Matrix: Bai/af23560

Description: NACA 0012 AIRFOIL M=0.8, EIGENVALUE CALCULATION

Bai/af23560 graph Bai/af23560 graph
(bipartite graph drawing) (graph drawing of A+A')


Bai/af23560

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  • Matrix group: Bai
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  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(291) or UFget('Bai/af23560') in MATLAB.
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  • download in Rutherford/Boeing format, file size: 3 MB.

    Matrix properties
    number of rows23,560
    number of columns23,560
    nonzeros460,598
    structural full rank?yes
    structural rank23,560
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries23,658
    nonzero pattern symmetry 100%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Mahajan
    editorZ. Bai, D. Day, J. Demmel, J. Dongarra
    date1991
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD4,188,143
    Cholesky flop count1.3e+09
    nnz(L+U), no partial pivoting, with AMD8,352,726
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD5,826,584
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD10,916,614

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 23658 explicit zero entries.

    SVD-based statistics:
    norm(A)645.74
    min(svd(A))0.0324654
    cond(A)19890.1
    rank(A)23,560
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    Bai/af23560 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.