Matrix: Rothberg/cfd2

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

Rothberg/cfd2 graph
(undirected graph drawing)


Rothberg/cfd2

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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.
  • download in Matrix Market format, file size: 15 MB.
  • download in Rutherford/Boeing format, file size: 13 MB.

    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
    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:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD73,770,336
    Cholesky flop count1.3e+11
    nnz(L+U), no partial pivoting, with AMD147,417,232
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD131,852,166
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD239,137,717

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

    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.