Matrix: FIDAP/ex40

Description: TEST MATRIX FROM FIDAP: EX40.MAT

FIDAP/ex40 graph
(undirected graph drawing)


FIDAP/ex40

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: FIDAP
  • Click here for a description of the FIDAP group.
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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(435) or UFget('FIDAP/ex40') in MATLAB.
  • download in Matrix Market format, file size: 4 MB.
  • download in Rutherford/Boeing format, file size: 3 MB.

    Matrix properties
    number of rows7,740
    number of columns7,740
    nonzeros456,188
    structural full rank?yes
    structural rank7,740
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries1,824
    nonzero pattern symmetrysymmetric
    numeric value symmetry 77%
    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 AMD1,612,967
    Cholesky flop count5.8e+08
    nnz(L+U), no partial pivoting, with AMD3,218,194
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,408,294
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,107,372

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1824 explicit zero entries.

    SVD-based statistics:
    norm(A)7.24983
    min(svd(A))2.6331e-06
    cond(A)2.75335e+06
    rank(A)7,740
    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/ex40 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.