Advances in Polynomial Continuation for Solving Problems in Kinematics
By Andrew J. Sommese, Jan Verschelde, Charles W. Wampler II. 2004
85 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/2b578dc1fb491e072b6957a82e1cb97689149e43
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
In Computational Theory and Mathematics
- Andrew J. Sommese
- Charles W. Wampler II
- Daniel J. Bates
- Ye Lu
- Jonathan D. Hauenstein
- Jan Verschelde
- Xianwen Kong
- Paul Breiding
In Control and Systems Engineering
Citations in the corpus
- Mechanism mobility and a local dimension test (2011, background): “Numerical algebraic geometry [22, 23], which is based on continuation methods, is able to solve larger systems than symbolic methods.”
- Introduction to numerical algebraic geometry (2005, methodology): “This start system is embedded in the homotopy h(x, t) = γ(1− t)g(x) + tf(x) = 0, t ∈ [0, 1], (1) with γ ∈ C a random number.”
- Finding All Real Points of a Complex Curve (2006, methodology): “Especially in [21], the movement curve is broken into twelve lines and five one-dimensional irreducible components of degree {6, 6, 6, 6, 4}.”