• 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/bcsstk35
  • Description: STIFFNESS MATRIX, AUTOMOBILE SEAT FRAME AND BODY ATTACHMENT
  • download as a MATLAB mat-file, file size: 10 MB. Use SJget(448) or SJget('Boeing/bcsstk35') in MATLAB.
  • download in Matrix Market format, file size: 7 MB.
  • download in Rutherford/Boeing format, file size: 5 MB.

    Boeing/bcsstk35

    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 30229 to 30234 and associated error bounds.

    Boeing/bcsstk35

    Matrix properties (click for a legend)  
    number of rows30,237
    number of columns30,237
    structural full rank?yes
    structural rank30,237
    numerical rank 30,231
    dimension of the numerical null space6
    numerical rank / min(size(A))0.9998
    Euclidean norm of A 4.9492e+009
    calculated singular value # 302310.059588
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    0.028836
    calculated singular value # 302328.709e-005
    gap in the singular values at the numerical rank:
    singular value # 30231 / singular value # 30232
    684.22
    calculated condition number-2
    condest1.8414e+015
    nonzeros1,450,163
    # 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?no

    authorR. Grimes
    editorT. Davis
    date1995
    kindstructural problem
    2D/3D problem?yes
    SJid448
    UFid340

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))2,730,230 3,131,890
    Cholesky flop count3.9e+008 5.3e+008
    nnz(L+U), no partial pivoting5,430,223 6,233,543
    nnz(V) for QR, upper bound nnz(L) for LU7,395,686 5,957,884
    nnz(R) for QR, upper bound nnz(U) for LU14,651,764 11,743,862

    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.