Algebraic multigrid for directed graph Laplacian linear systems (NS‐LAMG)

机译：用于定向图Laplacian线性系统的代数MultigridRid（NS-LAMG）

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

Summary >We propose nonsymmetric lean algebraic multigrid (NS‐LAMG), a new algebraic multigrid algorithm for directed graph Laplacian systems that combines ideas from undirected graph Laplacian multigrid solvers and multigrid algorithms for Markov chain stationary distribution systems. Low‐degree elimination, proposed in LAMG for undirected graphs, is generalized to directed graphs and is a key component of NS‐LAMG. In the setup phase, we propose a simple stationary‐aggregation multigrid algorithms for Markov chain stationary distribution systems solver enhanced by low‐degree elimination to find the right null‐space vector that is used for the intergrid transfer operators. Numerical results show that low‐degree elimination improves performance and that NS‐LAMG outperforms generalized minimal residual method with restart and stable bi‐conjugate gradient method for real‐world, directed graph Laplacian linear systems. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><Abstract Type =“main”xml：lang =“en”xml：id =“nla2152-abs-abs-abs-0001”> <标题类型=“main”>摘要</ title> >我们提出非对称瘦代数Multigrid（ns -Lamg），一种用于定向图Laplacian系统的新代数多重级算法，其将来自无向图的Laplacian Multigrid求解器和Markov链固定式分配系统的多档算法结合起来。在LAMG中提出的低度消除用于无向图的图形，是指向图的指导图，并且是NS-LAMG的关键组成部分。在设置阶段，我们提出了一种简单的静止 - 聚合多重资料，用于Markov链静止分配系统求解器，通过低度消除增强，以找到用于互耕传输运算符的右无空间向量。数值结果表明，低度消除可提高性能，并且NS-LAMG以重启和稳定的双缀合格梯度方法为现实世界，定向图拉普拉斯线性系统的普遍性最小残余方法。</ p> </摘要> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-26104/'>《Numerical linear algebra with applications》</a> <b style="margin: 0 2px;">|</b><span>2018年第3期</span><b style="margin: 0 2px;">|</b><span>共16页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Fox Alyson&option=202" target="_blank" rel="nofollow">Fox Alyson;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Manteuffel Thomas&option=202" target="_blank" rel="nofollow">Manteuffel Thomas;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Center for Applied Scientific ComputingLawrence Livermore National LaboratoryLivermore CA 94551 USA;</p> <p>Department of Applied MathematicsUniversity of Colorado BoulderBoulder CO 80303 USA;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/4602.html" title="代数方程论、线性代数">代数方程论、线性代数;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=algebraic multigrid&option=203" rel="nofollow">algebraic multigrid;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=directed graphs&option=203" rel="nofollow">directed graphs;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=graph Laplacians&option=203" rel="nofollow">graph Laplacians;</a> </p> <div class="translation"> 机译：代数Multigraid;有向图;图拉普拉斯人; </div> </li> <li> <span class="lefttit">入库时间</span> <span>2022-08-20 04:43:04</span> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/academic-journal-cn_journal-southeast-university-english-edition_thesis/0201235273809.html">定向量子余代数与其自身张量积上的定向量子余代数结构</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=马天水&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">马天水,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=王栓宏&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">王栓宏 </a> <a href="/journal-foreign-3923/" target="_blank" rel="nofollow" class="tuijian_authcolor">东南大学学报（英文版） .</a> <span>2009</span><span>,第002期</span> </span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704023921201.html">Algebraic multigrid for directed graph Laplacian linear systems (NS‐LAMG)</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Fox Alyson&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Fox Alyson,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Manteuffel Thomas&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Manteuffel Thomas </a> <a href="/journal-foreign-26104/" target="_blank" rel="nofollow" class="tuijian_authcolor">Numerical linear algebra with applications .</a> <span>2018</span><span>,第3期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：用于定向图Laplacian线性系统的代数MultigridRid（NS-LAMG）</span> </p> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/070407993220.html">Algebraic multigrid methods for Laplacians of graphs</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Bolten M.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Bolten M.,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Friedhoff S.