1 citations · 1 across the 1 of their papers we have counts for
6 papers
Polymake.jl: A new interface to polymake
Marek Kaluba, Benjamin Lorenz, Sascha Timme
We present the Julia interface Polymake.jl to polymake, a software for research in polyhedral geometry. We describe the technical design and how the integration into Julia makes it…
Backward Error Measures for Roots of Polynomials
Simon Telen, Sascha Timme, Marc Van Barel
We analyze different measures for the backward error of a set of numerical approximations for the roots of a polynomial. We focus mainly on the element-wise mixed backward error in…
96120: The degree of the linear orbit of a cubic surface
Laura Brustenga i Moncusí, Sascha Timme, Madeleine Weinstein
The projective linear group \(\pgl(\comp,4)\) acts on cubic surfaces, considered as points of . We compute the degree of the -dimensional projecti…
Estimating linear covariance models with numerical nonlinear algebra
Bernd Sturmfels, Sascha Timme, Piotr Zwiernik
Numerical nonlinear algebra is applied to maximum likelihood estimation for Gaussian models defined by linear constraints on the covariance matrix. We examine the generic case as w…
3264 Conics in a Second
Paul Breiding, Bernd Sturmfels, Sascha Timme
Enumerative algebraic geometry counts the solutions to certain geometric constraints. Numerical algebraic geometry determines these solutions for any given instance. This article i…
Mixed Precision Path Tracking for Polynomial Homotopy Continuation
Sascha Timme
This article develops a new predictor-corrector algorithm for numerical path tracking in the context of polynomial homotopy continuation. In the corrector step it uses a newly deve…