Matrix: HB/bcsstk31

Description: STIFFNESS MATRIX FOR AUTOMOBILE COMPONENT (MSC NASTRAN) - PATTERN ONLY

HB/bcsstk31 graph
(undirected graph drawing)


HB/bcsstk31 dmperm of HB/bcsstk31

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 617 KB. Use UFget(53) or UFget('HB/bcsstk31') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 534 KB.

    Matrix properties
    number of rows35,588
    number of columns35,588
    nonzeros1,181,416
    structural full rank?yes
    structural rank35,588
    # of blocks from dmperm2
    # strongly connected comp.2
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorR. Cigel, R. Grimes, J. Lewis, E. Meyer
    editorI. Duff, R. Grimes, J. Lewis
    date1986
    kindstructural problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD5,568,754
    Cholesky flop count2.9e+09
    nnz(L+U), no partial pivoting, with AMD11,101,920
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD12,371,674
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD24,526,717

    SVD-based statistics:
    norm(A)57.9691
    min(svd(A))3.98742e-234
    cond(A)1.4538e+235
    rank(A)16,803
    sprank(A)-rank(A)18,785
    null space dimension18,785
    full numerical rank?no
    singular value gap2.84072e+08

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

    HB/bcsstk31 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.