• 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/crystk01
  • Description: FEM CRYSTAL FREE VIBRATION STIFFNESS MATRIX
  • download as a MATLAB mat-file, file size: 2 MB. Use SJget(88) or SJget('Boeing/crystk01') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Boeing/crystk01

    Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

    Boeing/crystk01

    Matrix properties (click for a legend)  
    number of rows4,875
    number of columns4,875
    structural full rank?yes
    structural rank4,875
    numerical rank 4,869
    dimension of the numerical null space6
    numerical rank / min(size(A))0.99877
    Euclidean norm of A 3.4743e-010
    calculated singular value # 48692.3615e-016
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    2.5203e-022
    calculated singular value # 48701.0082e-025
    gap in the singular values at the numerical rank:
    singular value # 4869 / singular value # 4870
    2.3423e+009
    calculated condition number1.7343e+016
    condest4.088e+016
    nonzeros315,891
    # 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
    kindmaterials problem
    2D/3D problem?yes
    SJid88
    UFid350

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))960,811 1,011,036
    Cholesky flop count2.6e+008 2.8e+008
    nnz(L+U), no partial pivoting1,916,747 2,017,197
    nnz(V) for QR, upper bound nnz(L) for LU1,067,304 1,224,939
    nnz(R) for QR, upper bound nnz(U) for LU2,148,267 2,336,646

    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.