Matrix: HB/bcsstm03

Description: SYMMETRIC MASS MATRIX, SMALL TEST STRUCTURE

HB/bcsstm03 graph
(undirected graph drawing)


HB/bcsstm03 dmperm of HB/bcsstm03
scc of HB/bcsstm03

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 1 KB. Use UFget(58) or UFget('HB/bcsstm03') in MATLAB.
  • download in Matrix Market format, file size: 1 KB.
  • download in Rutherford/Boeing format, file size: 1 KB.

    Matrix properties
    number of rows112
    number of columns112
    nonzeros72
    structural full rank?no
    structural rank72
    # of blocks from dmperm74
    # strongly connected comp.112
    explicit zero entries40
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    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 AMD112
    Cholesky flop count1.1e+02
    nnz(L+U), no partial pivoting, with AMD112
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD112
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD112

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

    SVD-based statistics:
    norm(A)5403.5
    min(svd(A))0
    cond(A)Inf
    rank(A)72
    sprank(A)-rank(A)0
    null space dimension40
    full numerical rank?no
    singular value gapInf

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:ok

    HB/bcsstm03 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.