Matrix: HB/ash85

Description: SYMMETRIC PATTERN OF NORMAL MATRIX OF HOLLAND SURVEY. ASHKENAZI, 1974

HB/ash85 graph
(undirected graph drawing)


HB/ash85

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 1 KB. Use UFget(11) or UFget('HB/ash85') in MATLAB.
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    Matrix properties
    number of rows85
    number of columns85
    nonzeros523
    structural full rank?yes
    structural rank85
    # 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

    authorV. Askenazi
    editorA. Curtis, I. Duff, J. Reid
    date1974
    kindleast squares problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD505
    Cholesky flop count3.3e+03
    nnz(L+U), no partial pivoting, with AMD925
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD598
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,096

    SVD-based statistics:
    norm(A)6.72155
    min(svd(A))0.014494
    cond(A)463.746
    rank(A)85
    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/ash85 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.