• 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/sstmodel
  • Description: S CONNECTIVITY STRUCTURE OF EARLY BOEING 2707 SST AIRFRAME
  • download as a MATLAB mat-file, file size: 48 KB. Use SJget(220) or SJget('HB/sstmodel') in MATLAB.
  • download in Matrix Market format, file size: 31 KB.
  • download in Rutherford/Boeing format, file size: 26 KB.

    HB/sstmodel

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

    HB/sstmodel

    dmperm of HB/sstmodel

    Matrix properties (click for a legend)  
    number of rows3,345
    number of columns3,345
    structural full rank?yes
    structural rank3,345
    numerical rank 3,326
    dimension of the numerical null space19
    numerical rank / min(size(A))0.99432
    Euclidean norm of A 12.125
    calculated singular value # 33260.00083765
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    5.9419e-012
    calculated singular value # 33277.4452e-016
    gap in the singular values at the numerical rank:
    singular value # 3326 / singular value # 3327
    1.1251e+012
    calculated condition numberInf
    condestInf
    nonzeros22,749
    # of blocks from dmperm616
    # strongly connected comp.616
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorE. Meyer
    editorI. Duff, R. Grimes, J. Lewis
    date1983
    kindstructural problem
    2D/3D problem?yes
    SJid220
    UFid250

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))36,728 45,302 36,728
    Cholesky flop count8.2e+005 1.4e+006 8.2e+005
    nnz(L+U), no partial pivoting70,111 87,259 70,111
    nnz(V) for QR, upper bound nnz(L) for LU54,040 69,753 54,219
    nnz(R) for QR, upper bound nnz(U) for LU103,310 132,315 102,561

    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.