Rothberg/cfd1 graph

Matrix: Rothberg/cfd1

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: 14 MB. Use UFget(804) or UFget('Rothberg/cfd1') in MATLAB.
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    Rothberg/cfd1

    Matrix properties
    number of rows70,656
    number of columns70,656
    nonzeros1,825,580
    structural full rank?yes
    structural rank70,656
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries2,784
    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'))35,877,440 19,831,820
    Cholesky flop count4.1e+10 1.2e+10
    nnz(L+U), no partial pivoting71,684,224 39,592,984
    nnz(V) for QR, upper bound nnz(L) for LU57,045,725 33,992,507
    nnz(R) for QR, upper bound nnz(U) for LU103,569,465 65,218,867

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 2784 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.