D. Armentano

activity

20082023

most citedRandom systems of polynomial equations. The expected number of roots under smooth analysis

10 citations · 23 across the 11 of their papers we have counts for

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math.NA2008

Average-Case Perturbations and Smooth Condition Numbers

Diego Armentano

We define a new condition number adapted to directionally uniform perturbations. The definitions and theorems can be applied to a large class of problems. We show the relation with…

math.PR2008★ 10 cited

Random systems of polynomial equations. The expected number of roots under smooth analysis

Diego Armentano, Mario Wschebor

We consider random systems of equations over the reals, with $m$ equations and $m$ unknowns $P_{i} (t) + X_{i} (t) = 0$ , $t \in R^{m}$ , $i = 1, ..., m$ , where the $P_{i}$ 's are non-random pol…