• 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/lhr07
  • Description: Light hydrocarbon recovery. OK if illconditioned,from a nonlinear solvr
  • download as a MATLAB mat-file, file size: 1 MB. Use SJget(368) or SJget('Mallya/lhr07') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.


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


    dmperm of Mallya/lhr07

    scc of Mallya/lhr07

    Matrix properties (click for a legend)  
    number of rows7,337
    number of columns7,337
    structural full rank?yes
    structural rank7,337
    numerical rank 7,315
    dimension of the numerical null space22
    numerical rank / min(size(A))0.997
    Euclidean norm of A 18.315
    calculated singular value # 73154.8628e-009
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 73167.0427e-013
    gap in the singular values at the numerical rank:
    singular value # 7315 / singular value # 7316
    calculated condition number4.4054e+021
    # of blocks from dmperm676
    # strongly connected comp.31
    entries not in dmperm blocks9,688
    explicit zero entries1,848
    nonzero pattern symmetry 2%
    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 7337-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))5,655,624 3,938,362 361,336
    Cholesky flop count1.1e+010 4.3e+009 2.9e+007
    nnz(L+U), no partial pivoting11,303,911 7,869,387 725,023
    nnz(V) for QR, upper bound nnz(L) for LU260,245 360,844 230,346
    nnz(R) for QR, upper bound nnz(U) for LU618,397 778,393 508,798

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1848 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.