Alan C. Liddell

Papers

Total Citations

H-Index

About

Alan C. Liddell is a researcher whose work lies at the intersection of numerical algebraic geometry and certified computation, with a particular focus on solving polynomial systems through homotopy continuation. His key contributions center on developing rigorous, a posteriori certification algorithms for Newton homotopies—a specialized class of homotopies that modify only constant terms, which arise naturally in applications ranging from monodromy loops to robotic end-effector control. His most cited work, "An a posteriori certification algorithm for Newton homotopies" (2014, 20 citations), introduced a novel method for certifying solution paths that previous techniques could not handle, providing guarantees on the accuracy of computed solutions. This work addressed a critical gap in the field, as standard certification methods were inadequate for the unique structure of Newton homotopies. Liddell's research has significant implications for robotics, kinematics, and computational geometry, where reliable solution tracking is essential. His contributions have been recognized within the numerical algebraic geometry community, and his certification algorithms continue to influence subsequent work on path tracking and solution verification in polynomial systems.