Matrix: Puri/ABACUS_shell_md

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

Puri/ABACUS_shell_md graph
(undirected graph drawing)


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  • Matrix group: Puri
  • Click here for a description of the Puri group.
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  • download as a MATLAB mat-file, file size: 5 MB. Use UFget(2271) or UFget('Puri/ABACUS_shell_md') in MATLAB.
  • download in Matrix Market format, file size: 7 MB.
  • download in Rutherford/Boeing format, file size: 6 MB.

    Matrix properties
    number of rows23,412
    number of columns23,412
    structural full rank?yes
    structural rank23,412
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 89%
    Cholesky candidate?no
    positive definite?no

    authorS. Puri
    editorT. Davis
    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
    Esparse 23412-by-23412
    TSSOARfull 901-by-1
    Mzerossparse 23412-by-23412

    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:
    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))

    Puri/ABACUS_shell_md 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.