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makematrix_dingdong

Returns the Ding Dong matrix

Calling Sequence

A = makematrix_dingdong ( n )

Parameters

n :

a 1-by-1 matrix of doubles, integer value, the size of the matrix to return

A :

a n-by-n matrix of doubles, the Ding Dong matrix

Description

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)

Examples

A = makematrix_dingdong ( 5 )

Authors

Bibliography

J.C. Nash, Compact Numerical Methods for Computers: Linear Algebra and Function Minimisation, second edition, Adam Hilger, Bristol, 1990 (Appendix 1).


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