• 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/dwg961a
  • Description: DISPERSIVE WAVEGUIDE STRUCTURES
  • download as a MATLAB mat-file, file size: 23 KB. Use SJget(90) or SJget('Bai/dwg961a') in MATLAB.
  • download in Matrix Market format, file size: 13 KB.
  • download in Rutherford/Boeing format, file size: 14 KB.

    Bai/dwg961a

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

    Bai/dwg961a

    dmperm of Bai/dwg961a

    scc of Bai/dwg961a

    Matrix properties (click for a legend)  
    number of rows961
    number of columns961
    structural full rank?no
    structural rank705
    numerical rank 705
    dimension of the numerical null space256
    numerical rank / min(size(A))0.73361
    Euclidean norm of A 5.1667e+005
    calculated singular value # 7051.8559
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    5.5938e-008
    calculated singular value # 7060
    gap in the singular values at the numerical rank:
    singular value # 705 / singular value # 706
    Inf
    calculated condition numberInf
    condestInf
    nonzeros3,405
    # of blocks from dmperm3
    # strongly connected comp.257
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 36%
    typecomplex
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorS. Gedney and U. Navasariwala
    editorZ. Bai, D. Day, J. Demmel, J. Dongarra
    date1996
    kindelectromagnetics problem
    2D/3D problem?yes
    SJid90
    UFid1,618

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))6,322 6,567
    Cholesky flop count7.5e+004 8.1e+004
    nnz(L+U), no partial pivoting11,683 12,173
    nnz(V) for QR, upper bound nnz(L) for LU9,262 10,145
    nnz(R) for QR, upper bound nnz(U) for LU17,679 20,137

    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.