123 citations · 479 across the 28 of their papers we have counts for
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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…
math.NA2009★ 24 cited
A Numerical Algorithm for Zero Counting. II: Distance to Ill-posedness and Smoothed Analysis
Felipe Cucker, Teresa Krick, Gregorio Malajovich +1
We show a Condition Number Theorem for the condition number of zero counting for real polynomial systems. That is, we show that this condition number equals the inverse of the norm…