MonodromySolver swMATH ID: 27121 Software Authors: Timothy Duff, Cvetelina Hill, Anders Jensen, Kisun Lee, Anton Leykin, Jeff Sommars Description: Macaulay2 package MonodromySolver – solve polynomial systems via homotopy continuation and monodromy. This package provides randomized numerical methods for finding complex solutions to systems of polynomial equations. The main methods implemented in this package find solutions to polynomial systems of equations over the complex numbers. As described in ”Solving polynomial systems via homotopy continuation and monodromy” (2016), these methods pair numerical homotopy continuation with the transitive monodromy action of a suitable covering map. Homepage: http://www2.macaulay2.com/Macaulay2/doc/Macaulay2-1.12/share/doc/Macaulay2/MonodromySolver/html/ Dependencies: Macaulay2 Keywords: Algebraic Geometry; arXiv_math.AG; arXiv_cs.MS; Macaulay2; polynomial systems; homotopy continuation; monodromy Related Software: PHCpack; alphaCertified; HOM4PS; Macaulay2; libtropicana; Bertini; HomotopyContinuation; DecomposableSparseSystems; PHCpack; Bezout; LamanGraphs; phcpy; MULTIRES; NumericalCertification; pss5; gfanlib; NumericalAlgebraicGeometry; Book3264Examples; PHoMpara Cited in: 10 Publications Standard Articles 3 Publications describing the Software, including 2 Publications in zbMATH Year Solving polynomial systems via homotopy continuation and monodromy. Zbl 1462.65055Duff, Timothy; Hill, Cvetelina; Jensen, Anders; Lee, Kisun; Leykin, Anton; Sommars, Jeff 2019 Monodromy solver. Sequential and parallel. Zbl 1467.65055Bliss, Nathan; Duff, Timothy; Leykin, Anton; Sommars, Jeff 2018 Solving polynomial systems via homotopy continuation and monodromy Timothy Duff, Cvetelina Hill, Anders Jensen, Kisun Lee, Anton Leykin, Jeff Sommars 2016 all top 5 Cited by 26 Authors 3 Leykin, Anton 2 Duff, Timothy 2 Hauenstein, Jonathan D. 2 Hill, Cvetelina 2 Rodriguez, Jose Israel 2 Sommars, Jeff 2 Sottile, Frank 1 Bartzos, Evangelos 1 Bliss, Nathan 1 Breiding, Paul 1 Brustenga i Moncusí, Laura 1 Brysiewicz, Taylor 1 Chen, Tianran 1 Emiris, Ioannis Z. 1 Gross, Elizabeth 1 Hodges, Reuven 1 Ikenmeyer, Christian 1 Jensen, Anders Nedergaard 1 Lee, Kisun 1 Mehta, Dhagash 1 Michałek, Mateusz 1 Regan, Margaret H. 1 Schicho, Josef 1 Timme, Sascha 1 Weinstein, Madeleine 1 Yahl, Thomas all top 5 Cited in 9 Serials 1 IMA Journal of Numerical Analysis 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Le Matematiche 1 Advances in Applied Mathematics 1 Numerical Algorithms 1 Applicable Algebra in Engineering, Communication and Computing 1 Vietnam Journal of Mathematics 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 8 Fields 6 Algebraic geometry (14-XX) 6 Numerical analysis (65-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Biology and other natural sciences (92-XX) Citations by Year