Matrix: HB/lock2232

Description: FINITE ELEMENT PROBLEM. LOCKHEED TOWER PROBLEM

HB/lock2232 graph
(undirected graph drawing)


HB/lock2232 dmperm of HB/lock2232
scc of HB/lock2232

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 23 KB. Use UFget(1179) or UFget('HB/lock2232') in MATLAB.
  • download in Matrix Market format, file size: 87 KB.
  • download in Rutherford/Boeing format, file size: 25 KB.

    Matrix properties
    number of rows2,232
    number of columns2,232
    nonzeros80,352
    structural full rank?no
    structural rank2,208
    # of blocks from dmperm3
    # strongly connected comp.25
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorW. Loden
    editorI. Duff, R. Grimes, J. Lewis
    date1980
    kindstructural problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD80,364
    Cholesky flop count3.4e+06
    nnz(L+U), no partial pivoting, with AMD158,496
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD108,834
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD240,276

    SVD-based statistics:
    norm(A)40.3553
    min(svd(A))0
    cond(A)Inf
    rank(A)368
    sprank(A)-rank(A)1,840
    null space dimension1,864
    full numerical rank?no
    singular value gap4.88465e+11

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

    HB/lock2232 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.