86 citations · 188 across the 17 of their papers we have counts for
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Energy and discrepancy of rotationally invariant determinantal point processes in high dimensional spheres
Carlos Beltrán, Jordi Marzo, Joaquim Ortega-Cerdà
We study expected Riesz s-energies and linear statistics of some determinantal processes on the sphere. In particular, we compute the expected Riesz and logarithmic energies of the…
Condition length and complexity for the solution of polynomial systems
Diego Armentano, Carlos Beltrán, Peter Bürgisser +2
Smale's 17th problem asks for an algorithm which finds an approximate zero of polynomial systems in average polynomial time (see Smale 2000). The main progress on Smale's problem i…
A stable, polynomial-time algorithm for the eigenpair problem
Diego Armentano, Carlos Beltrán, Peter Bürgisser +2
We describe algorithms for computing eigenpairs (eigenvalue-eigenvector pairs) of a complex matrix . These algorithms are numerically stable, strongly accurate, and…