Matrix: Averous/epb1

Description: Plate-fin heat exchanger (simple case) (DAE) David.Averous@ensigct.fr

Averous/epb1 graph Averous/epb1 graph
(bipartite graph drawing) (graph drawing of A+A')

Averous/epb1

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  • Matrix group: Averous
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  • download as a MATLAB mat-file, file size: 680 KB. Use UFget(288) or UFget('Averous/epb1') in MATLAB.
  • download in Matrix Market format, file size: 935 KB.
  • download in Rutherford/Boeing format, file size: 889 KB.

    Matrix properties
    number of rows14,734
    number of columns14,734
    nonzeros95,053
    structural full rank?yes
    structural rank14,734
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 73%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorD. Averous
    editorT. Davis
    date1998
    kindthermal problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD483,196
    Cholesky flop count3.9e+07
    nnz(L+U), no partial pivoting, with AMD951,658
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD622,807
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,190,006

    SVD-based statistics:
    norm(A)0.208272
    min(svd(A))3.50587e-05
    cond(A)5940.66
    rank(A)14,734
    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

    Averous/epb1 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.