Matrix: HB/bcsstk33

Description: STIFFNESS MATRIX FOR PIN BOSS (AUTO STEERING COMPONENT), SOLID ELEMENTS

HB/bcsstk33 graph
(undirected graph drawing)


HB/bcsstk33

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  • Matrix group: HB
  • Click here for a description of the HB group.
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  • download as a MATLAB mat-file, file size: 237 KB. Use UFget(55) or UFget('HB/bcsstk33') in MATLAB.
  • download in Matrix Market format, file size: 619 KB.
  • download in Rutherford/Boeing format, file size: 174 KB.

    Matrix properties
    number of rows8,738
    number of columns8,738
    nonzeros591,904
    structural full rank?yes
    structural rank8,738
    # 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. 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 AMD2,571,296
    Cholesky flop count1.2e+09
    nnz(L+U), no partial pivoting, with AMD5,133,854
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD2,710,720
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD7,110,874

    SVD-based statistics:
    norm(A)75.8273
    min(svd(A))5.12721e-64
    cond(A)1.47892e+65
    rank(A)3,979
    sprank(A)-rank(A)4,759
    null space dimension4,759
    full numerical rank?no
    singular value gap6.7765e+10

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

    HB/bcsstk33 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.