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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…
cs.SC2011
Generalized companion matrix for approximate GCD
Paola Boito, Olivier Ruatta
We study a variant of the univariate approximate GCD problem, where the coefficients of one polynomial f(x)are known exactly, whereas the coefficients of the second polynomial g(x)…