Matrix: HB/bcsstk23

Description: SYMMETRIC STIFFNESS MATRIX - PORTION OF A 3D GLOBALLY TRIANGLULAR BLDG

HB/bcsstk23 graph
(undirected graph drawing)


HB/bcsstk23

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: HB
  • Click here for a description of the HB group.
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  • download as a MATLAB mat-file, file size: 218 KB. Use UFget(45) or UFget('HB/bcsstk23') in MATLAB.
  • download in Matrix Market format, file size: 199 KB.
  • download in Rutherford/Boeing format, file size: 163 KB.

    Matrix properties
    number of rows3,134
    number of columns3,134
    nonzeros45,178
    structural full rank?yes
    structural rank3,134
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorJ. Lewis
    editorI. Duff, R. Grimes, J. Lewis
    date1984
    kindstructural problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD431,344
    Cholesky flop count1.3e+08
    nnz(L+U), no partial pivoting, with AMD859,554
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD741,699
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,261,838

    SVD-based statistics:
    norm(A)2.25804e+16
    min(svd(A))8535.28
    cond(A)2.64554e+12
    rank(A)3,133
    sprank(A)-rank(A)1
    null space dimension1
    full numerical rank?no
    singular value gap1.67394

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

    HB/bcsstk23 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.