A GaBP-GPU algorithm of solving large-scale sparse linear systems

被引:0
|
作者
Zheng, Hanyuan [1 ,2 ]
Song, Anping [1 ]
Liu, Zhixiang [1 ]
Xu, Lei [1 ]
Zhang, Wu [1 ]
机构
[1] School of Computer Engineering and Science, Shanghai University, Shanghai 200444, China
[2] Department of Computer, Longyan University, Lingyan 364000, China
来源
关键词
Linear systems - Matrix algebra - Graphics processing unit;
D O I
10.12733/jics20102886
中图分类号
学科分类号
摘要
According to GaBP (Gaussian Belief Propagation) algorithm, this article presents a GaBP-GPU algorithm of solving large-scale symmetric diagonally dominant sparse linear systems based on GPU. Combined with GaBP-GPU algorithm, a storage format (MCSC) is presented. We extract some diagonally dominant matrices from the University of Florida Sparse Matrix Collection as test examples. The experimental results show that our algorithm has high efficiency in execution time under the same accuracy. © 2014 by Binary Information Press.
引用
收藏
页码:911 / 921
相关论文
共 50 条
  • [22] An efficient Hessian based algorithm for solving large-scale sparse group Lasso problems
    Zhang, Yangjing
    Zhang, Ning
    Sun, Defeng
    Toh, Kim-Chuan
    MATHEMATICAL PROGRAMMING, 2020, 179 (1-2) : 223 - 263
  • [23] An efficient Hessian based algorithm for solving large-scale sparse group Lasso problems
    Yangjing Zhang
    Ning Zhang
    Defeng Sun
    Kim-Chuan Toh
    Mathematical Programming, 2020, 179 : 223 - 263
  • [24] Harnessing the Cloud for Securely Solving Large-scale Systems of Linear Equations
    Wang, Cong
    Ren, Kui
    Wang, Jia
    Urs, Karthik Mahendra Raje
    31ST INTERNATIONAL CONFERENCE ON DISTRIBUTED COMPUTING SYSTEMS (ICDCS 2011), 2011, : 549 - 558
  • [25] Lattice Boltzmann for Large-Scale GPU Systems
    Gray, Alan
    Hart, Alistair
    Richardson, Alan
    Stratford, Kevin
    APPLICATIONS, TOOLS AND TECHNIQUES ON THE ROAD TO EXASCALE COMPUTING, 2012, 22 : 167 - 174
  • [26] Revisiting Linpack Algorithm on Large-scale CPU-GPU Heterogeneous Systems
    Shui, Chaoyang
    Yu, Xianzhi
    Yan, Yujin
    Wang, Yinshan
    Meng, Ke
    Tan, Guangming
    PROCEEDINGS OF THE 25TH ACM SIGPLAN SYMPOSIUM ON PRINCIPLES AND PRACTICE OF PARALLEL PROGRAMMING (PPOPP '20), 2020, : 411 - 412
  • [27] A Constructive Algorithm for Folding Large-Scale Systems of Linear Inequalities
    Lukatskii, A. M.
    Shapot, D. V.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2008, 48 (07) : 1100 - 1112
  • [28] A constructive algorithm for folding large-scale systems of linear inequalities
    A. M. Lukatskii
    D. V. Shapot
    Computational Mathematics and Mathematical Physics, 2008, 48 : 1100 - 1112
  • [29] A method for solving sparse linear equations of power systems based on GPU
    Key Laboratory of Control of Power Transmission and Conversion , Ministry of Education, Shanghai
    200240, China
    不详
    100192, China
    Dianli Xitong Zidonghue, 2 (74-80):
  • [30] Parallel GMRES implementation for solving sparse linear systems on GPU clusters
    Bahi, Jacques M.
    Couturier, Raphael
    Khodja, Lilia Ziane
    HIGH PERFORMANCE COMPUTING SYMPOSIUM 2011 (HPC 2011) - 2011 SPRING SIMULATION MULTICONFERENCE - BK 6 OF 8, 2011, 43 (02): : 12 - 19