Transformation of Chebyshev-Bernstein Polynomial Basis
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 378875027 | ||
| 003 | CHVBK | ||
| 005 | 20180305123418.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 161128s2003 xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.2478/cmam-2003-0038 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0038 | ||
| 100 | 1 | |a Rababah |D Abedallah |u Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan. | |
| 245 | 1 | 0 | |a Transformation of Chebyshev-Bernstein Polynomial Basis |h [Elektronische Daten] |c [Abedallah Rababah] |
| 520 | 3 | |a In this paper, we derive a matrix of transformation of Chebyshev polynomials of the first kind into Bernstein polynomials and vice versa. We also study the stability of these linear maps and show that the Chebyshev-Bernstein basis conversion is remarkably well-conditioned, allowing one to combine the superior least-squares performance of Chebyshev polynomials with the geometrical insight of the Bernstein form. We also compare it to other basis transformations such as Bernstein-Hermite, power-Hermite, and Bernstein-Legendre basis transformations. | |
| 540 | |a This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. | ||
| 690 | 7 | |a Bernstein polynomials |2 nationallicence | |
| 690 | 7 | |a Chebyshev polynomials of first kind |2 nationallicence | |
| 690 | 7 | |a least-squares approximation |2 nationallicence | |
| 690 | 7 | |a orthogonal polynomials |2 nationallicence | |
| 690 | 7 | |a basis transformation |2 nationallicence | |
| 690 | 7 | |a condition number |2 nationallicence | |
| 690 | 7 | |a perturbation |2 nationallicence | |
| 690 | 7 | |a computer aided geometric design |2 nationallicence | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/4(2003), 608-622 |x 1609-4840 |q 3:4<608 |1 2003 |2 3 |o cmam | |
| 856 | 4 | 0 | |u https://doi.org/10.2478/cmam-2003-0038 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.2478/cmam-2003-0038 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Rababah |D Abedallah |u Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/4(2003), 608-622 |x 1609-4840 |q 3:4<608 |1 2003 |2 3 |o cmam | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||