• 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/lhr14
  • Description: Light hydrocarbon recovery. OK if illconditioned,from a nonlinear solvr
  • download as a MATLAB mat-file, file size: 2 MB. Use SJget(375) or SJget('Mallya/lhr14') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 3 MB.

    Mallya/lhr14

    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 7.6.0.324 (R2008a) to calculate the 6 largest singular values and associated error bounds.
    Routine spnrank, version 1.0, used with Matlab 7.6.0.324 (R2008a) to calculate singular values 13994 to 13999 and associated error bounds.

    Mallya/lhr14

    dmperm of Mallya/lhr14

    scc of Mallya/lhr14

    Matrix properties (click for a legend)  
    number of rows14,270
    number of columns14,270
    structural full rank?yes
    structural rank14,270
    numerical rank 13,996
    dimension of the numerical null space274
    numerical rank / min(size(A))0.9808
    Euclidean norm of A 19.913
    calculated singular value # 139961.3838e-010
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    5.0697e-011
    calculated singular value # 139972.8425e-011
    gap in the singular values at the numerical rank:
    singular value # 13996 / singular value # 13997
    4.8685
    calculated condition number-2
    condestInf
    nonzeros305,750
    # of blocks from dmperm1,564
    # strongly connected comp.31
    entries not in dmperm blocks19,612
    explicit zero entries2,108
    nonzero pattern symmetry 1%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Mallya
    editorT. Davis
    date1994
    kindchemical process simulation problem
    2D/3D problem?no
    SJid375
    UFid744

    Additional fieldssize and type
    bfull 14270-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))21,108,917 15,684,298 657,190
    Cholesky flop count8.5e+010 3.6e+010 5.1e+007
    nnz(L+U), no partial pivoting42,203,564 31,354,326 1,319,722
    nnz(V) for QR, upper bound nnz(L) for LU650,912 738,322 415,379
    nnz(R) for QR, upper bound nnz(U) for LU1,338,115 1,590,832 943,804

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 2108 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.