Matrix: Chevron/Chevron1

Description: Temporal freq domain seismic modeling; J. Washbourne, Chevron

Chevron/Chevron1 graph Chevron/Chevron1 graph
(bipartite graph drawing) (graph drawing of A+A')


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  • Matrix group: Chevron
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  • download as a MATLAB mat-file, file size: 640 KB. Use UFget(2555) or UFget('Chevron/Chevron1') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 969 KB.

    Matrix properties
    number of rows37,365
    number of columns37,365
    structural full rank?yes
    structural rank37,365
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 99%
    numeric value symmetry 71%
    Cholesky candidate?no
    positive definite?no

    authorJ. Washbourne
    editorT. Davis
    kind2D/3D problem
    2D/3D problem?no


    Complex unsymmetric matrix arising from a 2D Helmholtz formulation
    for temporal frequency domain seismic modeling.                   
    From John Washbourne, Chevron                                     

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,687,266
    Cholesky flop count2.5e+08
    nnz(L+U), no partial pivoting, with AMD3,337,167
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD2,464,508
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD4,693,946

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A))

    Chevron/Chevron1 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.