Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The convergence analysis of an accelerated iteration for solving
  algebraic Riccati equations   The discrete-time algebraic Riccati equation (DARE) have extensive
applications in optimal control problems. We provide new theoretical supports
to the stability properties of solutions to the DARE and reduce the convergence
conditions under which the accelerated fixed-point iteration (AFPI) can be
applied to compute the numerical solutions of DARE. In particular, we verify
that the convergence of AFPI is R-superlinear when the spectral radius of the
closed-loop matrix is greater than 1, which is shown by mild assumption and
only using primary matrix theories. Numerical examples are shown to illustrate
the consistency and effectiveness of our theoretical results.

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The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
16
The categories of this paper are: stat
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The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics