• 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/ex26
  • Description: TEST MATRIX FROM FIDAP: EX26.MAT
  • download as a MATLAB mat-file, file size: 439 KB. Use SJget(120) or SJget('FIDAP/ex26') in MATLAB.
  • download in Matrix Market format, file size: 702 KB.
  • download in Rutherford/Boeing format, file size: 556 KB.

    FIDAP/ex26

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

    FIDAP/ex26

    dmperm of FIDAP/ex26

    scc of FIDAP/ex26

    Matrix properties (click for a legend)  
    number of rows2,163
    number of columns2,163
    structural full rank?yes
    structural rank2,163
    numerical rank 2,162
    dimension of the numerical null space1
    numerical rank / min(size(A))0.99954
    Euclidean norm of A 81.565
    calculated singular value # 21625.4135e-005
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    3.0738e-011
    calculated singular value # 21634.5775e-016
    gap in the singular values at the numerical rank:
    singular value # 2162 / singular value # 2163
    1.1826e+011
    calculated condition number1.7819e+017
    condest8.6117e+017
    nonzeros74,464
    # of blocks from dmperm2
    # strongly connected comp.2
    entries not in dmperm blocks19,097
    explicit zero entries19,569
    nonzero pattern symmetrysymmetric
    numeric value symmetry 73%
    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
    SJid120
    UFid423

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))104,853 109,263 95,325
    Cholesky flop count7.5e+006 7.9e+006 5.4e+006
    nnz(L+U), no partial pivoting207,543 216,363 207,584
    nnz(V) for QR, upper bound nnz(L) for LU278,224 216,312 97,960
    nnz(R) for QR, upper bound nnz(U) for LU787,860 579,584 308,658

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 19569 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.