• 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/bcsstm03
  • Description: SYMMETRIC MASS MATRIX, SMALL TEST STRUCTURE
  • download as a MATLAB mat-file, file size: 1 KB. Use SJget(67) or SJget('HB/bcsstm03') in MATLAB.
  • download in Matrix Market format, file size: 1 KB.
  • download in Rutherford/Boeing format, file size: 1 KB.

    HB/bcsstm03

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

    HB/bcsstm03

    dmperm of HB/bcsstm03

    scc of HB/bcsstm03

    Matrix properties (click for a legend)  
    number of rows112
    number of columns112
    structural full rank?no
    structural rank72
    numerical rank 72
    dimension of the numerical null space40
    numerical rank / min(size(A))0.64286
    Euclidean norm of A 5403.5
    calculated singular value # 720.10345
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.0186e-010
    calculated singular value # 730
    gap in the singular values at the numerical rank:
    singular value # 72 / singular value # 73
    Inf
    calculated condition numberInf
    condestInf
    nonzeros72
    # of blocks from dmperm74
    # strongly connected comp.112
    explicit zero entries40
    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
    SJid67
    UFid58

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))112 112
    Cholesky flop count1.1e+002 1.1e+002
    nnz(L+U), no partial pivoting112 112
    nnz(V) for QR, upper bound nnz(L) for LU112 112
    nnz(R) for QR, upper bound nnz(U) for LU112 112

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 40 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.