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RISCombining Uneliminated Algebraic Formulations With Sparse Linear Solvers to Increase the Speed and Accuracy of Homotopy Path Tracking for Kinematic Synthesis
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The method of kinematic synthesis requires finding the solution set of a system of polynomials. Parameter homotopy continuation is used to solve these systems and requires repeatedly solving systems of linear equations. ...
Numerical Continuation on a Graphical Processing Unit for Kinematic Synthesis
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents an implementation of a homotopy path tracking algorithm for polynomial numerical continuation on a graphical processing unit (GPU). The goal of this algorithm is to track homotopy curves from known roots ...