• 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/bcsstm35
  • Description: MASS MATRIX, AUTOMOBILE SEAT FRAME AND BODY ATTACHMENT
  • download as a MATLAB mat-file, file size: 118 KB. Use SJget(313) or SJget('Boeing/bcsstm35') in MATLAB.
  • download in Matrix Market format, file size: 136 KB.
  • download in Rutherford/Boeing format, file size: 153 KB.

    Boeing/bcsstm35

    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 15607 to 15612 and associated error bounds.

    Boeing/bcsstm35

    dmperm of Boeing/bcsstm35

    scc of Boeing/bcsstm35

    Matrix properties (click for a legend)  
    number of rows30,237
    number of columns30,237
    structural full rank?no
    structural rank15,803
    numerical rank 15,609
    dimension of the numerical null space14,628
    numerical rank / min(size(A))0.51622
    Euclidean norm of A 0.029506
    calculated singular value # 156091.3379e-013
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.0491e-013
    calculated singular value # 156104.2181e-014
    gap in the singular values at the numerical rank:
    singular value # 15609 / singular value # 15610
    3.1718
    calculated condition number-2
    condestInf
    nonzeros20,619
    # of blocks from dmperm14,796
    # strongly connected comp.29,228
    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
    SJid313
    UFid345

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))32,645 32,645
    Cholesky flop count4.3e+004 4.3e+004
    nnz(L+U), no partial pivoting35,053 35,053
    nnz(V) for QR, upper bound nnz(L) for LU32,645 32,645
    nnz(R) for QR, upper bound nnz(U) for LU32,645 32,645

    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.