A non-linear structure-preserving matrix method for the computation of the coefficients of an approximate greatest common divisor of two Bernstein polynomials

作者：

Highlights：

• An approximate greatest common divisor of two Bernstein polynomials is computed.

• An approximate polynomial factorisation and the Sylvester matrix are used.

• The results from the two methods are very similar.

摘要

•An approximate greatest common divisor of two Bernstein polynomials is computed.•An approximate polynomial factorisation and the Sylvester matrix are used.•The results from the two methods are very similar.

论文关键词：Approximate greatest common divisor,Sylvester resultant matrix,Structure-preserving matrix methods

论文评审过程：Received 21 March 2016, Revised 29 November 2016, Available online 7 February 2017, Version of Record 7 March 2017.

论文官网地址：https://doi.org/10.1016/j.cam.2017.01.035