Matrix: HB/can_445

Description: SYMMETRIC PATTERN FROM CANNES,LUCIEN MARRO,JUNE 1981.

HB/can_445 graph
(undirected graph drawing)


HB/can_445

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 4 KB. Use UFget(101) or UFget('HB/can_445') in MATLAB.
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    Matrix properties
    number of rows445
    number of columns445
    nonzeros3,809
    structural full rank?yes
    structural rank445
    # 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

    authorL. Marro
    editorI. Duff, R. Grimes, J. Lewis
    date1981
    kindstructural problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD9,852
    Cholesky flop count3.4e+05
    nnz(L+U), no partial pivoting, with AMD19,259
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD15,506
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD27,510

    SVD-based statistics:
    norm(A)8.95094
    min(svd(A))3.09046e-17
    cond(A)2.89632e+17
    rank(A)443
    sprank(A)-rank(A)2
    null space dimension2
    full numerical rank?no
    singular value gap5.61193e+13

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

    HB/can_445 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.