• 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/bcsstm04
  • Description: SYMMETRIC MASS MATRIX, OIL RIG, NOT CONDENSED (SAME MODEL AS BCSSTX02)
  • download as a MATLAB mat-file, file size: 1 KB. Use SJget(68) or SJget('HB/bcsstm04') in MATLAB.
  • download in Matrix Market format, file size: 1 KB.
  • download in Rutherford/Boeing format, file size: 1 KB.

    HB/bcsstm04

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

    HB/bcsstm04

    dmperm of HB/bcsstm04

    scc of HB/bcsstm04

    Matrix properties (click for a legend)  
    number of rows132
    number of columns132
    structural full rank?no
    structural rank66
    numerical rank 66
    dimension of the numerical null space66
    numerical rank / min(size(A))0.5
    Euclidean norm of A 0.17283
    calculated singular value # 660.019747
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    3.6637e-015
    calculated singular value # 670
    gap in the singular values at the numerical rank:
    singular value # 66 / singular value # 67
    Inf
    calculated condition numberInf
    condestInf
    nonzeros66
    # of blocks from dmperm68
    # strongly connected comp.132
    explicit zero entries66
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorJ. Lewis
    editorI. Duff, R. Grimes, J. Lewis
    date1982
    kindstructural problem
    2D/3D problem?yes
    SJid68
    UFid59

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))132 132
    Cholesky flop count1.3e+002 1.3e+002
    nnz(L+U), no partial pivoting132 132
    nnz(V) for QR, upper bound nnz(L) for LU132 132
    nnz(R) for QR, upper bound nnz(U) for LU132 132

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 66 explicit zero entries.

    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.