Matrix: Oberwolfach/chipcool0

Description: Oberwolfach: convective thermal flow

Oberwolfach/chipcool0 graph
(undirected graph drawing)


Oberwolfach/chipcool0

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  • Matrix group: Oberwolfach
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  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(1428) or UFget('Oberwolfach/chipcool0') in MATLAB.
  • download in Matrix Market format, file size: 4 MB.
  • download in Rutherford/Boeing format, file size: 3 MB.

    Matrix properties
    number of rows20,082
    number of columns20,082
    nonzeros281,150
    structural full rank?yes
    structural rank20,082
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 87%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorC. Moosmann, A. Griener
    editorE. Rudnyi
    date2004
    kindmodel reduction problem
    2D/3D problem?yes

    Additional fieldssize and type
    Esparse 20082-by-20082
    Bsparse 20082-by-1
    Csparse 5-by-20082
    cnamefull 5-by-6

    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 AMD6,111,848
    Cholesky flop count5.0e+09
    nnz(L+U), no partial pivoting, with AMD12,203,614
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD8,897,575
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD16,070,062

    SVD-based statistics:
    norm(A)0.314457
    min(svd(A))3.77461e-08
    cond(A)8.33085e+06
    rank(A)20,082
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero
    status:ok

    Oberwolfach/chipcool0 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.