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3 December 2015 Connections between Sylvester resultant matrix and Bezout matrix for Bernstein polynomials basis
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Proceedings Volume 9794, Sixth International Conference on Electronics and Information Engineering; 979438 (2015) https://doi.org/10.1117/12.2203244
Event: Sixth International Conference on Electronics and Information Engineering, 2015, Dalian, China
Abstract
In order to extend the connections between the (classical) Sylvester resultant matrix and Bezout matrix to the circumstance for the Bernstein polynomials basis, a kind of generalized Sylvester resultant matrix and Bezout matrix with respect to the Bernstein polynomials basis are defined. They have not only theoretical interest, but also preserve the original similar relations between these two kinds of matrices when the power basis is replaced by Bernstein polynomials basis. Since the transformation matrix between the Bernstein and power polynomials bases is ill-conditioned, so the paper mainly focuses on the theoretical research instead of the computational consideration.
© (2015) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Huazhang Wu and Yanna Chen "Connections between Sylvester resultant matrix and Bezout matrix for Bernstein polynomials basis ", Proc. SPIE 9794, Sixth International Conference on Electronics and Information Engineering, 979438 (3 December 2015); https://doi.org/10.1117/12.2203244
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