Matrix: MathWorks/Muu

Description: The MathWorks, Inc: symmetric positive definite matrix

MathWorks/Muu graph
(undirected graph drawing)


MathWorks/Muu dmperm of MathWorks/Muu

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  • download as a MATLAB mat-file, file size: 336 KB. Use UFget(1331) or UFget('MathWorks/Muu') in MATLAB.
  • download in Matrix Market format, file size: 472 KB.
  • download in Rutherford/Boeing format, file size: 304 KB.

    Matrix properties
    number of rows7,102
    number of columns7,102
    nonzeros170,134
    structural full rank?yes
    structural rank7,102
    # of blocks from dmperm2
    # strongly connected comp.2
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorB. Cheng
    editorT. Davis
    date2006
    kindstructural problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD187,090
    Cholesky flop count7.5e+06
    nnz(L+U), no partial pivoting, with AMD367,078
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD402,408
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,471,728

    SVD-based statistics:
    norm(A)0.000839895
    min(svd(A))1.09738e-05
    cond(A)76.5362
    rank(A)7,102
    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

    MathWorks/Muu 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.