Connections between Sylvester resultant matrix and Bezout matrix for Bernstein polynomials basis

Huazhang Wu; Yanna Chen

doi:10.1117/12.2203244

3 December 2015 Connections between Sylvester resultant matrix and Bezout matrix for Bernstein polynomials basis

Huazhang Wu, Yanna Chen

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.

Citation Download Citation

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

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
7 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Matrices

Fourier transforms

Computer aided design

Current controlled current source

Electronics

Electronics engineering

Numerical analysis

Show All Keywords

Keywords/Phrases

Search In:

Publication Years