Matrix: FIDAP/ex21

Description: TEST MATRIX FROM FIDAP: EX21.MAT

FIDAP/ex21 graph
(undirected graph drawing)


FIDAP/ex21

  • 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: 135 KB. Use UFget(418) or UFget('FIDAP/ex21') in MATLAB.
  • download in Matrix Market format, file size: 197 KB.
  • download in Rutherford/Boeing format, file size: 150 KB.

    Matrix properties
    number of rows656
    number of columns656
    nonzeros18,964
    structural full rank?yes
    structural rank656
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries180
    nonzero pattern symmetrysymmetric
    numeric value symmetry 94%
    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 AMD14,965
    Cholesky flop count4.0e+05
    nnz(L+U), no partial pivoting, with AMD29,274
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD28,262
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD78,247

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 180 explicit zero entries.

    SVD-based statistics:
    norm(A)0.514527
    min(svd(A))8.92736e-10
    cond(A)5.76349e+08
    rank(A)656
    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/ex21 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.