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

  • Matrix: Zitney/hydr1c
  • Description: Chemical process separation sequence, S. Zitney, Cray Research
  • download as a MATLAB mat-file, file size: 9 MB. Use SJget(330) or SJget('Zitney/hydr1c') in MATLAB.
  • download in Matrix Market format, file size: 13 MB.
  • download in Rutherford/Boeing format, file size: 12 MB.


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


    dmperm of Zitney/hydr1c

    Matrix properties (click for a legend)  
    number of rows5,308
    number of columns5,308
    structural full rank?yes
    structural rank5,308
    numerical rank 5,191
    dimension of the numerical null space117
    numerical rank / min(size(A))0.97796
    Euclidean norm of A 2.9922e+006
    calculated singular value # 51912.527e-006
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 51922.4397e-006
    gap in the singular values at the numerical rank:
    singular value # 5191 / singular value # 5192
    calculated condition number2.3528e+014
    # of blocks from dmperm1,096
    # strongly connected comp.1
    entries not in dmperm blocks1,750
    explicit zero entries1,160
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorS. Zitney
    editorS. Hadfield, T. Davis
    kindchemical process simulation problem sequence
    2D/3D problem?no

    Additional fieldssize and type
    Ssparse 5308-by-5308
    Acell 76-by-1
    Zeroscell 76-by-1


    aux.A{i}: ith matrix in sequence. aux.Zeros{i}: binary pattern of explicit
    zero entries provided in original data.  aux.S = union of all patterns.   

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))1,934,799 1,308,624 58,485
    Cholesky flop count2.1e+009 8.0e+008 1.3e+006
    nnz(L+U), no partial pivoting3,864,290 2,611,940 113,412
    nnz(V) for QR, upper bound nnz(L) for LU29,269 52,111 31,737
    nnz(R) for QR, upper bound nnz(U) for LU73,802 108,869 68,650

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1160 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.