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Friedhoff S.,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Frommer A.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Frommer A.,</a> <a href="/journal-foreign-26440/" target="_blank" rel="nofollow" class="tuijian_authcolor">Linear Algebra and its Applications .</a> <span>2011</span><span>,第11期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：图的拉普拉斯算子的代数多重网格方法</span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/070407731218.html">Algebraic multigrid methods for constrained linear systems with applications to contact problems in solid mechanics</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Mark F. Adams&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Mark F. Adams </a> <a href="/journal-foreign-26104/" target="_blank" rel="nofollow" class="tuijian_authcolor">Numerical linear algebra with applications .</a> <span>2004</span><span>,第2a3期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：约束线性系统的代数多重网格方法及其在固体力学中接触问题的应用</span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/academic-conference-foreign_meeting-201154_thesis/020513784525.html">Nonlinear consensus under directed graph via the edge Laplacian</a> <b>[C]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Zeng Zhiwen&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Zeng Zhiwen,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Wang Xiangke&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Wang Xiangke,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Zheng Zhiqiang&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Zheng Zhiqiang </a> <a href="/conference-foreign-201154/" target="_blank" rel="nofollow" class="tuijian_authcolor">Chinese Control and Decision Conference .</a> <span>2014</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：通过边拉普拉斯算子在有向图下的非线性一致性</span> </p> </li> <li> <div> <b>6. </b><a class="enjiyixqcontent" href="/academic-degree-foreign_mphd_thesis/02061825838.html">Algebraic Multigrid(AMG) for Graph Laplacian Linear Systems: Extensions of AMG for Signed, Undirected and Unsigned, Directed Graphs</a> <b>[D] </b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Fox, A. L.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Fox, A. L. </a> <span>2017</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：Graph Laplacian线性系统的代数Multigrid（AMG）：AMG的扩展，用于签名，无向和无符号，定向图</span> </p> </li> <li> <div> <b>7. </b><a class="enjiyixqcontent" href="/academic-journal-foreign-pmc_detail_thesis/040002400124.html">Multiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the (p1… pn)-Laplacian Operator</a> <b>[O] </b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Armin Hadjian&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Armin Hadjian,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Saleh Shakeri&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Saleh Shakeri </a> <span>2013</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：一类Dirichlet双特征值拟线性椭圆系统的多重解其中（p1…pn）-拉普拉斯算子</span> </p> </li> <li> <div> <b>8. </b><a class="enjiyixqcontent" href="/open-access_resources_thesis/0100064451725.html ">1 LEAN ALGEBRAIC MULTIGRID (LAMG): FAST GRAPH LAPLACIAN LINEAR SOLVER</a> <b>[O] </b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Oren E. Livne&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Oren E. Livne,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Achi&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Achi,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=E. Brandt&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">E. Brandt </a> <span>2016</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：1个精益代数多重网格（LamG）：快速图形拉普拉斯线性解</span> </p> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/academic-journal-cn_journal-data-acquisition-processing_thesis/0201236578214.html">图Laplacian和自训练用于高光谱数据半监督波段选择</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=黄睿&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 黄睿</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=吕智强&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,吕智强</a> <span> <a href="/journal-cn-8769/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 数据采集与处理 </a> </span> <span> . 2014</span><span>,第006期</span> </span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/academic-journal-cn_journal-applied-sciences_thesis/0201297839.html">图Laplacian半监督特征加权用于高光谱波段选择</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=黄睿&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 黄睿</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=陈玲&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,陈玲</a> <span> <a href="/journal-cn-5219/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 应用科学学报 </a> </span> <span> . 