Matrix: HB/mcca

Description: U NON-LTE PROBLEM ASTROPHYSICS.CODE:M.CARLSSON, ATOM=CA 2 ATMOS=VAL3C .

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

HB/mcca dmperm of HB/mcca

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 15 KB. Use UFget(212) or UFget('HB/mcca') in MATLAB.
  • download in Matrix Market format, file size: 21 KB.
  • download in Rutherford/Boeing format, file size: 18 KB.

    Matrix properties
    number of rows180
    number of columns180
    nonzeros2,659
    structural full rank?yes
    structural rank180
    # of blocks from dmperm6
    # strongly connected comp.6
    explicit zero entries0
    nonzero pattern symmetry 64%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorM. Carlsson
    editorI. Duff, R. Grimes, J. Lewis
    date1985
    kind2D/3D problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD2,001
    Cholesky flop count3.7e+04
    nnz(L+U), no partial pivoting, with AMD3,822
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD3,160
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD5,165

    SVD-based statistics:
    norm(A)2.04423e+19
    min(svd(A))104.632
    cond(A)1.95374e+17
    rank(A)143
    sprank(A)-rank(A)37
    null space dimension37
    full numerical rank?no
    singular value gap1.09622

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

    HB/mcca 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.