Matrix: HB/bcsstk17

Description: SYMMETRIC STIFFNESS MATRIX - ELEVATED PRESSURE VESSEL

HB/bcsstk17 graph
(undirected graph drawing)


HB/bcsstk17 dmperm of HB/bcsstk17

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(39) or UFget('HB/bcsstk17') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    Matrix properties
    number of rows10,974
    number of columns10,974
    nonzeros428,650
    structural full rank?yes
    structural rank10,974
    # of blocks from dmperm519
    # strongly connected comp.519
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorM. Will
    editorI. Duff, R. Grimes, J. Lewis
    date1985
    kindstructural problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,043,601
    Cholesky flop count1.6e+08
    nnz(L+U), no partial pivoting, with AMD2,076,228
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,515,744
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,095,965

    SVD-based statistics:
    norm(A)1.29606e+10
    min(svd(A))0.999998
    cond(A)1.29606e+10
    rank(A)10,974
    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/bcsstk17 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.