4 papers
Characterization of Logarithmic Fekete Critical Configurations of at Most Six Points in All Dimensions
Diego Armentano, Leandro Bentancur, Federico Carrasco +3
We consider the logarithmic Fekete problem, which consists of placing a fixed number of points on the unit sphere in , in such a way that the product of all pairs of…
Points on with low logarithmic energy
Carlos Beltrán, Federico Carrasco, Damir FerizoviÄ +1
We describe several randomized collections of rotation matrices and analyze their associated logarithmic energy. The best one (i.e. the one attaining the lowest expecte…
Average conditioning of underdetermined polynomial systems
Federico Carrasco
This article study the average conditioning for a random underdetermined polynomial system. The expected value of the moments of the condition number are compared to the moments of…
On the logarithmic energy of solutions to the polynomial eigenvalue problem
Diego Armentano, Federico Carrasco, Marcelo Fiori
In this paper, we compute the expected logarithmic energy of solutions to the polynomial eigenvalue problem for random matrices. We generalize some known results for the Shub-Smale…