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Modified block BiCGSTAB for lattice QCD

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TLDR
The QR decomposition improves convergence behaviors in the block BiCGSTAB algorithm suppressing deviation between true residual and recursive one and the SAP preconditioner applied to the domain-decomposed lattice helps to minimize communication overhead.
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This article is published in Computer Physics Communications.The article was published on 2012-01-01 and is currently open access. It has received 17 citations till now. The article focuses on the topics: QR decomposition & Lattice QCD.

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ΛΛ and NΞ interactions from lattice QCD near the physical point

TL;DR: In this paper, the S-wave ΛΛ and NΞ interactions were studied on the basis of the (2+1)-flavor lattice QCD simulations close to the physical point (m π ≃ 146 MeV and m K ≃ 525 MeV ).
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Most Strange Dibaryon from Lattice QCD.

TL;DR: In this paper, a lattice QCD data analysis by the HAL QCD method leads to the scattering length (a} = 4.6(6), the effective range (r} = 1.27(3), and the binding energy (B}=1.06
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NΩ dibaryon from lattice QCD near the physical point

TL;DR: In this paper, the nucleon(N)-Omega(Ω) system in the S-wave and spin-2 channel (S 2 5 ) is studied from the (2+1)-flavor lattice QCD with nearly physical quark masses (m π ≃ 146 MeV and m K ≃ 525 MeV ).
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Baryon interactions from lattice QCD with physical quark masses -- Nuclear forces and $\Xi\Xi$ forces --

TL;DR: In this article, the lattice results for baryon interactions obtained at nearly physical quark masses are presented, where the Wilson quark action with stout smearing and Iwasaki gauge action are employed on a lattice of $(96a)^4 \simeq (8.1\mbox{fm})^4$ with $a^{-1} \ simeq 2.3$ GeV.
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A breakdown-free block conjugate gradient method

TL;DR: A simple solution, breakdown-free block conjugate gradient (BFBCG), is designed to address the rank deficiency problem, and the rationale of the BFBCG algorithm is to derive new forms of parameter matrices based on the potentially reduced search subspace to handle rank deficiency.
References
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Journal ArticleDOI

The block conjugate gradient algorithm and related methods

TL;DR: A block biconjugate gradient algorithm for general matrices is developed, and block conjugate gradient, minimum residual, and minimum error algorithms for symmetric semidefinite matrices are developed.
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2+1 Flavor Lattice QCD toward the Physical Point

TL;DR: In this article, the PACS-CS project presented the first results of a simulation of a 2+1$ flavor lattice QCD on the physical point with the nonperturbatively improved Wilson quark action and the Iwasaki gauge action.
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Renormalization group analysis of lattice theories and improved lattice action: Two-dimensional non-linear O( N) sigma model

TL;DR: In this article, a block-spin renormalization group analysis is made for the two-dimensional nonlinear O(N) sigma model, and an improved action is obtained in such a way that it is closest to the renormalized trajectory.
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Schwarz-preconditioned HMC algorithm for two-flavor lattice QCD

TL;DR: The combination of a non-overlapping Schwarz preconditioner and the Hybrid Monte Carlo algorithm is shown to yield an efficient simulation algorithm for two-flavor lattice QCD with Wilson quarks.
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Physical point simulation in 2+1 flavor lattice QCD

TL;DR: In this article, the results of the physical point simulation in $2+1$ flavor lattice QCD with the nonperturbatively improved Wilson quark action and the Iwasaki gauge action at $\ensuremath{\beta}=1.9$ on a ${32}^{3}ifmmode\times\else\texttimes\fi{}64$ lattice were presented.
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