• SJSU Singular Matrix Database
  • Matrix group: HB
  • Click here for a description of the HB group.
  • Click here for a list of all matrices
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  • Matrix: HB/fs_760_2
  • Description: UNSYMMETRIC FACSIMILE CONVERGENCE MATRIX
  • download as a MATLAB mat-file, file size: 53 KB. Use SJget(128) or SJget('HB/fs_760_2') in MATLAB.
  • download in Matrix Market format, file size: 54 KB.
  • download in Rutherford/Boeing format, file size: 51 KB.

    HB/fs_760_2

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

    HB/fs_760_2

    dmperm of HB/fs_760_2

    Matrix properties (click for a legend)  
    number of rows760
    number of columns760
    structural full rank?yes
    structural rank760
    numerical rank 411
    dimension of the numerical null space349
    numerical rank / min(size(A))0.54079
    Euclidean norm of A 3.0979e+008
    calculated singular value # 4114.5397e-005
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    4.53e-005
    calculated singular value # 4124.5014e-005
    gap in the singular values at the numerical rank:
    singular value # 411 / singular value # 412
    1.0085
    calculated condition number1.4993e+016
    condest1.1234e+016
    nonzeros5,739
    # of blocks from dmperm17
    # strongly connected comp.17
    entries not in dmperm blocks38
    explicit zero entries237
    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
    SJid128
    UFid153

    Notes:

    next: HB/fs_760_3 first: HB/fs_760_1
    

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))14,263 17,723 13,667
    Cholesky flop count3.8e+005 6.7e+005 3.5e+005
    nnz(L+U), no partial pivoting27,766 34,686 26,612
    nnz(V) for QR, upper bound nnz(L) for LU19,199 24,649 16,269
    nnz(R) for QR, upper bound nnz(U) for LU35,804 44,484 31,286

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 237 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.