Mercurial > matrix-functions
comparison toolbox/dingdong.m @ 2:c124219d7bfa draft
Re-add the 1995 toolbox after noticing the statement in the ~higham/mctoolbox/ webpage.
author | Antonio Pino Robles <data.script93@gmail.com> |
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date | Thu, 07 May 2015 18:36:24 +0200 |
parents | 8f23314345f4 |
children |
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1:e471a92d17be | 2:c124219d7bfa |
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1 function A = dingdong(n) | |
2 %DINGDONG Dingdong matrix - a symmetric Hankel matrix. | |
3 % A = DINGDONG(N) is the symmetric N-by-N Hankel matrix with | |
4 % A(i,j) = 0.5/(N-i-j+1.5). | |
5 % The eigenvalues of A cluster around PI/2 and -PI/2. | |
6 | |
7 % Invented by F.N. Ris. | |
8 % | |
9 % Reference: | |
10 % J.C. Nash, Compact Numerical Methods for Computers: Linear | |
11 % Algebra and Function Minimisation, second edition, Adam Hilger, | |
12 % Bristol, 1990 (Appendix 1). | |
13 | |
14 p= -2*(1:n) + (n+1.5); | |
15 A = cauchy(p); |