Matrix: FIDAP/ex14

Description: TEST MATRIX FROM FIDAP: EX14.MAT

FIDAP/ex14 graph
(undirected graph drawing)


FIDAP/ex14

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  • Matrix group: FIDAP
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  • download as a MATLAB mat-file, file size: 402 KB. Use UFget(412) or UFget('FIDAP/ex14') in MATLAB.
  • download in Matrix Market format, file size: 364 KB.
  • download in Rutherford/Boeing format, file size: 323 KB.

    Matrix properties
    number of rows3,251
    number of columns3,251
    nonzeros65,875
    structural full rank?yes
    structural rank3,251
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries900
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    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 AMD108,468
    Cholesky flop count6.1e+06
    nnz(L+U), no partial pivoting, with AMD213,685
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD241,684
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD723,046

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 900 explicit zero entries.

    SVD-based statistics:
    norm(A)1.26662e+07
    min(svd(A))8.38202e-10
    cond(A)1.51112e+16
    rank(A)2,925
    sprank(A)-rank(A)326
    null space dimension326
    full numerical rank?no
    singular value gap1.01973

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

    FIDAP/ex14 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.