Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Preconditioning the non-relativistic many-fermion problem   Preconditioning is at the core of modern many-fermion Monte Carlo algorithms,
such as Hybrid Monte Carlo, where the repeated solution of a linear problem
involving an ill-conditioned matrix is needed. We report on a performance
comparison of three preconditioning strategies, namely Chebyshev polynomials,
strong-coupling approximation and weak-coupling expansion. We use conjugate
gradient (CG) on the normal equations as well as stabilized biconjugate
gradient (BiCGStab) as solvers and focus on the fermion matrix of the unitary
Fermi gas. Our results indicate that BiCGStab is by far the most efficient
strategy, both in terms of the number of iterations and matrix-vector
operations.

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The categories of this paper are: eess
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
30
The categories of this paper are: q-alg