• 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/hydr1
  • Description: Chemical process separation, Steve Zitney, Cray Research
  • download as a MATLAB mat-file, file size: 156 KB. Use SJget(329) or SJget('Zitney/hydr1') in MATLAB.
  • download in Matrix Market format, file size: 166 KB.
  • download in Rutherford/Boeing format, file size: 157 KB.

    Zitney/hydr1

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

    Zitney/hydr1

    dmperm of Zitney/hydr1

    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)) =
    2.4717e-006
    calculated singular value # 51922.4397e-006
    gap in the singular values at the numerical rank:
    singular value # 5191 / singular value # 5192
    1.0358
    calculated condition number2.3528e+014
    condest1.659e+014
    nonzeros22,680
    # of blocks from dmperm1,076
    # strongly connected comp.1
    entries not in dmperm blocks1,710
    explicit zero entries1,072
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorS. Zitney
    editorT. Davis
    date1997
    kindchemical process simulation problem
    2D/3D problem?no
    SJid329
    UFid837

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))2,032,542 1,333,923 57,770
    Cholesky flop count2.4e+009 8.0e+008 1.3e+006
    nnz(L+U), no partial pivoting4,059,776 2,662,538 111,942
    nnz(V) for QR, upper bound nnz(L) for LU29,368 52,118 32,991
    nnz(R) for QR, upper bound nnz(U) for LU73,961 109,896 69,506

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1072 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.