Matrix: Janna/Hook_1498

Description: 3D model of a steel hook with tetrahedral finite elements

Janna/Hook_1498 graph
(undirected graph drawing)

Janna/Hook_1498 dmperm of Janna/Hook_1498

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  • Matrix group: Janna
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  • download as a MATLAB mat-file, file size: 352 MB. Use UFget(2546) or UFget('Janna/Hook_1498') in MATLAB.
  • download in Matrix Market format, file size: 250 MB.
  • download in Rutherford/Boeing format, file size: 203 MB.

    Matrix properties
    number of rows1,498,023
    number of columns1,498,023
    structural full rank?yes
    structural rank1,498,023
    # of blocks from dmperm30,001
    # strongly connected comp.30,001
    explicit zero entries1,542,994
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorC. Janna, M. Ferronato
    editorT. Davis
    kindstructural problem
    2D/3D problem?yes


    Authors: Carlo Janna and Massimiliano Ferronato                
    Symmetric Positive Definite Matrix                             
    # equations:   1498023                                         
    # non-zeroes: 60917445                                         
    Problem description: Structural problem                        
    The matrix Hook_1498 is obtained from a 3D mechanical problem  
    discretizing a steel hook with tetrahedral Finite Elements. The
    computational grid consists of regularly shaped elements with  
    three displacement unknowns associated to each node.           

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD2,437,506,980
    Cholesky flop count2.1e+13
    nnz(L+U), no partial pivoting, with AMD4,873,515,937
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD5,068,138,567
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD10,687,777,183

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1542994 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.