• SJSU Singular Matrix Database
  • Matrix group: Bai
  • Click here for a description of the Bai group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: Bai/mhd4800a
  • Description: ALFVEN SPECTRA IN MAGNETOHYDRODYNAMICS
  • download as a MATLAB mat-file, file size: 689 KB. Use SJget(156) or SJget('Bai/mhd4800a') in MATLAB.
  • download in Matrix Market format, file size: 868 KB.
  • download in Rutherford/Boeing format, file size: 699 KB.

    Bai/mhd4800a

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

    Bai/mhd4800a

    dmperm of Bai/mhd4800a

    scc of Bai/mhd4800a

    Matrix properties (click for a legend)  
    number of rows4,800
    number of columns4,800
    structural full rank?yes
    structural rank4,800
    numerical rank 3,302
    dimension of the numerical null space1,498
    numerical rank / min(size(A))0.68792
    Euclidean norm of A 3.6287e+005
    calculated singular value # 33023.0021e-007
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    2.794e-007
    calculated singular value # 33039.5863e-008
    gap in the singular values at the numerical rank:
    singular value # 3302 / singular value # 3303
    3.1317
    calculated condition number1.4953e+033
    condest2.3936e+060
    nonzeros102,252
    # of blocks from dmperm8
    # strongly connected comp.8
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetry 77%
    numeric value symmetry 27%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Booten, M. Kooper, H. van der Vorst, S. Poedts, J. Goedbloed
    editorZ. Bai, D. Day, J. Demmel, J. Dongarra
    date1994
    kindelectromagnetics problem
    2D/3D problem?yes
    SJid156
    UFid1,624

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))91,765 137,721 100,067
    Cholesky flop count1.8e+006 4.2e+006 2.1e+006
    nnz(L+U), no partial pivoting178,730 270,642 195,334
    nnz(V) for QR, upper bound nnz(L) for LU188,859 137,409 80,753
    nnz(R) for QR, upper bound nnz(U) for LU344,832 295,224 162,312

    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.