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


  • Matrix: Boeing/bcsstk36
  • Description: STIFFNESS MATRIX, AUTOMOBILE SHOCK ABSORBER ASSEMBLY
  • download as a MATLAB mat-file, file size: 8 MB. Use SJget(471) or SJget('Boeing/bcsstk36') in MATLAB.
  • download in Matrix Market format, file size: 5 MB.
  • download in Rutherford/Boeing format, file size: 4 MB.

    Boeing/bcsstk36

    A singular value of A is guaranteed1 to be in the interval pictured by the blue bars around each of the calculated singular values.

    Routine svds_err, version 1.0, used with Matlab 7.6.0.324 (R2008a) to calculate the 6 largest singular values and associated error bounds.
    Routine spnrank, version 1.0 with opts.tol_eigs = 1e-008, used with Matlab 7.6.0.324 (R2008a) to calculate singular values 23018 to 23023 and associated error bounds.

    Boeing/bcsstk36

    Matrix properties (click for a legend)  
    number of rows23,052
    number of columns23,052
    structural full rank?yes
    structural rank23,052
    numerical rank 23,020
    dimension of the numerical null space32
    numerical rank / min(size(A))0.99861
    Euclidean norm of A 1.7754e+008
    calculated singular value # 230200.00068991
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    0.000687
    calculated singular value # 230210.00067081
    gap in the singular values at the numerical rank:
    singular value # 23020 / singular value # 23021
    1.0285
    calculated condition number-2
    condest1.3954e+012
    nonzeros1,143,140
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorR. Grimes
    editorT. Davis
    date1995
    kindstructural problem
    2D/3D problem?yes
    SJid471
    UFid341

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))2,732,511 2,945,679
    Cholesky flop count6.2e+008 6.4e+008
    nnz(L+U), no partial pivoting5,441,970 5,868,306
    nnz(V) for QR, upper bound nnz(L) for LU7,616,171 5,936,275
    nnz(R) for QR, upper bound nnz(U) for LU15,718,121 11,423,655

    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.