𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Accurate evaluation of a polynomial and its derivative in Bernstein form

✍ Scribed by Hao Jiang; Shengguo Li; Lizhi Cheng; Fang Su

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
576 KB
Volume
60
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Construction of orthogonal bases for pol
Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains
✍ Rida T. Farouki; T.N.T. Goodman; Thomas Sauer πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 197 KB

A scheme for constructing orthogonal systems of bivariate polynomials in the Bernstein-BΓ©zier form over triangular domains is formulated. The orthogonal basis functions have a hierarchical ordering by degree, facilitating computation of least-squares approximations of increasing degree (with permane

A note on constrained degree reduction o
A note on constrained degree reduction of polynomials in Bernstein–BΓ©zier form over simplex domain
✍ Lizheng Lu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 273 KB

Kim and Ahn proved that the best constrained degree reduction of a polynomial over d-dimensional simplex domain in L 2 -norm equals the best approximation of weighted Euclidean norm of the Bernstein-BΓ©zier coefficients of the given polynomial. In this paper, we presented a counterexample to show tha

On arrangements of roots for a real hype
On arrangements of roots for a real hyperbolic polynomial and its derivatives
✍ Vladimir Petrov Kostov; Boris Zalmanovich Shapiro πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 French βš– 173 KB

In this paper we count the number (0,k) n , k n -1, of connected components in the space βˆ† (0,k) n of all real degree n polynomials which a) have all their roots real and simple; and b) have no common root with their kth derivatives. In this case, we show that the only restriction on the arrangement