• 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/b_dyn
  • Description: Unsymmetric Matrix b_dyn, F. Grund, Dec 1994.
  • download as a MATLAB mat-file, file size: 39 KB. Use SJget(53) or SJget('Grund/b_dyn') in MATLAB.
  • download in Matrix Market format, file size: 31 KB.
  • download in Rutherford/Boeing format, file size: 27 KB.


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


    dmperm of Grund/b_dyn

    Matrix properties (click for a legend)  
    number of rows1,089
    number of columns1,089
    structural full rank?yes
    structural rank1,089
    numerical rank 1,028
    dimension of the numerical null space61
    numerical rank / min(size(A))0.94399
    Euclidean norm of A 29135
    calculated singular value # 10284.5765e-008
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 10293.2458e-009
    gap in the singular values at the numerical rank:
    singular value # 1028 / singular value # 1029
    calculated condition number2.5349e+014
    # of blocks from dmperm164
    # strongly connected comp.1
    entries not in dmperm blocks233
    explicit zero entries120
    nonzero pattern symmetry 1%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorF. Grund
    editorF. Grund
    kindchemical process simulation problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 1089-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))93,882 86,076 6,982
    Cholesky flop count2.1e+007 1.5e+007 6.2e+004
    nnz(L+U), no partial pivoting186,675 171,063 13,108
    nnz(V) for QR, upper bound nnz(L) for LU4,316 7,253 4,938
    nnz(R) for QR, upper bound nnz(U) for LU10,855 14,884 10,890

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 120 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.