Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaled Relative Graph: Nonexpansive operators via 2D Euclidean Geometry   Many iterative methods in applied mathematics can be thought of as
fixed-point iterations, and such algorithms are usually analyzed analytically,
with inequalities. In this paper, we present a geometric approach to analyzing
contractive and nonexpansive fixed point iterations with a new tool called the
scaled relative graph (SRG). The SRG provides a correspondence between
nonlinear operators and subsets of the 2D plane. Under this framework, a
geometric argument in the 2D plane becomes a rigorous proof of convergence.

30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th