• 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/lhr07c
  • Description: Light hydrocarbon recovery, corrected version of LHR07
  • download as a MATLAB mat-file, file size: 1 MB. Use SJget(367) or SJget('Mallya/lhr07c') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    Mallya/lhr07c

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

    Mallya/lhr07c

    dmperm of Mallya/lhr07c

    scc of Mallya/lhr07c

    Matrix properties (click for a legend)  
    number of rows7,337
    number of columns7,337
    structural full rank?yes
    structural rank7,337
    numerical rank 7,336
    dimension of the numerical null space1
    numerical rank / min(size(A))0.99986
    Euclidean norm of A 18.315
    calculated singular value # 73363.9258e-009
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    2.6066e-011
    calculated singular value # 73377.6531e-013
    gap in the singular values at the numerical rank:
    singular value # 7336 / singular value # 7337
    5129.7
    calculated condition number2.3931e+013
    condest7.6366e+013
    nonzeros156,508
    # of blocks from dmperm672
    # strongly connected comp.31
    entries not in dmperm blocks9,639
    explicit zero entries0
    nonzero pattern symmetry 2%
    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
    SJid367
    UFid739

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))5,667,528 4,218,773 367,169
    Cholesky flop count1.1e+010 4.9e+009 2.9e+007
    nnz(L+U), no partial pivoting11,327,719 8,430,209 736,640
    nnz(V) for QR, upper bound nnz(L) for LU269,468 359,058 225,785
    nnz(R) for QR, upper bound nnz(U) for LU603,211 780,694 507,057

    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.