Matrix: GHS_indef/aug3d

Description: Gould, Hu, & Scott: expanded system-3D PDE (CUTEr)

GHS_indef/aug3d graph
(undirected graph drawing)

GHS_indef/aug3d dmperm of GHS_indef/aug3d

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  • Matrix group: GHS_indef
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  • download as a MATLAB mat-file, file size: 131 KB. Use UFget(1217) or UFget('GHS_indef/aug3d') in MATLAB.
  • download in Matrix Market format, file size: 111 KB.
  • download in Rutherford/Boeing format, file size: 97 KB.

    Matrix properties
    number of rows24,300
    number of columns24,300
    structural full rank?no
    structural rank11,664
    # of blocks from dmperm2
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?no
    positive definite?no

    authorN. Gould
    editorN. Gould
    kind2D/3D problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD552,302
    Cholesky flop count1.4e+08
    nnz(L+U), no partial pivoting, with AMD1,080,304
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD8,584,109
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,494,046

    SVD-based statistics:
    null space dimension12,636
    full numerical rank?no
    singular value gap8.43642e+12

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

    GHS_indef/aug3d 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.