Matrix: HB/bcsstk25

Description: SYMMETRIC STIFFNESS MATRIX - 76 STORY SKYSCRAPER

HB/bcsstk25 graph
(undirected graph drawing)


HB/bcsstk25 dmperm of HB/bcsstk25

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(47) or UFget('HB/bcsstk25') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 883 KB.

    Matrix properties
    number of rows15,439
    number of columns15,439
    nonzeros252,241
    structural full rank?yes
    structural rank15,439
    # of blocks from dmperm13
    # strongly connected comp.13
    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 AMD1,431,668
    Cholesky flop count2.9e+08
    nnz(L+U), no partial pivoting, with AMD2,847,897
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD2,706,628
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD5,231,397

    SVD-based statistics:
    norm(A)1.06002e+15
    min(svd(A))240.157
    cond(A)4.41386e+12
    rank(A)15,435
    sprank(A)-rank(A)4
    null space dimension4
    full numerical rank?no
    singular value gap1.53414

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

    HB/bcsstk25 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.