Integration matrix, Chebyshev method, 4th order semilinear initial BVP
Name Chebyshev4
Group Muite
Matrix ID 1867
Num Rows 68,121
Num Cols 68,121
Nonzeros 5,377,761
Pattern Entries 5,377,761
Kind Structural Problem
Symmetric No
Date 2007
Author B. Muite
Editor T. Davis
Structural Rank 68,121
Structural Rank Full true
Num Dmperm Blocks 1
Strongly Connect Components 1
Num Explicit Zeros 0
Pattern Symmetry 30.2%
Numeric Symmetry 0%
Cholesky Candidate no
Positive Definite no
Type real
Download MATLAB Rutherford Boeing Matrix Market
Chebyshev integration matrix from Benson Muite, Oxford.  Details of the  
matrices can be found in a preprint at  
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.