Matrix: HB/arc130

Description: UNSYMMETRIC MATRIX FROM LASER PROBLEM. A.R.CURTIS, OCT 1974

HB/arc130 graph HB/arc130 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/arc130 dmperm of HB/arc130

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 7 KB. Use UFget(6) or UFget('HB/arc130') in MATLAB.
  • download in Matrix Market format, file size: 13 KB.
  • download in Rutherford/Boeing format, file size: 12 KB.

    Matrix properties
    number of rows130
    number of columns130
    nonzeros1,037
    structural full rank?yes
    structural rank130
    # of blocks from dmperm55
    # strongly connected comp.55
    explicit zero entries245
    nonzero pattern symmetry 76%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Curtis
    editorA. Curtis, I. Duff, J. Reid
    date1974
    kindmaterials problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD841
    Cholesky flop count6.1e+03
    nnz(L+U), no partial pivoting, with AMD1,552
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD982
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,935

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 245 explicit zero entries.

    SVD-based statistics:
    norm(A)239735
    min(svd(A))3.9598e-06
    cond(A)6.05421e+10
    rank(A)130
    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

    HB/arc130 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.