Matrix: Mallya/lhr02

Description: Light hydrocarbon recovery. OK if illconditioned,from a nonlinear solvr

Mallya/lhr02 graph Mallya/lhr02 graph
(bipartite graph drawing) (graph drawing of A+A')


Mallya/lhr02 dmperm of Mallya/lhr02
scc of Mallya/lhr02

  • Home page of the UF Sparse Matrix Collection
  • 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
  • download as a MATLAB mat-file, file size: 285 KB. Use UFget(735) or UFget('Mallya/lhr02') in MATLAB.
  • download in Matrix Market format, file size: 276 KB.
  • download in Rutherford/Boeing format, file size: 225 KB.

    Matrix properties
    number of rows2,954
    number of columns2,954
    nonzeros36,875
    structural full rank?yes
    structural rank2,954
    # of blocks from dmperm596
    # strongly connected comp.42
    explicit zero entries331
    nonzero pattern symmetry 1%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Mallya
    editorT. Davis
    date1994
    kindchemical process simulation problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 2954-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD542,379
    Cholesky flop count2.2e+08
    nnz(L+U), no partial pivoting, with AMD1,081,804
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD68,457
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD154,847

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 331 explicit zero entries.

    SVD-based statistics:
    norm(A)5.97066
    min(svd(A))6.12571e-06
    cond(A)974689
    rank(A)2,954
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:ok

    Mallya/lhr02 svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.