Matrix: FIDAP/ex35

Description: TEST MATRIX FROM FIDAP: EX35.MAT

FIDAP/ex35 graph
(undirected graph drawing)


FIDAP/ex35 dmperm of FIDAP/ex35

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  • Matrix group: FIDAP
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  • download as a MATLAB mat-file, file size: 970 KB. Use UFget(431) or UFget('FIDAP/ex35') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    Matrix properties
    number of rows19,716
    number of columns19,716
    nonzeros227,872
    structural full rank?yes
    structural rank19,716
    # of blocks from dmperm342
    # strongly connected comp.342
    explicit zero entries336
    nonzero pattern symmetrysymmetric
    numeric value symmetry 46%
    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 AMD556,236
    Cholesky flop count2.5e+07
    nnz(L+U), no partial pivoting, with AMD1,092,756
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD698,951
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,353,299

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 336 explicit zero entries.

    SVD-based statistics:
    norm(A)3.50792e+07
    min(svd(A))1.59261e-05
    cond(A)2.20263e+12
    rank(A)19,673
    sprank(A)-rank(A)43
    null space dimension43
    full numerical rank?no
    singular value gap1.02837

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero
    status:ok

    FIDAP/ex35 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.