• SJSU Singular Matrix Database
  • Matrix group: FIDAP
  • Click here for a description of the FIDAP group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: FIDAP/ex18
  • Description: TEST MATRIX FROM FIDAP: EX18.MAT
  • download as a MATLAB mat-file, file size: 411 KB. Use SJget(352) or SJget('FIDAP/ex18') in MATLAB.
  • download in Matrix Market format, file size: 552 KB.
  • download in Rutherford/Boeing format, file size: 453 KB.

    FIDAP/ex18

    Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

    FIDAP/ex18

    dmperm of FIDAP/ex18

    Matrix properties (click for a legend)  
    number of rows5,773
    number of columns5,773
    structural full rank?yes
    structural rank5,773
    numerical rank 5,772
    dimension of the numerical null space1
    numerical rank / min(size(A))0.99983
    Euclidean norm of A 1.2921e+008
    calculated singular value # 57720.00011758
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    8.6024e-005
    calculated singular value # 57736.1975e-005
    gap in the singular values at the numerical rank:
    singular value # 5772 / singular value # 5773
    1.8973
    calculated condition number2.0849e+012
    condest8.7676e+012
    nonzeros71,701
    # of blocks from dmperm212
    # strongly connected comp.212
    entries not in dmperm blocks104
    explicit zero entries104
    nonzero pattern symmetrysymmetric
    numeric value symmetry 50%
    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
    SJid352
    UFid414

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))175,848 180,904 176,522
    Cholesky flop count9.3e+006 9.2e+006 9.3e+006
    nnz(L+U), no partial pivoting345,923 356,035 347,375
    nnz(V) for QR, upper bound nnz(L) for LU239,089 249,147 246,292
    nnz(R) for QR, upper bound nnz(U) for LU457,850 468,931 446,050

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 104 explicit zero entries.

    Maintained by Leslie Foster, last updated 24-Apr-2009.

    Entries 5 through 14 in the table of matrix properties and the singular
    value plot were created using SJsingular code. The other plots
    and statistics are produced using utilities from the SuiteSparse package.
    Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.