Matrix: HB/rgg010

Description: S EXAMPLE TO DEMONSTRATE THE CHIMNEY EFFECT IN P4 - BY R.G. GRIMES

HB/rgg010 graph HB/rgg010 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/rgg010

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 528 bytes. Use UFget(238) or UFget('HB/rgg010') in MATLAB.
  • download in Matrix Market format, file size: 591 bytes.
  • download in Rutherford/Boeing format, file size: 545 bytes.

    Matrix properties
    number of rows10
    number of columns10
    nonzeros76
    structural full rank?yes
    structural rank10
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 64%
    numeric value symmetry 64%
    typebinary
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Lewis
    editorI. Duff, R. Grimes, J. Lewis
    date1983
    kindcounter-example problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD55
    Cholesky flop count3.8e+02
    nnz(L+U), no partial pivoting, with AMD100
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD55
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD55

    SVD-based statistics:
    norm(A)8.19707
    min(svd(A))0
    cond(A)Inf
    rank(A)4
    sprank(A)-rank(A)6
    null space dimension6
    full numerical rank?no
    singular value gap3.34702e+15

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

    HB/rgg010 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.