Matrix: GHS_indef/aug3dcqp

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

GHS_indef/aug3dcqp graph
(undirected graph drawing)


GHS_indef/aug3dcqp dmperm of GHS_indef/aug3dcqp
scc of GHS_indef/aug3dcqp

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  • Matrix group: GHS_indef
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  • download as a MATLAB mat-file, file size: 442 KB. Use UFget(1218) or UFget('GHS_indef/aug3dcqp') in MATLAB.
  • download in Matrix Market format, file size: 478 KB.
  • download in Rutherford/Boeing format, file size: 455 KB.

    Matrix properties
    number of rows35,543
    number of columns35,543
    nonzeros128,115
    structural full rank?yes
    structural rank35,543
    # of blocks from dmperm2
    # strongly connected comp.2
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorN. Gould
    editorN. Gould
    date1994
    kind2D/3D problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD923,509
    Cholesky flop count3.0e+08
    nnz(L+U), no partial pivoting, with AMD1,811,475
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD6,562,149
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD11,649,713

    SVD-based statistics:
    norm(A)2.50594e+08
    min(svd(A))1.33519e-07
    cond(A)1.87684e+15
    rank(A)28,387
    sprank(A)-rank(A)7,156
    null space dimension7,156
    full numerical rank?no
    singular value gap1.00138

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

    GHS_indef/aug3dcqp 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.