Matrix: HB/lns_511

Description: UNSYMMETRIC MATRIX FROM I.P.J. DEC 1982. LINEARIZED N-S. COMPRESSIBLE

HB/lns_511 graph HB/lns_511 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/lns_511 dmperm of HB/lns_511
scc of HB/lns_511

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 14 KB. Use UFget(190) or UFget('HB/lns_511') in MATLAB.
  • download in Matrix Market format, file size: 16 KB.
  • download in Rutherford/Boeing format, file size: 14 KB.

    Matrix properties
    number of rows511
    number of columns511
    nonzeros2,796
    structural full rank?yes
    structural rank511
    # of blocks from dmperm135
    # strongly connected comp.98
    explicit zero entries0
    nonzero pattern symmetry 80%
    numeric value symmetry 2%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorI. Jones
    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 AMD5,843
    Cholesky flop count1.4e+05
    nnz(L+U), no partial pivoting, with AMD11,175
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD9,771
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD20,208

    SVD-based statistics:
    norm(A)4.20552e+10
    min(svd(A))1.26321e-05
    cond(A)3.32924e+15
    rank(A)469
    sprank(A)-rank(A)42
    null space dimension42
    full numerical rank?no
    singular value gap1.15816

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

    HB/lns_511 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.