Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the accuracy and stability of algorithms most commonly used in the
  evaluation of Chebyshev polynomials of the first kind   This paper provides error analyses of the algorithms most commonly used for
the evaluation of the Chebyshev polynomial of the first kind $T_N(x)$. Some of
these algorithms are shown to be backward stable. This means that the computed
value of $T_N(x)$ in floating point arithmetic by these algorithms can be
interpreted as a slightly perturbed value of polynomial $T_N$, for slightly
perturbed value of $x$.

18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin