Matrix: Oberwolfach/rail_1357

Description: Oberwolfach: heat transfer, steel profile cooling

Oberwolfach/rail_1357 graph
(undirected graph drawing)


Oberwolfach/rail_1357

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  • Matrix group: Oberwolfach
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  • download as a MATLAB mat-file, file size: 101 KB. Use UFget(1442) or UFget('Oberwolfach/rail_1357') in MATLAB.
  • download in Matrix Market format, file size: 94 KB.
  • download in Rutherford/Boeing format, file size: 88 KB.

    Matrix properties
    number of rows1,357
    number of columns1,357
    nonzeros8,985
    structural full rank?yes
    structural rank1,357
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorP. Benner, J. Saak
    editorE. Rudnyi
    date2002
    kindmodel reduction problem
    2D/3D problem?yes

    Additional fieldssize and type
    Esparse 1357-by-1357
    Bsparse 1357-by-7
    Csparse 6-by-1357

    Notes:

    Primary matrix in this model reduction problem is the Oberwolfach A matrix
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD11,629
    Cholesky flop count1.4e+05
    nnz(L+U), no partial pivoting, with AMD21,901
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD20,824
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD42,242

    SVD-based statistics:
    norm(A)4.80077e-05
    min(svd(A))3.611e-09
    cond(A)13294.8
    rank(A)1,357
    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

    Oberwolfach/rail_1357 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.