• SJSU Singular Matrix Database
  • Matrix group: HB
  • Click here for a description of the HB group.
  • Click here for a list of all matrices
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  • Matrix: HB/bcsstm13
  • Description: SYMMETRIC MASS MATRIX, FLUID FLOW GENERALIZED EIGENVALUES
  • download as a MATLAB mat-file, file size: 74 KB. Use SJget(69) or SJget('HB/bcsstm13') in MATLAB.
  • download in Matrix Market format, file size: 67 KB.
  • download in Rutherford/Boeing format, file size: 50 KB.

    HB/bcsstm13

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

    HB/bcsstm13

    dmperm of HB/bcsstm13

    scc of HB/bcsstm13

    Matrix properties (click for a legend)  
    number of rows2,003
    number of columns2,003
    structural full rank?no
    structural rank1,241
    numerical rank 1,241
    dimension of the numerical null space762
    numerical rank / min(size(A))0.61957
    Euclidean norm of A 257.93
    calculated singular value # 12410.0095532
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.1386e-010
    calculated singular value # 12421.7796e-014
    gap in the singular values at the numerical rank:
    singular value # 1241 / singular value # 1242
    5.368e+011
    calculated condition numberInf
    condestInf
    nonzeros21,181
    # of blocks from dmperm574
    # strongly connected comp.1,334
    explicit zero entries762
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorJ. Lewis
    editorI. Duff, R. Grimes, J. Lewis
    date1982
    kindcomputational fluid dynamics problem
    2D/3D problem?yes
    SJid69
    UFid68

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))44,844 44,078
    Cholesky flop count4.2e+006 3.7e+006
    nnz(L+U), no partial pivoting87,685 86,153
    nnz(V) for QR, upper bound nnz(L) for LU50,629 71,653
    nnz(R) for QR, upper bound nnz(U) for LU99,266 120,776

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 762 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.