Matrix: Boeing/nasa4704

Description: STRUCTURE FROM NASA LANGLEY, 4704 DEGREES OF FREEDOM

Boeing/nasa4704 graph
(undirected graph drawing)


Boeing/nasa4704

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  • Matrix group: Boeing
  • Click here for a description of the Boeing group.
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  • download as a MATLAB mat-file, file size: 63 KB. Use UFget(365) or UFget('Boeing/nasa4704') in MATLAB.
  • download in Matrix Market format, file size: 112 KB.
  • download in Rutherford/Boeing format, file size: 53 KB.

    Matrix properties
    number of rows4,704
    number of columns4,704
    nonzeros104,756
    structural full rank?yes
    structural rank4,704
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorR. Grimes
    editorT. Davis
    date1995
    kindduplicate structural problem
    2D/3D problem?yes

    Notes:

    Boeing/nasa4704 is the nonzero pattern of Nasa/nasa4704.
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD283,225
    Cholesky flop count3.7e+07
    nnz(L+U), no partial pivoting, with AMD561,746
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD671,166
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,320,652

    SVD-based statistics:
    norm(A)27.0805
    min(svd(A))0
    cond(A)Inf
    rank(A)2,264
    sprank(A)-rank(A)2,440
    null space dimension2,440
    full numerical rank?no
    singular value gap2.33125e+11

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

    Boeing/nasa4704 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.