86 citations · 188 across the 17 of their papers we have counts for
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math.NA2009
Certified numerical homotopy tracking
Carlos Beltrán, Anton Leykin
Given a homotopy connecting two polynomial systems we provide a rigorous algorithm for tracking a regular homotopy path connecting an approximate zero of the start system to an app…
math.DG2009★ 3 cited
Convexity properties of the condition number II
Carlos Beltrán, Jean-Pierre Dedieu, Gregorio Malajovich +1
In our previous paper [SIMAX 31 n.3 1491-1506(2010)], we studied the condition metric in the space of maximal rank matrices. Here, we show that this condition metric induces a Lips…