• 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/ex14
  • Description: TEST MATRIX FROM FIDAP: EX14.MAT
  • download as a MATLAB mat-file, file size: 426 KB. Use SJget(119) or SJget('FIDAP/ex14') in MATLAB.
  • download in Matrix Market format, file size: 367 KB.
  • download in Rutherford/Boeing format, file size: 325 KB.

    FIDAP/ex14

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

    FIDAP/ex14

    Matrix properties (click for a legend)  
    number of rows3,251
    number of columns3,251
    structural full rank?yes
    structural rank3,251
    numerical rank 2,925
    dimension of the numerical null space326
    numerical rank / min(size(A))0.89972
    Euclidean norm of A 1.2666e+007
    calculated singular value # 29256.1747e-006
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    6.0555e-006
    calculated singular value # 29266.0552e-006
    gap in the singular values at the numerical rank:
    singular value # 2925 / singular value # 2926
    1.0197
    calculated condition number2.7933e+016
    condest2.6193e+016
    nonzeros65,875
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries900
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorA. Baggag, Y. Saad
    editorA. Baggag, Y. Saad
    date1994
    kindcomputational fluid dynamics problem
    2D/3D problem?yes
    SJid119
    UFid412

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))108,468 106,538
    Cholesky flop count6.1e+006 5.3e+006
    nnz(L+U), no partial pivoting213,685 209,825
    nnz(V) for QR, upper bound nnz(L) for LU241,684 245,896
    nnz(R) for QR, upper bound nnz(U) for LU723,046 713,605

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