• 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/ex23
  • Description: TEST MATRIX FROM FIDAP: EX23.MAT
  • download as a MATLAB mat-file, file size: 235 KB. Use SJget(355) or SJget('FIDAP/ex23') in MATLAB.
  • download in Matrix Market format, file size: 351 KB.
  • download in Rutherford/Boeing format, file size: 274 KB.

    FIDAP/ex23

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

    FIDAP/ex23

    Matrix properties (click for a legend)  
    number of rows1,409
    number of columns1,409
    structural full rank?yes
    structural rank1,409
    numerical rank 1,408
    dimension of the numerical null space1
    numerical rank / min(size(A))0.99929
    Euclidean norm of A 2.6725e+005
    calculated singular value # 14081.1024e-007
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    8.2015e-008
    calculated singular value # 14091.576e-008
    gap in the singular values at the numerical rank:
    singular value # 1408 / singular value # 1409
    6.9945
    calculated condition number1.6957e+013
    condest2.277e+013
    nonzeros42,760
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries943
    nonzero pattern symmetrysymmetric
    numeric value symmetry 94%
    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
    SJid355
    UFid420

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))39,444 43,246
    Cholesky flop count1.4e+006 1.8e+006
    nnz(L+U), no partial pivoting77,479 85,083
    nnz(V) for QR, upper bound nnz(L) for LU55,879 86,261
    nnz(R) for QR, upper bound nnz(U) for LU186,988 249,136

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 943 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.