Matrix: Simon/raefsky2

Description: INCOMPRESSIBLE FLOW IN PRESSURE DRIVEN PIPE, T=25, A. RAEFSKY, CENTRIC

Simon/raefsky2 graph
(undirected graph drawing)


Simon/raefsky2

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  • Matrix group: Simon
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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(815) or UFget('Simon/raefsky2') in MATLAB.
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    Matrix properties
    number of rows3,242
    number of columns3,242
    nonzeros293,551
    structural full rank?yes
    structural rank3,242
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries725
    nonzero pattern symmetrysymmetric
    numeric value symmetry 10%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Raefsky
    editorH. Simon
    date1993
    kindsubsequent computational fluid dynamics problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 3242-by-1

    Notes:

    next: - first: Simon/raefsky1
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,123,931
    Cholesky flop count5.4e+08
    nnz(L+U), no partial pivoting, with AMD2,244,620
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,854,625
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,424,313

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 725 explicit zero entries.

    SVD-based statistics:
    norm(A)3.72481
    min(svd(A))0.000876027
    cond(A)4251.94
    rank(A)3,242
    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

    Simon/raefsky2 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.