Matrix: FIDAP/ex19

Description: TEST MATRIX FROM FIDAP: EX19.MAT

FIDAP/ex19 graph
(undirected graph drawing)


FIDAP/ex19 dmperm of FIDAP/ex19

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  • Matrix group: FIDAP
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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(415) or UFget('FIDAP/ex19') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Matrix properties
    number of rows12,005
    number of columns12,005
    nonzeros259,577
    structural full rank?yes
    structural rank12,005
    # of blocks from dmperm607
    # strongly connected comp.607
    explicit zero entries302
    nonzero pattern symmetrysymmetric
    numeric value symmetry 43%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Baggag, Y. Saad
    editorA. Baggag, Y. Saad
    date1994
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD300,771
    Cholesky flop count1.1e+07
    nnz(L+U), no partial pivoting, with AMD589,537
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD395,455
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,100,667

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 302 explicit zero entries.

    SVD-based statistics:
    norm(A)5.11197e+07
    min(svd(A))2.37172e-05
    cond(A)2.15539e+12
    rank(A)11,966
    sprank(A)-rank(A)39
    null space dimension39
    full numerical rank?no
    singular value gap1.02238

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

    FIDAP/ex19 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.