2011</span><span>,第006期</span> </span> </div> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/academic-journal-cn_journal-east-china-university-science-technology_thesis/0201282128828.html">定向图的张量代数中的单元</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=徐一丹&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 徐一丹</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=李建奎&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,李建奎</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=李姗&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,李姗</a> <span> <a href="/journal-cn-4622/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 华东理工大学学报（自然科学版） </a> </span> <span> . 2020</span><span>,第006期</span> </span> </div> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/academic-journal-cn_chinese-journal-engineering-mathematics_thesis/0201211919686.html">图的Laplacian矩阵和拟-Laplacian矩阵的谱半径</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=谭尚旺&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 谭尚旺</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=郭纪明&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,郭纪明</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=亓健&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,亓健</a> <span> <a href="/journal-cn-7658/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 工程数学学报 </a> </span> <span> . 2003</span><span>,第006期</span> </span> </div> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/academic-conference-cn_meeting-22786_thesis/02022710044.html">极大代数上线性系统的3维最小实现</a> <b>[C]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=孙志敏&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 孙志敏</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=陈文德&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,陈文德</a> <span> <a href="/conference-cn-22786/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 第25届中国控制会议 </a> <span> <span> . 2006</span> </span> </div> </li> <li> <div> <b>6. </b><a class="enjiyixqcontent" href="/academic-degree-domestic_mphd_thesis/020316085669.html">顶点加权定向唯一圈图的边理想的幂的代数性质</a> <b>[A] </b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=王红&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 王红</a> <span> . 2020</span> </span> </div> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/patent-detail/061204264856.html">基于微分代数与高斯和的非线性系统状态偏差演化方法</a> <b>[P]</b> . <span> 中国专利： CN107402903B </span> <span> . 2021.02.26</span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/patent-detail/06120109899829.html">基于微分代数与高斯和的非线性系统状态偏差演化方法</a> <b>[P]</b> . <span> 中国专利： CN107402903A </span> <span> . 2017-11-28</span> </div> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/patent-detail/06130492748889.html">device for solving systems of linear equations and the production of basic algebra computing operations associated with the multiplication of matrices</a> <b>[P]</b> . <span> 外国专利：  SU96852A1 </span> <span> . 1953-11-30</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：用于求解线性方程组和与矩阵乘法相关的基本代数计算运算的设备 </span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/patent-detail/06130407320296.html">Systems and methods for performing linear algebra operations using multi-mode optics</a> <b>[P]</b> . <span> 外国专利：  US10095262B2 </span> <span> . 2018-10-09</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：使用多模光学器件执行线性代数运算的系统和方法 </span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/patent-detail/06130407226920.html">SYSTEMS AND METHODS FOR PERFORMING LINEAR ALGEBRA OPERATIONS USING MULTI-MODE OPTICS</a> <b>[P]</b> . <span> 外国专利：  US2018165248A1 </span> <span> . 2018-06-14</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：使用多模光学进行线性代数运算的系统和方法 </span> </p> </li> </ul> </div> </div> </div> <div class="theme cardcommon" style="overflow: auto;display:none"> <h3 class="all_title" id="enpatent55">相关主题</h3> <ul id="subject"> </ul> </div> </div> </div> </div> <div class="right rightcon"> <div class="details_img cardcommon clearfix" style="margin-bottom: 10px;display:none;" > </div> </div> </div> <div id="thesis_get_original1" class="downloadBth" style="bottom: 19px;z-index: 999;" onclick="ywcd('0704023921201','4',7,2,1,'',this,24)" class="delivery" prompt="010401" title="通过人工服务将文献原文发送至邮箱" >获取原文</div> <div class="journalsub-pop-up" style="display: none"> <div class="journal-sub"> <h2>期刊订阅</h2> <img src="https://cdn.zhangqiaokeyan.com/img/loginclose.png" alt="" onclick="$('.journalsub-pop-up').hide()"> <p class="pardon">抱歉，该期刊暂不可订阅，敬请期待！