Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Accurate numerical linear algebra with Bernstein-Vandermonde matrices   The accurate solution of some of the main problems in numerical linear
algebra (linear system solving, eigenvalue computation, singular value
computation and the least squares problem) for a totally positive
Bernstein-Vandermonde matrix is considered. Bernstein-Vandermonde matrices are
a generalization of Vandermonde matrices arising when considering for the space
of the algebraic polynomials of degree less than or equal to $n$ the Bernstein
basis, a widely used basis in Computer Aided Geometric Design, instead of the
monomial basis.
  Our approach is based on the computation of the bidiagonal factorization of a
totally positive Bernstein-Vandermonde matrix (or its inverse) by means of
Neville elimination. The explicit expressions obtained for the determinants
involved in the process makes the algorithm both fast and accurate.

15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys