Matrix: HB/bcsstk07

Description: SYMMETRIC STIFFNESS MATRIX, MEDIUM TEST PROBLEM, CONSISTENT MASSES

HB/bcsstk07 graph
(undirected graph drawing)

HB/bcsstk07

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 27 KB. Use UFget(29) or UFget('HB/bcsstk07') in MATLAB.
  • download in Matrix Market format, file size: 26 KB.
  • download in Rutherford/Boeing format, file size: 19 KB.

    Matrix properties
    number of rows420
    number of columns420
    nonzeros7,860
    structural full rank?yes
    structural rank420
    # of blocks from dmperm1
    # strongly connected comp.1
    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
    date1982
    kindduplicate structural problem
    2D/3D problem?yes

    Notes:

    duplicate of HB/bcsstk06

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD11,345
    Cholesky flop count4.0e+05
    nnz(L+U), no partial pivoting, with AMD22,270
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD14,222
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD26,279

    SVD-based statistics:
    norm(A)3.48695e+09
    min(svd(A))460.625
    cond(A)7.57005e+06
    rank(A)420
    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/bcsstk07 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.