Matrix: GHS_indef/stokes64

Description: Gould, Hu, & Scott: Stokes equation, from Mario Arioli

GHS_indef/stokes64 graph
(undirected graph drawing)


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  • Matrix group: GHS_indef
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  • download as a MATLAB mat-file, file size: 285 KB. Use UFget(1247) or UFget('GHS_indef/stokes64') in MATLAB.
  • download in Matrix Market format, file size: 336 KB.
  • download in Rutherford/Boeing format, file size: 225 KB.

    Matrix properties
    number of rows12,546
    number of columns12,546
    structural full rank?yes
    structural rank12,546
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?no
    positive definite?no

    authorM. Arioli
    editorN. Gould, Y. Hu, J. Scott
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD487,299
    Cholesky flop count4.3e+07
    nnz(L+U), no partial pivoting, with AMD962,052
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,046,650
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,348,996

    SVD-based statistics:
    null space dimension2
    full numerical rank?no
    singular value gap1.92936e+09

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

    GHS_indef/stokes64 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.