Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Guaranteed convergence for a class of coupled-cluster methods based on
  Arponen's extended theory   A wide class of coupled-cluster methods is introduced, based on Arponen's
extended coupled-cluster theory. This class of methods is formulated in terms
of a coordinate transformation of the cluster operators. The mathematical
framework for the error analysis of coupled-cluster methods based on Arponen's
bivariational principle is presented, in which the concept of local strong
monotonicity of the flipped gradient of the energy is central. A general
mathematical result is presented, describing sufficient conditions for
coordinate transformations to preserve the local strong monotonicity. The
result is applied to the presented class of methods, which include the standard
and quadratic coupled-cluster methods, and also Arponen's canonical version of
extended coupled-cluster theory. Some numerical experiments are presented, and
the use of canonical coordinates for diagnostics is discussed.

16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin