AN OVERVIEW OF PARALLEL ALGORITHMS FOR THE SINGULAR VALUE AND SYMMETRIC EIGENVALUE PROBLEMS

被引:16
|
作者
BERRY, M [1 ]
SAMEH, A [1 ]
机构
[1] UNIV ILLINOIS,CTR SUPERCOMP RES & DEV,URBANA,IL 61801
关键词
D O I
10.1016/0377-0427(89)90366-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:191 / 213
页数:23
相关论文
共 50 条
  • [1] THE SOLUTION OF SINGULAR-VALUE AND SYMMETRIC EIGENVALUE PROBLEMS ON MULTIPROCESSOR ARRAYS
    BRENT, RP
    LUK, FT
    [J]. SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1985, 6 (01): : 69 - 84
  • [2] On eigenvalue, singular value and norm of symmetric matrices
    Ipek, Ahmet
    [J]. JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, 2023, 44 (04): : 689 - 696
  • [3] Parallel algorithms for dense eigenvalue problems
    Sun, XB
    [J]. WORKSHOP ON HIGH PERFORMANCE COMPUTING AND GIGABIT LOCAL AREA NETWORKS, 1997, 226 : 202 - 212
  • [4] Performance Modeling of Multishift QR Algorithms for the Parallel Solution of Symmetric Tridiagonal Eigenvalue Problems
    Miyata, Takafumi
    Yamamoto, Yusaku
    Zhang, Shao-Liang
    [J]. ALGORITHMS AND ARCHITECTURES FOR PARALLEL PROCESSING, PT 2, PROCEEDINGS, 2010, 6082 : 401 - +
  • [5] The effects of inexact solvers in algorithms for symmetric eigenvalue problems
    Smit, P
    Paardekooper, MHC
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 287 (1-3) : 337 - 357
  • [6] A parallel Lanczos method for symmetric generalized eigenvalue problems
    Wu, Kesheng
    Simon, Horst
    [J]. Computing and Visualization in Science, 1999, 2 (01): : 37 - 46
  • [7] Developing algorithms and software for the parallel solution of the symmetric eigenvalue problem
    Auckenthaler, T.
    Bungartz, H. -J.
    Huckle, T.
    Kraemer, L.
    Lang, B.
    Willems, P.
    [J]. JOURNAL OF COMPUTATIONAL SCIENCE, 2011, 2 (03) : 272 - 278
  • [8] A smallest singular value method for nonlinear eigenvalue problems
    Sadkane, Miloud
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (01): : 16 - 28
  • [9] THE BOUNDS OF EIGENVALUE FOR COMPLEX SINGULAR BOUNDARY VALUE PROBLEMS
    Sun, Fu
    Han, Xiaoxue
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (01): : 127 - 139
  • [10] NUMERICAL GRADIENT ALGORITHMS FOR EIGENVALUE AND SINGULAR-VALUE CALCULATIONS
    MOORE, JB
    MAHONY, RE
    HELMKE, U
    [J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1994, 15 (03) : 881 - 902