• 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/lhr11
  • Description: Light hydrocarbon recovery. OK if illconditioned,from a nonlinear solvr
  • download as a MATLAB mat-file, file size: 2 MB. Use SJget(389) or SJget('Mallya/lhr11') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 2 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, used with Matlab (R2008a) to calculate singular values 10808 to 10813 and associated error bounds.


    dmperm of Mallya/lhr11

    scc of Mallya/lhr11

    Matrix properties (click for a legend)  
    number of rows10,964
    number of columns10,964
    structural full rank?yes
    structural rank10,964
    numerical rank 10,810
    dimension of the numerical null space154
    numerical rank / min(size(A))0.98595
    Euclidean norm of A 19.913
    calculated singular value # 108101.3715e-010
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 108112.7081e-011
    gap in the singular values at the numerical rank:
    singular value # 10810 / singular value # 10811
    calculated condition number-2
    # of blocks from dmperm1,200
    # strongly connected comp.31
    entries not in dmperm blocks14,924
    explicit zero entries1,935
    nonzero pattern symmetry 1%
    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 10964-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))12,384,800 9,610,518 541,932
    Cholesky flop count3.6e+010 1.7e+010 4.5e+007
    nnz(L+U), no partial pivoting24,758,636 19,210,072 1,087,824
    nnz(V) for QR, upper bound nnz(L) for LU411,929 571,059 323,454
    nnz(R) for QR, upper bound nnz(U) for LU964,310 1,210,638 730,746

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1935 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.