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


  • Matrix: Grund/bayer08
  • Description: Unsymmetric Matrix bayer08, Bayer AG, F. Grund, Oct 1995.
  • download as a MATLAB mat-file, file size: 83 KB. Use SJget(57) or SJget('Grund/bayer08') in MATLAB.
  • download in Matrix Market format, file size: 133 KB.
  • download in Rutherford/Boeing format, file size: 97 KB.

    Grund/bayer08

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

    Grund/bayer08

    dmperm of Grund/bayer08

    Matrix properties (click for a legend)  
    number of rows3,008
    number of columns3,008
    structural full rank?yes
    structural rank3,008
    numerical rank 2,563
    dimension of the numerical null space445
    numerical rank / min(size(A))0.85206
    Euclidean norm of A 8.4398e+009
    calculated singular value # 25630.0028694
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    0.0028687
    calculated singular value # 25640.0028684
    gap in the singular values at the numerical rank:
    singular value # 2563 / singular value # 2564
    1.0004
    calculated condition number1.0014e+028
    condest2.3686e+028
    nonzeros20,698
    # of blocks from dmperm1,273
    # strongly connected comp.1
    entries not in dmperm blocks2,063
    explicit zero entries6,878
    nonzero pattern symmetry 1%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorBayer
    editorF. Grund
    date1997
    kindchemical process simulation problem
    2D/3D problem?no
    SJid57
    UFid459

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))589,860 484,035 75,090
    Cholesky flop count3.5e+008 1.8e+008 6.9e+006
    nnz(L+U), no partial pivoting1,176,712 965,062 149,235
    nnz(V) for QR, upper bound nnz(L) for LU109,791 105,484 67,253
    nnz(R) for QR, upper bound nnz(U) for LU193,751 217,600 136,407

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 6878 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.