Matrix: HB/nnc666

Description: U NATIONAL NUCLEAR CORP. FISSION REACTOR SIESMIC STUDIES

HB/nnc666 graph HB/nnc666 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/nnc666 dmperm of HB/nnc666

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 7 KB. Use UFget(216) or UFget('HB/nnc666') in MATLAB.
  • download in Matrix Market format, file size: 15 KB.
  • download in Rutherford/Boeing format, file size: 9 KB.

    Matrix properties
    number of rows666
    number of columns666
    nonzeros4,032
    structural full rank?yes
    structural rank666
    # of blocks from dmperm41
    # strongly connected comp.1
    explicit zero entries12
    nonzero pattern symmetry 82%
    numeric value symmetry 59%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorNational Nuclear Corp.
    editorI. Duff, R. Grimes, J. Lewis
    date1982
    kind2D/3D problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD5,786
    Cholesky flop count6.7e+04
    nnz(L+U), no partial pivoting, with AMD10,906
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD12,485
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD26,064

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 12 explicit zero entries.

    SVD-based statistics:
    norm(A)1086.07
    min(svd(A))5.31325e-08
    cond(A)2.04409e+10
    rank(A)666
    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/nnc666 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.