Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Solution of the Nonsymmetric T-Riccati Equation   The nonsymmetric T-Riccati equation is a quadratic matrix equation where the
linear part corresponds to the so-called T-Sylvester or T-Lyapunov operator
that has previously been studied in the literature. It has applications in
macroeconomics and policy dynamics. So far, it presents an unexplored problem
in numerical analysis, and both, theoretical results and computational methods,
are lacking in the literature. In this paper we provide some sufficient
conditions for the existence and uniqueness of a nonnegative minimal solution
and its efficient computation is deeply analyzed. Both the small-scale and the
large-scale setting are addressed and Newton-Kleinman-like methods are derived.
The convergence of these procedures to the minimal solution is proved and
several numerical results illustrate the computational efficiency of the
proposed methods.

33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: eess
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph