• UF Sparse Matrix Collection
  • Matrix group: Muite
  • Click here for a description of the Muite group.
  • Click here for a list of all matrices
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  • Matrix: Muite/Chebyshev1
  • Description: Integration matrix, Chebyshev method, 4th order semilinear initial BVP
  • download as a MATLAB mat-file, file size: 15 KB. Use UFget(1864) or UFget('Muite/Chebyshev1') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    Muite/Chebyshev1

    Muite/Chebyshev1 graph

    Matrix properties
    number of rows261
    number of columns261
    nonzeros2,319
    structural full rank?yes
    structural rank261
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetry 50%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorB. Muite
    editorT. Davis
    date2007
    kindstructural problem
    2D/3D problem?yes

    Notes:

    Chebyshev integration matrix from Benson Muite, Oxford.  Details of the  
    matrices can be found in a preprint at http://www.maths.ox.ac.uk/~muite  
    entitled "A comparison of Chebyshev methods for solving fourth-order     
    semilinear initial boundary value problems," June 2007.   These matrices 
    are very ill-conditioned, partly because of the dense rows which are hard
    to scale when coupled with the rest of the matrix.                       
    

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))1,803 2,046
    Cholesky flop count1.3e+04 1.6e+04
    nnz(L+U), no partial pivoting3,345 3,831
    nnz(V) for QR, upper bound nnz(L) for LU1,293 1,293
    nnz(R) for QR, upper bound nnz(U) for LU34,191 34,191

    Maintained by Tim Davis, last updated 04-May-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.