</p> <p class="current">目前支持订阅全部北京大学中文核心（2020）期刊目录。</p> <div style="display: flex;margin-top: 69px;justify-content: space-between;"> <div class="no-sub" onclick="$('.journalsub-pop-up').hide()">暂不订阅</div> <div class="other-sub" onclick="continueSub('from=pc-detail')">继续订阅其他期刊</div> </div> </div> </div> <div class="right_btn"> <ul> <li class="gouwuche">  </li> <li class="yijian"> <a href="javascript:void(0);" onclick="link_analysis('/mycenter/auth/complaint.html',this)">意见反馈</a> </li> <li class="top"> <a href="javascript:scrollTo(0,0);">回到顶部</a> </li> <li class="shouye"> <a href="/">回到首页</a> </li> </ul> </div> <div class="xllindexfooter"> <div class="xllindexfootercenter"> <div class="xllindexfooterleft left" > <div class="xllindexfooterleftli"> <ul> <li><a href="/about.html">关于掌桥</a></li> <li><a href="/help/helpmap.html">资源导航</a></li> <li><a href="/help/helpguide.html">新手指南</a></li> <li><a href="/help/helpcenter.html">常见问题</a></li> <li><a href="/sitemap.html">网站地图</a></li> <li><a href="/help/helpcenter.html?type=9">版权声明</a></li> </ul> </div> <div class="xllindexfooterleft"> <p class="xllindexfooterlefteamil">客服邮箱：kefu@zhangqiaokeyan.com</p> <div class="xllindexfooterlefttcp"> <div class="xllindexfooterpoliceiimg"></div> <div class="xllindexfooterpoliceispan"> <span>京公网安备：11010802029741号 </span> <span>ICP备案号：<a href="https://beian.miit.gov.cn" rel="nofollow" target="_blank">京ICP备15016152号-6</a></span> <span>六维联合信息科技 (北京) 有限公司©版权所有</span> </div> </div> </div> </div> <div class="xllindexfooterright left"> <ul> <li> <p style="font-weight: bold;">客服微信</p> <div></div> </li> <li> <p style="font-weight: bold;">服务号</p> <div></div> </li> </ul> </div> </div> </div> <span id="0704023921201down" data-source="7," data-out-id="uRmFnQKqAgZF2yuhd6MAz5lQA3hEtODEO90bPCQS4aH58E652St3LKl8SXwH3diu," data-f-source-id="7" data-title="Algebraic multigrid for directed graph Laplacian linear systems (NS‐LAMG)" data-price="20" data-site-name="" data-transnum="24" style="display:none;"></span> <input type="hidden" value="4" id="sourcetype"> <input type="hidden" value="26104" id="journalid"> <input type="hidden" value="https://cdn.zhangqiaokeyan.com" id="imgcdn"> <input type="hidden" value="1" id="isdeatail"> <input type="hidden" value="" id="syyn_indexed_database"> <input type="hidden" value="" id="servicetype"> <input type="hidden" id="pagename" value="Algebraic multigrid for directed graph Laplacian linear systems (NS‐LAMG)"/> <input type="hidden" value="thesis_get_original" id="pageIdentification"> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/jquery-1.12.4.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/lwlh_ajax.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/zq.js?v=5.7.6"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/common.js?v=5.7.6"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/jquery.cookie.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/top.js?v=5.7.6"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/tip.js?v=5.7.6"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/login.js?v=5.7.6"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/down.js?v=5.7.6"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/search.js?v=5.7.6"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/searchtype.js?v=5.7.6"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/user/regist.js?v=5.7.6"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/zxs_solor/detail.js?v=5.7.6"></script> <script type="text/javascript" src="https://www.zhangqiaokeyan.com/statistics/static/pagecollection.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/tj.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/pushbaidu.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/history.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/util/cookie.js?v=5.7.6"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/weipu/weipu.js?v=5.7.6"></script> </body> <script> $(function(){ var weiPuStatus = getCookie('WeiPuStatus'); if(weiPuStatus){ tipWeiPuStatus(weiPuStatus); delCookie('WeiPuStatus'); } getFacetKeywordVoInId(); var sourcetype = $("#sourcetype").val(); if(sourcetype ==1||sourcetype==4){ getJournal(); } }) </script> </html>