• 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/mcfe
  • Description: U NON-LTE PROBLEM ASTROPHYSICS.CODE:M.CARLSSON, ATOM='FE ATMOS=M65GXM.
  • download as a MATLAB mat-file, file size: 150 KB. Use SJget(153) or SJget('HB/mcfe') in MATLAB.
  • download in Matrix Market format, file size: 199 KB.
  • download in Rutherford/Boeing format, file size: 159 KB.

    HB/mcfe

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

    HB/mcfe

    dmperm of HB/mcfe

    Matrix properties (click for a legend)  
    number of rows765
    number of columns765
    structural full rank?yes
    structural rank765
    numerical rank 759
    dimension of the numerical null space6
    numerical rank / min(size(A))0.99216
    Euclidean norm of A 1.3476e+017
    calculated singular value # 75920656
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    12240
    calculated singular value # 7607506.2
    gap in the singular values at the numerical rank:
    singular value # 759 / singular value # 760
    2.7518
    calculated condition number4.2418e+013
    condest1.6701e+014
    nonzeros24,382
    # of blocks from dmperm5
    # strongly connected comp.5
    entries not in dmperm blocks40
    explicit zero entries0
    nonzero pattern symmetry 70%
    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
    SJid153
    UFid213

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))45,468 57,448 45,376
    Cholesky flop count4.8e+006 8.4e+006 4.8e+006
    nnz(L+U), no partial pivoting90,171 114,131 90,027
    nnz(V) for QR, upper bound nnz(L) for LU23,580 55,681 59,732
    nnz(R) for QR, upper bound nnz(U) for LU79,011 110,088 99,378

    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.