• 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/lhr04
  • Description: Light hydrocarbon recovery. OK if illconditioned,from a nonlinear solvr
  • download as a MATLAB mat-file, file size: 680 KB. Use SJget(138) or SJget('Mallya/lhr04') in MATLAB.
  • download in Matrix Market format, file size: 783 KB.
  • download in Rutherford/Boeing format, file size: 672 KB.

    Mallya/lhr04

    Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

    Mallya/lhr04

    dmperm of Mallya/lhr04

    scc of Mallya/lhr04

    Matrix properties (click for a legend)  
    number of rows4,101
    number of columns4,101
    structural full rank?yes
    structural rank4,101
    numerical rank 4,096
    dimension of the numerical null space5
    numerical rank / min(size(A))0.99878
    Euclidean norm of A 13.414
    calculated singular value # 40962.9519e-008
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    7.2848e-012
    calculated singular value # 40977.0418e-013
    gap in the singular values at the numerical rank:
    singular value # 4096 / singular value # 4097
    41920
    calculated condition number4.3476e+018
    condest1.8006e+024
    nonzeros81,057
    # of blocks from dmperm443
    # strongly connected comp.31
    entries not in dmperm blocks5,372
    explicit zero entries1,625
    nonzero pattern symmetry 2%
    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
    SJid138
    UFid736

    Additional fieldssize and type
    bfull 4101-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))1,867,599 1,332,798 208,456
    Cholesky flop count2.0e+009 8.0e+008 1.9e+007
    nnz(L+U), no partial pivoting3,731,097 2,661,495 418,183
    nnz(V) for QR, upper bound nnz(L) for LU135,543 190,778 133,276
    nnz(R) for QR, upper bound nnz(U) for LU333,874 413,463 284,996

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1625 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.