• SJSU Singular Matrix Database
  • 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


  • Matrix: HB/bcsstm24
  • Description: SYMMETRIC MASS MATRIX - WINTER SPORTS ARENA
  • download as a MATLAB mat-file, file size: 27 KB. Use SJget(295) or SJget('HB/bcsstm24') in MATLAB.
  • download in Matrix Market format, file size: 27 KB.
  • download in Rutherford/Boeing format, file size: 20 KB.

    HB/bcsstm24

    Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

    HB/bcsstm24

    dmperm of HB/bcsstm24

    Matrix properties (click for a legend)  
    number of rows3,562
    number of columns3,562
    structural full rank?yes
    structural rank3,562
    numerical rank 3,496
    dimension of the numerical null space66
    numerical rank / min(size(A))0.98147
    Euclidean norm of A 1.0153e+006
    calculated singular value # 34960.0005617
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    4.1467e-007
    calculated singular value # 34971.0246e-007
    gap in the singular values at the numerical rank:
    singular value # 3496 / singular value # 3497
    5482.1
    calculated condition number1.8076e+013
    condest1.8076e+013
    nonzeros3,562
    # of blocks from dmperm3,562
    # strongly connected comp.3,562
    entries not in dmperm blocks0
    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
    SJid295
    UFid74

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))3,562 3,562 3,562
    Cholesky flop count3.6e+003 3.6e+003 3.6e+003
    nnz(L+U), no partial pivoting3,562 3,562 3,562
    nnz(V) for QR, upper bound nnz(L) for LU3,562 3,562 3,562
    nnz(R) for QR, upper bound nnz(U) for LU3,562 3,562 3,562

    Maintained by Leslie Foster, last updated 24-Apr-2009.

    Entries 5 through 14 in the table of matrix properties and the singular
    value plot were created using SJsingular code. The other plots
    and statistics are produced using utilities from the SuiteSparse package.
    Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.