Matrix: FIDAP/ex18

Description: TEST MATRIX FROM FIDAP: EX18.MAT

FIDAP/ex18 graph
(undirected graph drawing)


FIDAP/ex18 dmperm of FIDAP/ex18

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  • Matrix group: FIDAP
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  • download as a MATLAB mat-file, file size: 370 KB. Use UFget(414) or UFget('FIDAP/ex18') in MATLAB.
  • download in Matrix Market format, file size: 545 KB.
  • download in Rutherford/Boeing format, file size: 449 KB.

    Matrix properties
    number of rows5,773
    number of columns5,773
    nonzeros71,701
    structural full rank?yes
    structural rank5,773
    # of blocks from dmperm212
    # strongly connected comp.212
    explicit zero entries104
    nonzero pattern symmetrysymmetric
    numeric value symmetry 50%
    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 AMD175,848
    Cholesky flop count9.3e+06
    nnz(L+U), no partial pivoting, with AMD345,923
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD239,089
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD457,850

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 104 explicit zero entries.

    SVD-based statistics:
    norm(A)1.29212e+08
    min(svd(A))6.19751e-05
    cond(A)2.0849e+12
    rank(A)5,772
    sprank(A)-rank(A)1
    null space dimension1
    full numerical rank?no
    singular value gap1.89725

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

    FIDAP/ex18 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.