Matrix: Shen/e40r0100

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

Shen/e40r0100 graph Shen/e40r0100 graph
(bipartite graph drawing) (graph drawing of A+A')


Shen/e40r0100

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  • Matrix group: Shen
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  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(899) or UFget('Shen/e40r0100') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Matrix properties
    number of rows17,281
    number of columns17,281
    nonzeros553,562
    structural full rank?yes
    structural rank17,281
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 31%
    numeric value symmetry 0%
    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 AMD2,661,061
    Cholesky flop count7.7e+08
    nnz(L+U), no partial pivoting, with AMD5,304,841
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD2,266,301
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD7,947,173

    SVD-based statistics:
    norm(A)13.0884
    min(svd(A))8.68036e-08
    cond(A)1.50781e+08
    rank(A)17,281
    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/e40r0100 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.