Matrix: Boeing/crystk03

Description: FEM CRYSTAL FREE VIBRATION STIFFNESS MATRIX

Boeing/crystk03 graph
(undirected graph drawing)


Boeing/crystk03

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Boeing
  • Click here for a description of the Boeing group.
  • Click here for a list of all matrices
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  • download as a MATLAB mat-file, file size: 13 MB. Use UFget(352) or UFget('Boeing/crystk03') in MATLAB.
  • download in Matrix Market format, file size: 10 MB.
  • download in Rutherford/Boeing format, file size: 8 MB.

    Matrix properties
    number of rows24,696
    number of columns24,696
    nonzeros1,751,178
    structural full rank?yes
    structural rank24,696
    # of blocks from dmperm1
    # strongly connected comp.1
    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

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD12,803,170
    Cholesky flop count1.2e+10
    nnz(L+U), no partial pivoting, with AMD25,581,644
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD11,745,450
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD23,259,357

    SVD-based statistics:
    norm(A)2.43624e-10
    min(svd(A))2.72323e-28
    cond(A)8.94615e+17
    rank(A)24,690
    sprank(A)-rank(A)6
    null space dimension6
    full numerical rank?no
    singular value gap1.81043e+09

    singular values (MAT file):click here
    SVD method used:s = svd (full (A))
    status:ok

    Boeing/crystk03 svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.