Matrix: Pothen/barth4

Description: barth4, with coordinates. From NASA, collected by Alex Pothen

Pothen/barth4 graph
(undirected graph drawing)


Pothen/barth4
Pothen/barth4 graph

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  • Matrix group: Pothen
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  • download as a MATLAB mat-file, file size: 144 KB. Use UFget(866) or UFget('Pothen/barth4') in MATLAB.
  • download in Matrix Market format, file size: 93 KB.
  • download in Rutherford/Boeing format, file size: 92 KB.

    Matrix properties
    number of rows6,019
    number of columns6,019
    nonzeros40,965
    structural full rank?yes
    structural rank6,019
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorNASA
    editorG. Kumfert, A. Pothen
    date2003
    kindstructural problem
    2D/3D problem?yes

    Additional fieldssize and type
    coordfull 6019-by-2

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD113,825
    Cholesky flop count3.6e+06
    nnz(L+U), no partial pivoting, with AMD221,631
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD159,536
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD300,698

    SVD-based statistics:
    norm(A)7.05562
    min(svd(A))0.000309921
    cond(A)22765.9
    rank(A)6,019
    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

    Pothen/barth4 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.