Matrix: Shen/shermanACd

Description: From Kai Shen, UCSB (now at kshen@cs.rochester.edu)

Shen/shermanACd graph Shen/shermanACd graph
(bipartite graph drawing) (graph drawing of A+A')

Shen/shermanACd dmperm of Shen/shermanACd

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  • Matrix group: Shen
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  • download as a MATLAB mat-file, file size: 382 KB. Use UFget(902) or UFget('Shen/shermanACd') in MATLAB.
  • download in Matrix Market format, file size: 338 KB.
  • download in Rutherford/Boeing format, file size: 293 KB.

    Matrix properties
    number of rows6,136
    number of columns6,136
    nonzeros53,329
    structural full rank?yes
    structural rank6,136
    # of blocks from dmperm92
    # strongly connected comp.92
    explicit zero entries0
    nonzero pattern symmetry 15%
    numeric value symmetry 2%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorK. Shen
    editorT. Davis
    date2003
    kind2D/3D problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD154,082
    Cholesky flop count1.5e+07
    nnz(L+U), no partial pivoting, with AMD302,028
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD7,034,745
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD16,172,444

    SVD-based statistics:
    norm(A)32.3326
    min(svd(A))5.53385e-06
    cond(A)5.84269e+06
    rank(A)6,136
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    Shen/shermanACd 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.