@inproceedings{3a0c5856f74b477c83ae1800a25efb65,

title = "Bertini-real: Software for one- and two-dimensional real algebraic sets",

abstract = "Bertini-real is a command line program for numerically decomposing the real portion of a one- or two-dimensional complex irreducible algebraic set in any reasonable number of variables. Using numerical homotopy continuation to solve a series of polynomial systems via regeneration from a witness set, a set of real vertices is computed, along with connection information and associated homotopy functions. The challenge of embedded singular curves is overcome using isosingular deflation. This decomposition captures the topological information and can be used for further computation and refinement.",

author = "Brake, {Daniel A.} and Bates, {Daniel J.} and Wenrui Hao and Hauenstein, {Jonathan D.} and Sommese, {Andrew J.} and Charlesw Wampler",

year = "2014",

doi = "10.1007/978-3-662-44199-2_29",

language = "English (US)",

isbn = "9783662441985",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "175--182",

booktitle = "Mathematical Software, ICMS 2014 - 4th International Congress, Proceedings",

address = "Germany",

note = "4th International Congress on Mathematical Software, ICMS 2014 ; Conference date: 05-08-2014 Through 09-08-2014",

}