Returns the Ding Dong matrix
A = makematrix_dingdong ( n )
a 1-by-1 matrix of doubles, integer value, the size of the matrix to return
a n-by-n matrix of doubles, the Ding Dong matrix
Returns the Ding Dong matrix of size n
"It is very stable under inversion by elimination methods. Its eigenvalues have the property of clustering near ±p/2."
For i=1,2,...,n and j=1,2,...,n, we have :
A(i,j) = 0.5 / (n-i-j+3/2)
J.C. Nash, Compact Numerical Methods for Computers: Linear Algebra and Function Minimisation, second edition, Adam Hilger, Bristol, 1990 (Appendix 1).