• 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/pcrystk03
  • Description: FEM CRYSTAL FREE VIBRATION STIFFNESS MATRIX
  • download as a MATLAB mat-file, file size: 665 KB. Use SJget(521) or SJget('Boeing/pcrystk03') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 590 KB.

    Boeing/pcrystk03

    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 7299 to 7304 and associated error bounds.

    Boeing/pcrystk03

    Matrix properties (click for a legend)  
    number of rows24,696
    number of columns24,696
    structural full rank?yes
    structural rank24,696
    numerical rank 7,301
    dimension of the numerical null space17,395
    numerical rank / min(size(A))0.29563
    Euclidean norm of A 77.104
    calculated singular value # 73010.0046608
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    3.5095e-010
    calculated singular value # 73025.4826e-015
    gap in the singular values at the numerical rank:
    singular value # 7301 / singular value # 7302
    8.5011e+011
    calculated condition number-2
    condestInf
    nonzeros1,751,178
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorR. Grimes
    editorT. Davis
    date1995
    kindduplicate materials problem
    2D/3D problem?yes
    SJid521
    UFid367

    Notes:

    This matrix is the nonzero pattern of Boeing/crystk03
    

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))12,803,170 9,584,163
    Cholesky flop count1.2e+010 5.7e+009
    nnz(L+U), no partial pivoting25,581,644 19,143,630
    nnz(V) for QR, upper bound nnz(L) for LU11,745,450 13,641,492
    nnz(R) for QR, upper bound nnz(U) for LU23,259,357 25,953,060

    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.