Rothberg/cfd2 graph

Matrix: Rothberg/cfd2

Description: CFD, symmetric pressure matrix, from Ed Rothberg, Silicon Graphics, Inc.


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  • Matrix group: Rothberg
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  • download as a MATLAB mat-file, file size: 23 MB. Use UFget(805) or UFget('Rothberg/cfd2') in MATLAB.
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    Rothberg/cfd2

    Matrix properties
    number of rows123,440
    number of columns123,440
    nonzeros3,085,406
    structural full rank?yes
    structural rank123,440
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries2,492
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorE. Rothberg
    editorT. Davis
    date1997
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))73,770,336 37,796,459
    Cholesky flop count1.3e+11 3.1e+10
    nnz(L+U), no partial pivoting147,417,232 75,469,478
    nnz(V) for QR, upper bound nnz(L) for LU131,852,166 65,559,895
    nnz(R) for QR, upper bound nnz(U) for LU239,137,717 124,218,660

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 2492 explicit zero entries.

    Maintained by Tim Davis, last updated 30-Sep-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.