• 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/lhr14c
  • Description: Light hydrocarbon recovery, corrected version of LHR14
  • download as a MATLAB mat-file, file size: 2 MB. Use SJget(404) or SJget('Mallya/lhr14c') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 3 MB.

    Mallya/lhr14c

    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 14265 to 14270 and associated error bounds.

    Mallya/lhr14c

    dmperm of Mallya/lhr14c

    scc of Mallya/lhr14c

    Matrix properties (click for a legend)  
    number of rows14,270
    number of columns14,270
    structural full rank?yes
    structural rank14,270
    numerical rank 14,267
    dimension of the numerical null space3
    numerical rank / min(size(A))0.99979
    Euclidean norm of A 19.913
    calculated singular value # 142672.1267e-010
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    5.0697e-011
    calculated singular value # 142684.6553e-011
    gap in the singular values at the numerical rank:
    singular value # 14267 / singular value # 14268
    4.5684
    calculated condition number4.019e+014
    condest1.2762e+015
    nonzeros307,858
    # of blocks from dmperm1,556
    # strongly connected comp.31
    entries not in dmperm blocks19,599
    explicit zero entries0
    nonzero pattern symmetry 1%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Mallya
    editorT. Davis
    date1997
    kindchemical process simulation problem
    2D/3D problem?no
    SJid404
    UFid745

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))20,564,513 15,165,762 649,854
    Cholesky flop count8.0e+010 3.3e+010 4.8e+007
    nnz(L+U), no partial pivoting41,114,756 30,317,254 1,305,037
    nnz(V) for QR, upper bound nnz(L) for LU633,737 768,917 411,960
    nnz(R) for QR, upper bound nnz(U) for LU1,310,622 1,637,393 942,748

    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.