• 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/lhr04c
  • Description: Light hydrocarbon recovery, corrected version of LHR04
  • download as a MATLAB mat-file, file size: 657 KB. Use SJget(349) or SJget('Mallya/lhr04c') in MATLAB.
  • download in Matrix Market format, file size: 763 KB.
  • download in Rutherford/Boeing format, file size: 815 KB.


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


    dmperm of Mallya/lhr04c

    scc of Mallya/lhr04c

    Matrix properties (click for a legend)  
    number of rows4,101
    number of columns4,101
    structural full rank?yes
    structural rank4,101
    numerical rank 4,100
    dimension of the numerical null space1
    numerical rank / min(size(A))0.99976
    Euclidean norm of A 13.415
    calculated singular value # 41007.4515e-010
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 41013.5266e-012
    gap in the singular values at the numerical rank:
    singular value # 4100 / singular value # 4101
    calculated condition number3.8039e+012
    # of blocks from dmperm439
    # strongly connected comp.31
    entries not in dmperm blocks5,319
    explicit zero entries0
    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

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))1,839,299 1,403,708 207,938
    Cholesky flop count2.0e+009 9.3e+008 1.8e+007
    nnz(L+U), no partial pivoting3,674,497 2,803,315 417,094
    nnz(V) for QR, upper bound nnz(L) for LU151,956 200,425 131,814
    nnz(R) for QR, upper bound nnz(U) for LU331,364 436,377 283,431

    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.