Matrix: Grund/meg1

Description: Unsymmetric Matrix meg1, 1MB RAM simulation, F. Grund, Oct 1990.

Grund/meg1 graph Grund/meg1 graph
(bipartite graph drawing) (graph drawing of A+A')


Grund/meg1 dmperm of Grund/meg1

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  • Matrix group: Grund
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  • download as a MATLAB mat-file, file size: 149 KB. Use UFget(465) or UFget('Grund/meg1') in MATLAB.
  • download in Matrix Market format, file size: 290 KB.
  • download in Rutherford/Boeing format, file size: 209 KB.

    Matrix properties
    number of rows2,904
    number of columns2,904
    nonzeros58,142
    structural full rank?yes
    structural rank2,904
    # of blocks from dmperm929
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorF. Grund
    editorF. Grund
    date1997
    kindcircuit simulation problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD772,337
    Cholesky flop count5.3e+08
    nnz(L+U), no partial pivoting, with AMD1,541,770
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD316,574
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD608,842

    SVD-based statistics:
    norm(A)2.09952e+06
    min(svd(A))1.51857e-06
    cond(A)1.38256e+12
    rank(A)2,904
    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

    Grund/meg1 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.