Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonmonotone Globalization for Anderson Acceleration Using Adaptive
  Regularization   Anderson acceleration (AA) is a popular method for accelerating fixed-point
iterations, but may suffer from instability and stagnation. We propose a
globalization method for AA to improve stability and achieve unified global and
local convergence. Unlike existing AA globalization approaches that rely on
safeguarding operations and might hinder fast local convergence, we adopt a
nonmonotone trust-region framework and introduce an adaptive quadratic
regularization together with a tailored acceptance mechanism. We prove global
convergence and show that our algorithm attains the same local convergence as
AA under appropriate assumptions. The effectiveness of our method is
demonstrated in several numerical experiments.

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The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
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The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
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The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an