• SJSU Singular Matrix Database
  • Matrix group: HB
  • Click here for a description of the HB group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: HB/fs_760_3
  • Description: UNSYMMETRIC FACSIMILE CONVERGENCE MATRIX
  • download as a MATLAB mat-file, file size: 53 KB. Use SJget(129) or SJget('HB/fs_760_3') in MATLAB.
  • download in Matrix Market format, file size: 54 KB.
  • download in Rutherford/Boeing format, file size: 51 KB.

    HB/fs_760_3

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

    HB/fs_760_3

    dmperm of HB/fs_760_3

    Matrix properties (click for a legend)  
    number of rows760
    number of columns760
    structural full rank?yes
    structural rank760
    numerical rank 381
    dimension of the numerical null space379
    numerical rank / min(size(A))0.50132
    Euclidean norm of A 3.0979e+008
    calculated singular value # 3814.7501e-005
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    4.53e-005
    calculated singular value # 3824.1316e-005
    gap in the singular values at the numerical rank:
    singular value # 381 / singular value # 382
    1.1497
    calculated condition number9.9302e+019
    condest9.9277e+019
    nonzeros5,816
    # of blocks from dmperm17
    # strongly connected comp.17
    entries not in dmperm blocks38
    explicit zero entries160
    nonzero pattern symmetry 65%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Curtis
    editorI. Duff, R. Grimes, J. Lewis
    date1983
    kindsubsequent 2D/3D problem
    2D/3D problem?yes
    SJid129
    UFid154

    Notes:

    next: - first: HB/fs_760_1
    

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))14,455 18,504 13,680
    Cholesky flop count3.9e+005 7.3e+005 3.5e+005
    nnz(L+U), no partial pivoting28,150 36,248 26,638
    nnz(V) for QR, upper bound nnz(L) for LU18,178 25,717 15,991
    nnz(R) for QR, upper bound nnz(U) for LU34,184 47,068 30,636

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 160 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.