Matrix: Boeing/pcrystk02

Description: FEM CRYSTAL FREE VIBRATION STIFFNESS MATRIX

Boeing/pcrystk02 graph
(undirected graph drawing)


Boeing/pcrystk02

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  • Matrix group: Boeing
  • Click here for a description of the Boeing group.
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  • download as a MATLAB mat-file, file size: 377 KB. Use UFget(366) or UFget('Boeing/pcrystk02') in MATLAB.
  • download in Matrix Market format, file size: 912 KB.
  • download in Rutherford/Boeing format, file size: 300 KB.

    Matrix properties
    number of rows13,965
    number of columns13,965
    nonzeros968,583
    structural full rank?yes
    structural rank13,965
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorR. Grimes
    editorT. Davis
    date1995
    kindduplicate materials problem
    2D/3D problem?yes

    Notes:

    This matrix is the nonzero pattern of Boeing/crystk02
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD6,118,928
    Cholesky flop count4.5e+09
    nnz(L+U), no partial pivoting, with AMD12,223,891
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD5,340,099
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD10,693,425

    SVD-based statistics:
    norm(A)76.0444
    min(svd(A))2.66037e-82
    cond(A)2.85841e+83
    rank(A)4,624
    sprank(A)-rank(A)9,341
    null space dimension9,341
    full numerical rank?no
    singular value gap4.61781e+10

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

    Boeing/pcrystk02 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.