• 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/ex9
  • Description: TEST MATRIX FROM FIDAP: EX9.MAT
  • download as a MATLAB mat-file, file size: 603 KB. Use SJget(344) or SJget('FIDAP/ex9') in MATLAB.
  • download in Matrix Market format, file size: 501 KB.
  • download in Rutherford/Boeing format, file size: 429 KB.

    FIDAP/ex9

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

    FIDAP/ex9

    Matrix properties (click for a legend)  
    number of rows3,363
    number of columns3,363
    structural full rank?yes
    structural rank3,363
    numerical rank 3,344
    dimension of the numerical null space19
    numerical rank / min(size(A))0.99435
    Euclidean norm of A 3.787e+009
    calculated singular value # 33440.0016576
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    0.0016036
    calculated singular value # 33450.0012208
    gap in the singular values at the numerical rank:
    singular value # 3344 / singular value # 3345
    1.3579
    calculated condition number1.1695e+013
    condest4.0811e+013
    nonzeros99,471
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorA. Baggag, Y. Saad
    editorA. Baggag, Y. Saad
    date1994
    kindcomputational fluid dynamics problem
    2D/3D problem?yes
    SJid344
    UFid440

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))126,407 139,458
    Cholesky flop count6.4e+006 8.0e+006
    nnz(L+U), no partial pivoting249,451 275,553
    nnz(V) for QR, upper bound nnz(L) for LU313,241 240,627
    nnz(R) for QR, upper bound nnz(U) for LU861,697 613,885

    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.