Matrix: Botonakis/thermomech_dM

Description: FEM problem, temperature and deformation of a steel cylinder

Botonakis/thermomech_dM graph
(undirected graph drawing)

Botonakis/thermomech_dM dmperm of Botonakis/thermomech_dM

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  • download as a MATLAB mat-file, file size: 9 MB. Use UFget(2259) or UFget('Botonakis/thermomech_dM') in MATLAB.
  • download in Matrix Market format, file size: 8 MB.
  • download in Rutherford/Boeing format, file size: 7 MB.

    Matrix properties
    number of rows204,316
    number of columns204,316
    nonzeros1,423,116
    structural full rank?yes
    structural rank204,316
    # of blocks from dmperm2
    # strongly connected comp.2
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorI. Botonakis
    editorT. Davis
    date2009
    kindthermal problem
    2D/3D problem?yes

    Notes:

    TC and TK are for temperature, dM and dK for deformation

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD7,362,678
    Cholesky flop count9.6e+08
    nnz(L+U), no partial pivoting, with AMD14,521,040
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD13,318,242
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD24,834,506

    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.