Matrix: Brunetiere/thermal

Description: FEM, thermal problem

Brunetiere/thermal graph
(undirected graph drawing)


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  • Matrix group: Brunetiere
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  • download as a MATLAB mat-file, file size: 540 KB. Use UFget(377) or UFget('Brunetiere/thermal') in MATLAB.
  • download in Matrix Market format, file size: 776 KB.
  • download in Rutherford/Boeing format, file size: 693 KB.

    Matrix properties
    number of rows3,456
    number of columns3,456
    structural full rank?yes
    structural rank3,456
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 7%
    Cholesky candidate?no
    positive definite?no

    authorN. Brunetiere
    editorT. Davis
    kindthermal problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD148,707
    Cholesky flop count8.7e+06
    nnz(L+U), no partial pivoting, with AMD293,958
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD336,881
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD621,837

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

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

    Brunetiere/thermal 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.