• 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/ex12
  • Description: TEST MATRIX FROM FIDAP: EX12.MAT
  • download as a MATLAB mat-file, file size: 424 KB. Use SJget(117) or SJget('FIDAP/ex12') in MATLAB.
  • download in Matrix Market format, file size: 336 KB.
  • download in Rutherford/Boeing format, file size: 287 KB.

    FIDAP/ex12

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

    FIDAP/ex12

    Matrix properties (click for a legend)  
    number of rows3,973
    number of columns3,973
    structural full rank?yes
    structural rank3,973
    numerical rank 3,972
    dimension of the numerical null space1
    numerical rank / min(size(A))0.99975
    Euclidean norm of A 128.46
    calculated singular value # 39727.4912e-007
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.1292e-010
    calculated singular value # 39732.6563e-015
    gap in the singular values at the numerical rank:
    singular value # 3972 / singular value # 3973
    2.8202e+008
    calculated condition number4.8361e+016
    condest1.8519e+020
    nonzeros79,077
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries1,134
    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
    SJid117
    UFid410

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))106,907 122,955
    Cholesky flop count3.9e+006 5.6e+006
    nnz(L+U), no partial pivoting209,841 241,937
    nnz(V) for QR, upper bound nnz(L) for LU224,006 271,676
    nnz(R) for QR, upper bound nnz(U) for LU727,154 786,987

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1134 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.