Matrix: HB/bcsstm24

Description: SYMMETRIC MASS MATRIX - WINTER SPORTS ARENA

HB/bcsstm24 graph
(undirected graph drawing)


HB/bcsstm24 dmperm of HB/bcsstm24

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: HB
  • Click here for a description of the HB group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 21 KB. Use UFget(74) or UFget('HB/bcsstm24') in MATLAB.
  • download in Matrix Market format, file size: 26 KB.
  • download in Rutherford/Boeing format, file size: 20 KB.

    Matrix properties
    number of rows3,562
    number of columns3,562
    nonzeros3,562
    structural full rank?yes
    structural rank3,562
    # of blocks from dmperm3,562
    # strongly connected comp.3,562
    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 AMD3,562
    Cholesky flop count3.6e+03
    nnz(L+U), no partial pivoting, with AMD3,562
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD3,562
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,562

    SVD-based statistics:
    norm(A)1.01535e+06
    min(svd(A))5.61697e-08
    cond(A)1.80764e+13
    rank(A)3,496
    sprank(A)-rank(A)66
    null space dimension66
    full numerical rank?no
    singular value gap5482.08

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

    HB/bcsstm24 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.