Matrix: Puri/ABACUS_shell_ud

Description: ABAQUS benchmark: pt.loaded fluid-filled spherical shell

Puri/ABACUS_shell_ud graph
(undirected graph drawing)


Puri/ABACUS_shell_ud

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  • Matrix group: Puri
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  • download as a MATLAB mat-file, file size: 5 MB. Use UFget(2269) or UFget('Puri/ABACUS_shell_ud') in MATLAB.
  • download in Matrix Market format, file size: 6 MB.
  • download in Rutherford/Boeing format, file size: 5 MB.

    Matrix properties
    number of rows23,412
    number of columns23,412
    nonzeros218,484
    structural full rank?yes
    structural rank23,412
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 98%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorS. Puri
    editorT. Davis
    date2009
    kindmodel reduction problem
    2D/3D problem?yes

    Additional fieldssize and type
    bsparse 23412-by-1
    csparse 1-by-23412
    Ksparse 23412-by-23412
    Msparse 23412-by-23412
    closedformfull 901-by-2
    Vansysfull 901-by-1
    Varnoldifull 901-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD988,060
    Cholesky flop count1.1e+08
    nnz(L+U), no partial pivoting, with AMD1,952,708
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,643,800
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,073,542

    SVD-based statistics:
    norm(A)1.12834e+13
    min(svd(A))0.000568151
    cond(A)1.98598e+16
    rank(A)2,048
    sprank(A)-rank(A)21,364
    null space dimension21,364
    full numerical rank?no
    singular value gap1.00025

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

    Puri/ABACUS_shell_ud 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.