Matrix: HB/can_1072

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

HB/can_1072 graph
(undirected graph drawing)


HB/can_1072

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 16 KB. Use UFget(92) or UFget('HB/can_1072') in MATLAB.
  • download in Matrix Market format, file size: 15 KB.
  • download in Rutherford/Boeing format, file size: 12 KB.

    Matrix properties
    number of rows1,072
    number of columns1,072
    nonzeros12,444
    structural full rank?yes
    structural rank1,072
    # 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 AMD20,548
    Cholesky flop count6.3e+05
    nnz(L+U), no partial pivoting, with AMD40,024
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD44,135
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD112,001

    SVD-based statistics:
    norm(A)14.8837
    min(svd(A))1.22513e-34
    cond(A)1.21487e+35
    rank(A)1,050
    sprank(A)-rank(A)22
    null space dimension22
    full numerical rank?no
    singular value gap6.2205e+11

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

    HB/can_1072 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.