Matrix: HB/bcsstm01

Description: SYMMETRIC MASS MATRIX SMALL GENERALIZED EIGENVALUE PROBLEM, B MATRIX

HB/bcsstm01 graph
(undirected graph drawing)


HB/bcsstm01 dmperm of HB/bcsstm01
scc of HB/bcsstm01

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 621 bytes. Use UFget(56) or UFget('HB/bcsstm01') in MATLAB.
  • download in Matrix Market format, file size: 622 bytes.
  • download in Rutherford/Boeing format, file size: 602 bytes.

    Matrix properties
    number of rows48
    number of columns48
    nonzeros24
    structural full rank?no
    structural rank24
    # of blocks from dmperm26
    # strongly connected comp.48
    explicit zero entries24
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typeinteger
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

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

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD48
    Cholesky flop count4.8e+01
    nnz(L+U), no partial pivoting, with AMD48
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD48
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD48

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

    SVD-based statistics:
    norm(A)200
    min(svd(A))0
    cond(A)Inf
    rank(A)24
    sprank(A)-rank(A)0
    null space dimension24
    full numerical rank?no
    singular value gapInf

    singular values (MAT file):click here
    SVD method used:s = sort (abs(full(diag(A))),'descend') ; since A is diagonal
    status:ok

    HB/bcsstm01 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.