• 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/mcca
  • Description: U NON-LTE PROBLEM ASTROPHYSICS.CODE:M.CARLSSON, ATOM=CA 2 ATMOS=VAL3C .
  • download as a MATLAB mat-file, file size: 17 KB. Use SJget(152) or SJget('HB/mcca') in MATLAB.
  • download in Matrix Market format, file size: 21 KB.
  • download in Rutherford/Boeing format, file size: 18 KB.

    HB/mcca

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

    HB/mcca

    dmperm of HB/mcca

    Matrix properties (click for a legend)  
    number of rows180
    number of columns180
    structural full rank?yes
    structural rank180
    numerical rank 143
    dimension of the numerical null space37
    numerical rank / min(size(A))0.79444
    Euclidean norm of A 2.0442e+019
    calculated singular value # 1437.8862e+005
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    7.3728e+005
    calculated singular value # 1447.194e+005
    gap in the singular values at the numerical rank:
    singular value # 143 / singular value # 144
    1.0962
    calculated condition number1.9537e+017
    condest3.5905e+017
    nonzeros2,659
    # of blocks from dmperm6
    # strongly connected comp.6
    entries not in dmperm blocks7
    explicit zero entries0
    nonzero pattern symmetry 64%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorM. Carlsson
    editorI. Duff, R. Grimes, J. Lewis
    date1985
    kind2D/3D problem
    2D/3D problem?yes
    SJid152
    UFid212

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))2,001 2,343 1,994
    Cholesky flop count3.7e+004 5.6e+004 3.7e+004
    nnz(L+U), no partial pivoting3,822 4,506 3,815
    nnz(V) for QR, upper bound nnz(L) for LU3,160 2,836 2,635
    nnz(R) for QR, upper bound nnz(U) for LU5,165 5,641 5,040

    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.