Sirocco Is a ROot Certified COntinuator. This is a library for computing homotopy continuation of a given root of one dimensional sections of bivariate complex polynomials. The output is a piecewise linear aproximation of the path followed by the root, with the property that there is a tubular neighborhood, with square transversal section, that contains the actual path, and there is a three times thicker tubular neigborhood guaranted to contain no other root of the polynomial. This second property ensures that the piecewise linear approximation computed from all roots of a polynomial form a topologically correct deformation of the actual braid, since the inner tubular neighborhoods cannot intersect.

References in zbMATH (referenced in 1 article , 1 standard article )

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  1. Marco-Buzunariz, Miguel Ángel; Rodríguez, Marcos: SIROCCO: a library for certified polynomial root continuation (2016)