Matrix: POLYFLOW/invextr1_new

Description: POLYFLOW flat die (new version to avoid underflow)

POLYFLOW/invextr1_new graph POLYFLOW/invextr1_new graph
(bipartite graph drawing) (graph drawing of A+A')


POLYFLOW/invextr1_new

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  • Matrix group: POLYFLOW
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  • download as a MATLAB mat-file, file size: 15 MB. Use UFget(1642) or UFget('POLYFLOW/invextr1_new') in MATLAB.
  • download in Matrix Market format, file size: 21 MB.
  • download in Rutherford/Boeing format, file size: 18 MB.

    Matrix properties
    number of rows30,412
    number of columns30,412
    nonzeros1,793,881
    structural full rank?yes
    structural rank30,412
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 97%
    numeric value symmetry 72%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Marchal
    editorJ. Koster
    date2005
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 30412-by-1

    Notes:

    from Parasol, http://www.parallab.uib.no/projects/parasol/data
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD14,654,006
    Cholesky flop count1.7e+10
    nnz(L+U), no partial pivoting, with AMD29,277,600
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD28,409,578
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD55,548,781

    SVD-based statistics:
    norm(A)3.03295e+08
    min(svd(A))4.47254e-10
    cond(A)6.78126e+17
    rank(A)27,502
    sprank(A)-rank(A)2,910
    null space dimension2,910
    full numerical rank?no
    singular value gap1.05739

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

    POLYFLOW/invextr1_new 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.