Matrix: Bai/rbsb480

Description: FORWARD KINEMATICS FOR THE STEWART PLATFORM OF ROBOTICS

Bai/rbsb480 graph Bai/rbsb480 graph
(bipartite graph drawing) (graph drawing of A+A')

Bai/rbsb480

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  • Matrix group: Bai
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  • download as a MATLAB mat-file, file size: 32 KB. Use UFget(330) or UFget('Bai/rbsb480') in MATLAB.
  • download in Matrix Market format, file size: 61 KB.
  • download in Rutherford/Boeing format, file size: 25 KB.

    Matrix properties
    number of rows480
    number of columns480
    nonzeros17,088
    structural full rank?yes
    structural rank480
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 8%
    numeric value symmetry 0%
    typeinteger
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorH. Ren
    editorZ. Bai, D. Day, J. Demmel, J. Dongarra
    date1993
    kindrobotics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD73,894
    Cholesky flop count1.6e+07
    nnz(L+U), no partial pivoting, with AMD147,308
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD27,183
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD48,634

    SVD-based statistics:
    norm(A)856.201
    min(svd(A))0.0714014
    cond(A)11991.4
    rank(A)480
    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/rbsb480 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.