Matrix: Rothberg/3dtube

Description: 3-D pressure tube

Rothberg/3dtube graph
(undirected graph drawing)


Rothberg/3dtube

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  • Matrix group: Rothberg
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(803) or UFget('Rothberg/3dtube') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    Matrix properties
    number of rows45,330
    number of columns45,330
    nonzeros3,213,618
    structural full rank?yes
    structural rank45,330
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    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 AMD27,977,041
    Cholesky flop count3.7e+10
    nnz(L+U), no partial pivoting, with AMD55,908,752
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD219,164,692
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD294,132,186

    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.