24 citations · 34 across the 5 of their papers we have counts for
9 papers
Certifying zeros of polynomial systems using interval arithmetic
Paul Breiding, Kemal Rose, Sascha Timme
We establish interval arithmetic as a practical tool for certification in numerical algebraic geometry. Our software HomotopyContinuation.jl now has a built-in function certify, wh…
Catastrophe in Elastic Tensegrity Frameworks
Alexander Heaton, Sascha Timme
We discuss elastic tensegrity frameworks made from rigid bars and elastic cables, depending on many parameters. For any fixed parameter values, the stable equilibrium position of t…
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…