Matrix: HB/bcsstk21

Description: SYMMETRIC STIFFNESS MATRIX - CLAMPED SQUARE PLATE

HB/bcsstk21 graph
(undirected graph drawing)


HB/bcsstk21 dmperm of HB/bcsstk21

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 43 KB. Use UFget(43) or UFget('HB/bcsstk21') in MATLAB.
  • download in Matrix Market format, file size: 66 KB.
  • download in Rutherford/Boeing format, file size: 33 KB.

    Matrix properties
    number of rows3,600
    number of columns3,600
    nonzeros26,600
    structural full rank?yes
    structural rank3,600
    # of blocks from dmperm2
    # strongly connected comp.2
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorJ. Lewis
    editorI. Duff, R. Grimes, J. Lewis
    date1984
    kindstructural problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD90,684
    Cholesky flop count4.2e+06
    nnz(L+U), no partial pivoting, with AMD177,768
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD159,993
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD295,488

    SVD-based statistics:
    norm(A)1.27314e+08
    min(svd(A))7.21415
    cond(A)1.76478e+07
    rank(A)3,600
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    HB/bcsstk21 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.