33 citations · 81 across the 24 of their papers we have counts for
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cs.SC2014★ 6 cited
Certifying solutions to overdetermined and singular polynomial systems over Q
Tulay Ayyildiz Akoglu, Jonathan D. Hauenstein, Agnes Szanto
This paper is concerned with certifying that a given point is near an exact root of an overdetermined or singular polynomial system with rational coefficients. The difficulty lies…
cs.SC2014★ 3 cited
Over-constrained Weierstrass iteration and the nearest consistent system
Olivier Ruatta, Mark Sciabica, Agnes Szanto
We propose a generalization of the Weierstrass iteration for over-constrained systems of equations and we prove that the proposed method is the Gauss-Newton iteration to find the n…