1993 conference paper

Fast adaptive polynomial root tracking using a homotopy continuation method

1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

By: S. Alexander & V. Stonick*

Source: NC State University Libraries
Added: August 6, 2018

A fast adaptive method for tracking the roots of a time-varying complex domain polynomial is derived. The approach uses the method of homotopy continuation and is efficient from both mathematical and implementation standpoints. The method is globally convergent and tracks all roots simultaneously. An example that verifies the accurate tracking ability of the algorithm is presented. Applications which could benefit from this method are also discussed. >