• 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/lhr34
  • Description: Light hydrocarbon recovery. OK if illconditioned,from a nonlinear solvr
  • download as a MATLAB mat-file, file size: 5 MB. Use SJget(427) or SJget('Mallya/lhr34') in MATLAB.
  • download in Matrix Market format, file size: 5 MB.
  • download in Rutherford/Boeing format, file size: 4 MB.

    Mallya/lhr34

    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 with opts.tol_eigs = 1e-008, used with Matlab 7.6.0.324 (R2008a) to calculate singular values 34364 to 34369 and associated error bounds.

    Mallya/lhr34

    dmperm of Mallya/lhr34

    scc of Mallya/lhr34

    Matrix properties (click for a legend)  
    number of rows35,152
    number of columns35,152
    structural full rank?yes
    structural rank35,152
    numerical rank 34,366
    dimension of the numerical null space786
    numerical rank / min(size(A))0.97764
    Euclidean norm of A 19.913
    calculated singular value # 343661.9697e-010
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.2488e-010
    calculated singular value # 343671.1899e-011
    gap in the singular values at the numerical rank:
    singular value # 34366 / singular value # 34367
    16.553
    calculated condition number-2
    condest2.3271e+042
    nonzeros746,972
    # of blocks from dmperm7,985
    # strongly connected comp.61
    entries not in dmperm blocks379,337
    explicit zero entries17,042
    nonzero pattern symmetry 0%
    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
    SJid427
    UFid748

    Additional fieldssize and type
    bfull 35152-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))72,406,448 44,452,954 952,218
    Cholesky flop count3.8e+011 1.2e+011 6.8e+007
    nnz(L+U), no partial pivoting144,777,744 88,870,756 2,248,621
    nnz(V) for QR, upper bound nnz(L) for LU1,523,434 1,816,259 650,530
    nnz(R) for QR, upper bound nnz(U) for LU3,411,710 4,179,020 1,773,033

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 17042 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.