Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The explicit formula for Gauss-Jordan elimination and error analysis   The explicit formula for the elements of the successive intermediate matrices
of the Gauss-Jordan elimination procedure for the solution of systems of linear
equations is applied to error analysis. Stability conditions in terms of
relative uncertainty and size of determinants are given such that the
Gauss-Jordan procedure leads to a solution respecting the original imprecisions
in the right-hand member. The solution is the same as given by Cramer's Rule.
Imprecisions are modelled by scalar neutrices, which are convex groups of
(nonstandard) real numbers. The resulting calculation rules extend informal
error calculus, and permit to keep track of the errors at every stage.

31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex