Matrix: FIDAP/ex31

Description: TEST MATRIX FROM FIDAP: EX31.MAT

FIDAP/ex31 graph
(undirected graph drawing)


FIDAP/ex31 dmperm of FIDAP/ex31
scc of FIDAP/ex31

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  • Matrix group: FIDAP
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  • download as a MATLAB mat-file, file size: 597 KB. Use UFget(428) or UFget('FIDAP/ex31') in MATLAB.
  • download in Matrix Market format, file size: 926 KB.
  • download in Rutherford/Boeing format, file size: 757 KB.

    Matrix properties
    number of rows3,909
    number of columns3,909
    nonzeros91,223
    structural full rank?yes
    structural rank3,909
    # of blocks from dmperm2
    # strongly connected comp.2
    explicit zero entries24,134
    nonzero pattern symmetrysymmetric
    numeric value symmetry 73%
    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 AMD127,797
    Cholesky flop count5.7e+06
    nnz(L+U), no partial pivoting, with AMD251,685
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD320,164
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD969,014

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 24134 explicit zero entries.

    SVD-based statistics:
    norm(A)22.7673
    min(svd(A))7.93678e-05
    cond(A)286858
    rank(A)3,909
    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

    FIDAP/ex31 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.