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.
Keywords for this software
References in zbMATH (referenced in 3 articles , 1 standard article )
Showing results 1 to 3 of 3.
- Artal Bartolo, Enrique; Cogolludo-Agustín, José Ignacio; Martín-Morales, Jorge: Wirtinger curves, Artin groups, and hypocycloids (2018)
- Greuel, Gert-Martin (ed.); Koch, Thorsten (ed.); Paule, Peter (ed.); Sommese, Andrew (ed.): Mathematical software -- ICMS 2016. 5th international conference, Berlin, Germany, July 11--14, 2016. Proceedings (2016)
- Marco-Buzunariz, Miguel Ángel; Rodríguez, Marcos: SIROCCO: a library for certified polynomial root continuation (2016)