Ning Yang

(Author)

Structured Matrix Methods For Computations On Bernstein PolynomialsPaperback, 30 August 2013

Structured Matrix Methods For Computations On Bernstein Polynomials
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Print Length
192 pages
Language
English
Publisher
Scholars' Press
Date Published
30 Aug 2013
ISBN-10
3639514912
ISBN-13
9783639514919

Description

This book considers structure preserving matrix methods for computations on Bernstein polynomials whose coefficients are corrupted by noise. The ill-posed operations of greatest common divisor computations and polynomial division are considered, and it is shown that structure preserving matrix methods yield excellent results. With respect to greatest common divisor computations, the most difficult part is the computation of its degree, and several methods for its determination are presented. These are based on the Sylvester resultant matrix, and it is shown that a modified form of the Sylvester resultant matrix yields the best results. The B´ezout resultant matrix is also considered, and it is shown that the results from it are inferior to those from the Sylvester resultant matrix.

Product Details

Author:
Ning Yang
Book Format:
Paperback
Country of Origin:
US
Date Published:
30 August 2013
Dimensions:
22.86 x 15.24 x 1.12 cm
ISBN-10:
3639514912
ISBN-13:
9783639514919
Language:
English
Pages:
192
Publisher:
Weight:
290.3 gm

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