Matrix: Cote/vibrobox

Description: Vibroacoustic problem (flexible box, structure only) Andre Cote

Cote/vibrobox graph
(undirected graph drawing)


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  • Matrix group: Cote
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(379) or UFget('Cote/vibrobox') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 925 KB.

    Matrix properties
    number of rows12,328
    number of columns12,328
    structural full rank?yes
    structural rank12,328
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries41,128
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?no

    authorA. Cote
    editorT. Davis
    kindacoustics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD2,156,718
    Cholesky flop count1.1e+09
    nnz(L+U), no partial pivoting, with AMD4,301,108
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD14,773,580
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD23,332,909

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 41128 explicit zero entries.

    SVD-based statistics:
    null space dimension6
    full numerical rank?no
    singular value gap1.81697e+06

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

    Cote/vibrobox 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.