Matrix: GHS_psdef/wathen100

Description: Gould,Higham,Scott: matrix from Andy Wathen, Oxford Univ.

GHS_psdef/wathen100 graph
(undirected graph drawing)


GHS_psdef/wathen100

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  • Matrix group: GHS_psdef
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  • 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, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    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
    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:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,490,209
    Cholesky flop count1.9e+08
    nnz(L+U), no partial pivoting, with AMD2,950,017
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD2,975,942
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD7,068,015

    SVD-based statistics:
    norm(A)369.674
    min(svd(A))0.0635614
    cond(A)5816.01
    rank(A)30,401
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A))
    status:ok

    GHS_psdef/wathen100 svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.