解非对称鞍点问题的广义交替分裂预处理子的一个注记(A note of generalized shift-splitting preconditioners for nonsymmetric saddle point problems)

Recently, CAO et al introduced a generalized shift-splitting preconditioner for saddle point problems with nonsymmetric positive definite (1, 1)-block. In this paper, we establish a parameterized shift-splitting preconditioner for solving the large sparse augmented systems of linear equations. Furthermore, we obtain some useful properties of the new preconditioned saddle point matrix, which has the intersection with the generalized shift-splitting preconditioner

evaluation and introduction of the toolkit for advanced optimization

本文通过在曙光2000Ⅱ的运行,从起源与现状、设计原理、核心组件、具体算例等方面给出了高级最优化工具箱TAO的一个评介,并从具体实用中给出了TAO的优缺点及建议

JUNO Sensitivity on Proton Decay p→νˉK+p\to \bar\nu K^+ Searches

The Jiangmen Underground Neutrino Observatory (JUNO) is a large liquid scintillator detector designed to explore many topics in fundamental physics. In this paper, the potential on searching for proton decay in $p\to \bar\nu K^+$ mode with JUNO is investigated.The kaon and its decay particles feature a clear three-fold coincidence signature that results in a high efficiency for identification. Moreover, the excellent energy resolution of JUNO permits to suppress the sizable background caused by other delayed signals. Based on these advantages, the detection efficiency for the proton decay via $p\to \bar\nu K^+$ is 36.9% with a background level of 0.2 events after 10 years of data taking. The estimated sensitivity based on 200 kton-years exposure is $9.6 \times 10^{33}$ years, competitive with the current best limits on the proton lifetime in this channel

JUNO sensitivity on proton decay p → ν K + searches*

The Jiangmen Underground Neutrino Observatory (JUNO) is a large liquid scintillator detector designed to explore many topics in fundamental physics. In this study, the potential of searching for proton decay in the $p\to \bar{\nu} K^+$ mode with JUNO is investigated. The kaon and its decay particles feature a clear three-fold coincidence signature that results in a high efficiency for identification. Moreover, the excellent energy resolution of JUNO permits suppression of the sizable background caused by other delayed signals. Based on these advantages, the detection efficiency for the proton decay via $p\to \bar{\nu} K^+$ is 36.9% ± 4.9% with a background level of $0.2\pm 0.05({\rm syst})\pm$$0.2({\rm stat})$ events after 10 years of data collection. The estimated sensitivity based on 200 kton-years of exposure is $9.6 \times 10^{33}$ years, which is competitive with the current best limits on the proton lifetime in this channel and complements the use of different detection technologies