• 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/lhr71
  • Description: Light hydrocarbon recovery. OK if illconditioned,from a nonlinear solvr
  • download as a MATLAB mat-file, file size: 11 MB. Use SJget(429) or SJget('Mallya/lhr71') in MATLAB.
  • download in Matrix Market format, file size: 10 MB.
  • download in Rutherford/Boeing format, file size: 8 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-010, used with Matlab (R2008a) to calculate singular values 68726 to 68731 and associated error bounds.


    dmperm of Mallya/lhr71

    scc of Mallya/lhr71

    Matrix properties (click for a legend)  
    number of rows70,304
    number of columns70,304
    structural full rank?yes
    structural rank70,304
    numerical rank 68,728
    dimension of the numerical null space1,576
    numerical rank / min(size(A))0.97758
    Euclidean norm of A 19.913
    calculated singular value # 687287.5687e-010
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 687292.0168e-010
    gap in the singular values at the numerical rank:
    singular value # 68728 / singular value # 68729
    calculated condition number-2
    # of blocks from dmperm15,970
    # strongly connected comp.121
    entries not in dmperm blocks758,736
    explicit zero entries34,086
    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

    Additional fieldssize and type
    bfull 70304-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))148,516,256 90,278,900 1,926,999
    Cholesky flop count8.0e+011 2.4e+011 1.4e+008
    nnz(L+U), no partial pivoting296,962,208 180,487,496 4,542,430
    nnz(V) for QR, upper bound nnz(L) for LU3,093,273 3,701,978 1,300,137
    nnz(R) for QR, upper bound nnz(U) for LU6,921,017 8,401,400 3,544,915

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 34086 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.