• 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/bcsstm36
  • Description: MASS MATRIX, AUTOMOBILE SHOCK ABSORBER ASSEMBLY
  • download as a MATLAB mat-file, file size: 2 MB. Use SJget(376) or SJget('Boeing/bcsstm36') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    Boeing/bcsstm36

    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, used with Matlab 7.6.0.324 (R2008a) to calculate singular values 12170 to 12175 and associated error bounds.

    Boeing/bcsstm36

    dmperm of Boeing/bcsstm36

    scc of Boeing/bcsstm36

    Matrix properties (click for a legend)  
    number of rows23,052
    number of columns23,052
    structural full rank?no
    structural rank12,172
    numerical rank 12,172
    dimension of the numerical null space10,880
    numerical rank / min(size(A))0.52802
    Euclidean norm of A 0.60538
    calculated singular value # 121722.9656e-009
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    2.5593e-012
    calculated singular value # 121731.2117e-027
    gap in the singular values at the numerical rank:
    singular value # 12172 / singular value # 12173
    2.4475e+018
    calculated condition number-2
    condestInf
    nonzeros320,606
    # of blocks from dmperm3
    # strongly connected comp.10,881
    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
    SJid376
    UFid346

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))835,487 858,385
    Cholesky flop count1.1e+008 1.0e+008
    nnz(L+U), no partial pivoting1,647,922 1,693,718
    nnz(V) for QR, upper bound nnz(L) for LU2,102,354 1,779,589
    nnz(R) for QR, upper bound nnz(U) for LU4,004,046 3,370,628

    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.