Muite/Chebyshev4
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
|
| 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.
|
