Matrix: MathWorks/pivtol

Description: Spline toolbox. Pivot tol 0.1 fails, needs >= 0.26. MathWorks,Inc

MathWorks/pivtol graph MathWorks/pivtol graph
(bipartite graph drawing) (graph drawing of A+A')


MathWorks/pivtol

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: MathWorks
  • Click here for a description of the MathWorks group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 3 KB. Use UFget(861) or UFget('MathWorks/pivtol') in MATLAB.
  • download in Matrix Market format, file size: 4 KB.
  • download in Rutherford/Boeing format, file size: 4 KB.

    Matrix properties
    number of rows102
    number of columns102
    nonzeros306
    structural full rank?yes
    structural rank102
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 99%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorB. Cheng
    editorT. Davis
    date2002
    kindstatistical/mathematical problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 102-by-3

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD303
    Cholesky flop count9.0e+02
    nnz(L+U), no partial pivoting, with AMD504
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD304
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD500

    SVD-based statistics:
    norm(A)1.41607
    min(svd(A))0.0129195
    cond(A)109.607
    rank(A)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/pivtol 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.