• 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/bcsstm01
  • Description: SYMMETRIC MASS MATRIX SMALL GENERALIZED EIGENVALUE PROBLEM, B MATRIX
  • download as a MATLAB mat-file, file size: 745 bytes. Use SJget(66) or SJget('HB/bcsstm01') in MATLAB.
  • download in Matrix Market format, file size: 647 bytes.
  • download in Rutherford/Boeing format, file size: 626 bytes.

    HB/bcsstm01

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

    HB/bcsstm01

    dmperm of HB/bcsstm01

    scc of HB/bcsstm01

    Matrix properties (click for a legend)  
    number of rows48
    number of columns48
    structural full rank?no
    structural rank24
    numerical rank 24
    dimension of the numerical null space24
    numerical rank / min(size(A))0.5
    Euclidean norm of A 200
    calculated singular value # 24100
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.3642e-012
    calculated singular value # 250
    gap in the singular values at the numerical rank:
    singular value # 24 / singular value # 25
    Inf
    calculated condition numberInf
    condestInf
    nonzeros24
    # of blocks from dmperm26
    # strongly connected comp.48
    explicit zero entries24
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typeinteger
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorJ. Lewis
    editorI. Duff, R. Grimes, J. Lewis
    date1982
    kindstructural problem
    2D/3D problem?yes
    SJid66
    UFid56

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))48 48
    Cholesky flop count4.8e+001 4.8e+001
    nnz(L+U), no partial pivoting48 48
    nnz(V) for QR, upper bound nnz(L) for LU48 48
    nnz(R) for QR, upper bound nnz(U) for LU48 48

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 24 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.