Matrix: Shen/shermanACa

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

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

Shen/shermanACa dmperm of Shen/shermanACa

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  • Matrix group: Shen
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  • download as a MATLAB mat-file, file size: 194 KB. Use UFget(900) or UFget('Shen/shermanACa') in MATLAB.
  • download in Matrix Market format, file size: 165 KB.
  • download in Rutherford/Boeing format, file size: 145 KB.

    Matrix properties
    number of rows3,432
    number of columns3,432
    nonzeros25,220
    structural full rank?yes
    structural rank3,432
    # of blocks from dmperm59
    # strongly connected comp.59
    explicit zero entries0
    nonzero pattern symmetry 16%
    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 AMD95,384
    Cholesky flop count9.3e+06
    nnz(L+U), no partial pivoting, with AMD187,336
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,758,445
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,933,872

    SVD-based statistics:
    norm(A)811.036
    min(svd(A))4.87244e-05
    cond(A)1.66454e+07
    rank(A)3,432
    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/shermanACa 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.