A Kinematics and Numerical Algebraic Geometry

Abstract

Kinematics underlies applications ranging from the design and control of mechanical devices, especially robots, to the biomechanical modelling of human motion. The majority of kinematic problems can be formulated as a system of polynomial equations to be solved and so fall within the domain of algebraic geometry. While symbolic methods from computer algebra have a role to play, numerical methods, such as polynomial continuation, that make strong use of algebraic-geometric properties offer advantages in efficiency and parallelizability. Although these methods, collectively called Numerical Algebraic Geometry, are applicable wherever polynomials arise, e.g., chemistry, biology, statistics, and economics, this talk will concentrate on applications in mechanical engineering. A brief review the main algorithms of the field will indicate their broad applicability.

Tuesday, November 29, 2011

3:00– 4:00 P.M.

372 Science and Engineering Building

(Refreshments at 2:30-3:00 PM in the kitchen area adjacent to 368 SEB)