Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vandermonde factorizations of a regular Hankel matrix and their
  application on the computation of B\'ezier curves   In this paper, a new method to compute a B\'ezier curve of degree n = 2m-1 is
introduced, here formulated as a set of points whose coordinates are calculated
from two Hankel forms in $\C^m$. From Vandermonde factorizations of the two
associated Hankel matrices $H_x$ and $H_y$, the Hankel forms can be easily
calculated, thus yielding points on the B\'ezier curve. Here, a new proof of
the existence of a Vandermonde factorization of regular Hankel matrix is given
from Pascal matrices techniques. But, even when the Hankel matrix associated to
the form is singular, the method can still be used by shifting its
skew-diagonal and counteracting it after, which is pratically done without
costs.. By comparing this new method with a Pascal matrix method and
Casteljau's, we see that the results suggest that this new method is very
effective with regard to accuracy and time of computation for various values of
n.

29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an