wilkinson - Wilkinson's eigenvalue test matrix
Syntax
W = wilkinson(n)
Description
W = wilkinson(n) returns one of
J. H. Wilkinson's eigenvalue test matrices. It is a symmetric, tridiagonal
matrix with pairs of nearly, but not exactly, equal eigenvalues.
Examples
wilkinson(7)
ans =
3 1 0 0 0 0 0
1 2 1 0 0 0 0
0 1 1 1 0 0 0
0 0 1 0 1 0 0
0 0 0 1 1 1 0
0 0 0 0 1 2 1
0 0 0 0 0 1 3The most frequently used case is wilkinson(21). Its
two largest eigenvalues are both about 10.746; they agree to 14, but not to
15, decimal places.
See Also
eig, gallery, pascal
 | who, whos | | winopen |  |
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