• 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/bcsstk37
  • download as a MATLAB mat-file, file size: 8 MB. Use SJget(477) or SJget('Boeing/bcsstk37') in MATLAB.
  • download in Matrix Market format, file size: 5 MB.
  • download in Rutherford/Boeing format, file size: 4 MB.


    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 (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 (R2008a) to calculate singular values 25393 to 25398 and associated error bounds.


    Matrix properties (click for a legend)  
    number of rows25,503
    number of columns25,503
    structural full rank?yes
    structural rank25,503
    numerical rank 25,395
    dimension of the numerical null space108
    numerical rank / min(size(A))0.99577
    Euclidean norm of A 8.4129e+007
    calculated singular value # 253950.00038487
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 253960.0003798
    gap in the singular values at the numerical rank:
    singular value # 25395 / singular value # 25396
    calculated condition number-2
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?no

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

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))2,815,563 3,054,868
    Cholesky flop count5.5e+008 6.2e+008
    nnz(L+U), no partial pivoting5,605,623 6,084,233
    nnz(V) for QR, upper bound nnz(L) for LU6,458,267 5,571,309
    nnz(R) for QR, upper bound nnz(U) for LU13,377,102 10,908,005

    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.