• 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/mhd3200a
  • Description: ALFVEN SPECTRA IN MAGNETOHYDRODYNAMICS
  • download as a MATLAB mat-file, file size: 458 KB. Use SJget(155) or SJget('Bai/mhd3200a') in MATLAB.
  • download in Matrix Market format, file size: 576 KB.
  • download in Rutherford/Boeing format, file size: 471 KB.

    Bai/mhd3200a

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

    Bai/mhd3200a

    dmperm of Bai/mhd3200a

    scc of Bai/mhd3200a

    Matrix properties (click for a legend)  
    number of rows3,200
    number of columns3,200
    structural full rank?yes
    structural rank3,200
    numerical rank 2,244
    dimension of the numerical null space956
    numerical rank / min(size(A))0.70125
    Euclidean norm of A 1.6074e+005
    calculated singular value # 22449.3637e-008
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    9.3132e-008
    calculated singular value # 22459.2148e-008
    gap in the singular values at the numerical rank:
    singular value # 2244 / singular value # 2245
    1.0162
    calculated condition number6.8883e+030
    condest2.9874e+046
    nonzeros68,026
    # 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
    SJid155
    UFid1,622

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))61,066 91,142 66,566
    Cholesky flop count1.2e+006 2.8e+006 1.4e+006
    nnz(L+U), no partial pivoting118,932 179,084 129,932
    nnz(V) for QR, upper bound nnz(L) for LU123,175 88,322 53,753
    nnz(R) for QR, upper bound nnz(U) for LU221,646 190,636 107,912

    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.