Solving decomposable sparse systems
Taylor Brysiewicz (Texas A&M)
Abstract: Amendola et al. proposed a method for solving systems of polynomial equations lying in a family which exploits a recursive decomposition into smaller systems. A family of systems admits such a decomposition if and only if the corresponding monodromy group is imprimitive. A consequence of Esterov’s classification of sparse polynomial systems with imprimitive monodromy groups is that this decomposition is obtained by inspection. Using these ideas, we present a recursive algorithm to numerically solve decomposable sparse systems. This is joint work with Frank Sottile, Jose Rodriguez, and Thomas Yahl.
commutative algebraalgebraic geometry
Audience: researchers in the topic
Max Planck Institute nonlinear algebra seminar online
Series comments: One day before each seminar, an announcement with the Zoom link is mailed to the NASO e-mail list. To receive these e-mails, please sign up on the seminar website www.mis.mpg.de/nlalg/seminars/naso.html.
Curator: | Saskia Gutzschebauch* |
*contact for this listing |