• 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/lhr10c
  • Description: Light hydrocarbon recovery, corrected version of LHR10
  • download as a MATLAB mat-file, file size: 2 MB. Use SJget(385) or SJget('Mallya/lhr10c') 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 10668 to 10672 and associated error bounds.


    dmperm of Mallya/lhr10c

    scc of Mallya/lhr10c

    Matrix properties (click for a legend)  
    number of rows10,672
    number of columns10,672
    structural full rank?yes
    structural rank10,672
    numerical rank 10,670
    dimension of the numerical null space2
    numerical rank / min(size(A))0.99981
    Euclidean norm of A 18.907
    calculated singular value # 106701.0794e-009
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 106711.9623e-011
    gap in the singular values at the numerical rank:
    singular value # 10670 / singular value # 10671
    calculated condition number7.3912e+013
    # of blocks from dmperm908
    # strongly connected comp.31
    entries not in dmperm blocks13,967
    explicit zero entries0
    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

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))11,914,369 9,480,630 544,881
    Cholesky flop count3.5e+010 1.7e+010 4.2e+007
    nnz(L+U), no partial pivoting23,818,066 18,950,588 1,093,057
    nnz(V) for QR, upper bound nnz(L) for LU370,538 552,660 320,965
    nnz(R) for QR, upper bound nnz(U) for LU847,036 1,170,890 733,461

    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.