Matrix: Schenk_AFE/af_shell4

Description: Olaf Schenk, Univ. Basel: AutoForm Eng. GmbH, Zurich. sheet metal forming. positive definite

Schenk_AFE/af_shell4 graph
(undirected graph drawing)


Schenk_AFE/af_shell4

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  • Matrix group: Schenk_AFE
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  • download as a MATLAB mat-file, file size: 24 MB. Use UFget(943) or UFget('Schenk_AFE/af_shell4') in MATLAB.
  • download in Matrix Market format, file size: 40 MB.
  • download in Rutherford/Boeing format, file size: 14 MB.

    Matrix properties
    number of rows504,855
    number of columns504,855
    nonzeros17,562,051
    structural full rank?yes
    structural rank504,855
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries26,824
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorAutoForm Eng.
    editorO. Schenk
    date2003
    kindsubsequent structural problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 504855-by-1

    Notes:

    next: Schenk_AFE/af_shell5 first: Schenk_AFE/af_shell1
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD108,990,904
    Cholesky flop count8.0e+10
    nnz(L+U), no partial pivoting, with AMD217,476,953
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD201,837,552
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD392,881,990

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 26824 explicit zero entries.

    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.