Matrix: Morandini/robot

Description: Marco Morandini, 6 gdl COMAU robot

Morandini/robot graph Morandini/robot graph
(bipartite graph drawing) (graph drawing of A+A')


Morandini/robot dmperm of Morandini/robot

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  • Matrix group: Morandini
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  • download as a MATLAB mat-file, file size: 5 KB. Use UFget(1325) or UFget('Morandini/robot') in MATLAB.
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  • download in Rutherford/Boeing format, file size: 5 KB.

    Matrix properties
    number of rows120
    number of columns120
    nonzeros870
    structural full rank?yes
    structural rank120
    # of blocks from dmperm19
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 22%
    numeric value symmetry 5%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorM. Morandini
    editorT. Davis
    date2006
    kindrobotics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,066
    Cholesky flop count1.1e+04
    nnz(L+U), no partial pivoting, with AMD2,012
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD913
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,172

    SVD-based statistics:
    norm(A)150.506
    min(svd(A))3.47849e-07
    cond(A)4.32677e+08
    rank(A)120
    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

    Morandini/robot 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.