• 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/ex13
  • Description: TEST MATRIX FROM FIDAP: EX13.MAT
  • download as a MATLAB mat-file, file size: 533 KB. Use SJget(118) or SJget('FIDAP/ex13') in MATLAB.
  • download in Matrix Market format, file size: 460 KB.
  • download in Rutherford/Boeing format, file size: 386 KB.

    FIDAP/ex13

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

    FIDAP/ex13

    Matrix properties (click for a legend)  
    number of rows2,568
    number of columns2,568
    structural full rank?yes
    structural rank2,568
    numerical rank 1,434
    dimension of the numerical null space1,134
    numerical rank / min(size(A))0.55841
    Euclidean norm of A 1.2584e+010
    calculated singular value # 14340.0049043
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    0.0048981
    calculated singular value # 14350.0048848
    gap in the singular values at the numerical rank:
    singular value # 1434 / singular value # 1435
    1.004
    calculated condition number1.1899e+015
    condest4.0096e+015
    nonzeros75,628
    # 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
    SJid118
    UFid411

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))81,264 99,964
    Cholesky flop count3.1e+006 5.3e+006
    nnz(L+U), no partial pivoting159,960 197,360
    nnz(V) for QR, upper bound nnz(L) for LU158,890 155,116
    nnz(R) for QR, upper bound nnz(U) for LU444,278 393,460

    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.