Matrix: Mancktelow/viscorocks

Description: FEM viscoelastic behavior of rocks, Neil Mancktelow, ETH-Zentrum

Mancktelow/viscorocks graph
(undirected graph drawing)


Mancktelow/viscorocks dmperm of Mancktelow/viscorocks

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  • download as a MATLAB mat-file, file size: 6 MB. Use UFget(1879) or UFget('Mancktelow/viscorocks') in MATLAB.
  • download in Matrix Market format, file size: 11 MB.
  • download in Rutherford/Boeing format, file size: 10 MB.

    Matrix properties
    number of rows37,762
    number of columns37,762
    nonzeros1,133,641
    structural full rank?yes
    structural rank37,762
    # of blocks from dmperm773
    # strongly connected comp.773
    explicit zero entries28,603
    nonzero pattern symmetrysymmetric
    numeric value symmetry 28%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorN. Mancktelow
    editorT. Davis
    date2007
    kindmaterials problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD2,711,148
    Cholesky flop count3.3e+08
    nnz(L+U), no partial pivoting, with AMD5,384,534
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD6,061,883
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD14,916,823

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 28603 explicit zero entries.

    SVD-based statistics:
    norm(A)7.41627e+07
    min(svd(A))7.59074e-05
    cond(A)9.77015e+11
    rank(A)37,752
    sprank(A)-rank(A)10
    null space dimension10
    full numerical rank?no
    singular value gap1.23543

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

    Mancktelow/viscorocks 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.