• UF Sparse Matrix Collection
  • Matrix group: GHS_psdef
  • Click here for a description of the GHS_psdef group.
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  • Matrix: GHS_psdef/wathen100
  • Description: Gould,Higham,Scott: matrix from Andy Wathen, Oxford Univ.
  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(1288) or UFget('GHS_psdef/wathen100') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    GHS_psdef/wathen100

    GHS_psdef/wathen100 graph

    Matrix properties
    number of rows30,401
    number of columns30,401
    nonzeros471,601
    structural full rank?yes
    structural rank30,401
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorA. Wathen
    editorN. Gould, Y. Hu, J. Scott
    date2004
    kindrandom 2D/3D problem
    2D/3D problem?yes

    Notes:

    rand('state',0); A = gallery('wathen',100,100) ; % (in MATLAB)
    

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))1,490,209 1,626,583
    Cholesky flop count1.9e+08 1.8e+08
    nnz(L+U), no partial pivoting2,950,017 3,222,765
    nnz(V) for QR, upper bound nnz(L) for LU2,975,942 2,810,797
    nnz(R) for QR, upper bound nnz(U) for LU7,068,015 6,429,496

    Maintained by Tim Davis, last updated 04-May-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.