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

  • Matrix: Mallya/lhr34c
  • Description: Light hydrocarbon recovery, corrected version of LHR34
  • download as a MATLAB mat-file, file size: 5 MB. Use SJget(439) or SJget('Mallya/lhr34c') in MATLAB.
  • download in Matrix Market format, file size: 5 MB.
  • download in Rutherford/Boeing format, file size: 5 MB.


    A singular value of A is guaranteed1 to be in the interval pictured by the blue bars around each of the calculated singular values.

    Routine svds_err, version 1.0, used with Matlab (R2008a) to calculate the 6 largest singular values and associated error bounds.
    Routine spnrank, version 1.0 with opts.tol_eigs = 1e-008, used with Matlab (R2008a) to calculate singular values 35141 to 35146 and associated error bounds.


    dmperm of Mallya/lhr34c

    scc of Mallya/lhr34c

    Matrix properties (click for a legend)  
    number of rows35,152
    number of columns35,152
    structural full rank?yes
    structural rank35,152
    numerical rank 35,143
    dimension of the numerical null space9
    numerical rank / min(size(A))0.99974
    Euclidean norm of A 19.913
    calculated singular value # 351431.5439e-010
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 351442.8066e-011
    gap in the singular values at the numerical rank:
    singular value # 35143 / singular value # 35144
    calculated condition number-2
    # of blocks from dmperm3,533
    # strongly connected comp.61
    entries not in dmperm blocks47,924
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorJ. Mallya
    editorT. Davis
    kindchemical process simulation problem
    2D/3D problem?no

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))70,123,656 48,550,637 1,680,079
    Cholesky flop count3.6e+011 1.4e+011 1.3e+008
    nnz(L+U), no partial pivoting140,212,160 97,066,122 3,372,930
    nnz(V) for QR, upper bound nnz(L) for LU1,660,979 2,006,425 1,111,597
    nnz(R) for QR, upper bound nnz(U) for LU3,379,045 4,190,446 2,485,784

    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.