Matrix: HB/bcsstm13

Description: SYMMETRIC MASS MATRIX, FLUID FLOW GENERALIZED EIGENVALUES

HB/bcsstm13 graph
(undirected graph drawing)


HB/bcsstm13 dmperm of HB/bcsstm13
scc of HB/bcsstm13

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 65 KB. Use UFget(68) or UFget('HB/bcsstm13') in MATLAB.
  • download in Matrix Market format, file size: 66 KB.
  • download in Rutherford/Boeing format, file size: 49 KB.

    Matrix properties
    number of rows2,003
    number of columns2,003
    nonzeros21,181
    structural full rank?no
    structural rank1,241
    # of blocks from dmperm574
    # strongly connected comp.1,334
    explicit zero entries762
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Lewis
    editorI. Duff, R. Grimes, J. Lewis
    date1982
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD44,844
    Cholesky flop count4.2e+06
    nnz(L+U), no partial pivoting, with AMD87,685
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD50,629
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD99,266

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 762 explicit zero entries.

    SVD-based statistics:
    norm(A)257.927
    min(svd(A))0
    cond(A)Inf
    rank(A)1,241
    sprank(A)-rank(A)0
    null space dimension762
    full numerical rank?no
    singular value gap6.62076e+11

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

    HB/bcsstm13 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.