Matrix: FIDAP/ex12

Description: TEST MATRIX FROM FIDAP: EX12.MAT

FIDAP/ex12 graph
(undirected graph drawing)


FIDAP/ex12

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: FIDAP
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  • download as a MATLAB mat-file, file size: 396 KB. Use UFget(410) or UFget('FIDAP/ex12') in MATLAB.
  • download in Matrix Market format, file size: 334 KB.
  • download in Rutherford/Boeing format, file size: 283 KB.

    Matrix properties
    number of rows3,973
    number of columns3,973
    nonzeros79,077
    structural full rank?yes
    structural rank3,973
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries1,134
    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 AMD106,907
    Cholesky flop count3.9e+06
    nnz(L+U), no partial pivoting, with AMD209,841
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD224,006
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD727,154

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1134 explicit zero entries.

    SVD-based statistics:
    norm(A)128.461
    min(svd(A))2.07391e-16
    cond(A)6.19414e+17
    rank(A)3,972
    sprank(A)-rank(A)1
    null space dimension1
    full numerical rank?no
    singular value gap3.61209e+09

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

    FIDAP/ex12 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.