formulae for multiple roots of univariate polynomials through subresultants
Jorge Caravantes, Gema M. Diaz-Toca, Laureano Gonzalez-Vega
The computation of the topology of a real algebraic plane curve is greatly simplified if there are no more than one critical point in each vertical line: the general position condi…