Matrix: HB/lshp1009

Description: SYMMETRIC MATRIX FROM ALAN GEORGE'S L-SHAPE PROBLEMS, 1978.

HB/lshp1009 graph
(undirected graph drawing)


HB/lshp1009

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 9 KB. Use UFget(194) or UFget('HB/lshp1009') in MATLAB.
  • download in Matrix Market format, file size: 9 KB.
  • download in Rutherford/Boeing format, file size: 9 KB.

    Matrix properties
    number of rows1,009
    number of columns1,009
    nonzeros6,865
    structural full rank?yes
    structural rank1,009
    # 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

    authorA. George
    editorI. Duff, R. Grimes, J. Lewis
    date1978
    kindduplicate thermal problem
    2D/3D problem?yes

    Notes:

    duplicate of HB/jagmesh2
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD17,931
    Cholesky flop count4.7e+05
    nnz(L+U), no partial pivoting, with AMD34,853
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD23,693
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD43,573

    SVD-based statistics:
    norm(A)6.96954
    min(svd(A))0.00294509
    cond(A)2366.49
    rank(A)1,009
    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/lshp1009 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.