Mercurial > matrix-functions
annotate toolbox/dingdong.m @ 8:a587712dcf5f draft default tip
funm_atom.m: rename fun_atom to funm_atom
* funm_atom.m: rename fun_atom to funm_atom.
author | Antonio Pino Robles <data.script93@gmail.com> |
---|---|
date | Fri, 29 May 2015 09:48:36 +0200 |
parents | 8f23314345f4 |
children |
rev | line source |
---|---|
0
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff
changeset
|
1 function A = dingdong(n) |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff
changeset
|
2 %DINGDONG Dingdong matrix - a symmetric Hankel matrix. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff
changeset
|
3 % A = DINGDONG(N) is the symmetric N-by-N Hankel matrix with |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff
changeset
|
4 % A(i,j) = 0.5/(N-i-j+1.5). |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff
changeset
|
5 % The eigenvalues of A cluster around PI/2 and -PI/2. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff
changeset
|
6 |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff
changeset
|
7 % Invented by F.N. Ris. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff
changeset
|
8 % |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff
changeset
|
9 % Reference: |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff
changeset
|
10 % J.C. Nash, Compact Numerical Methods for Computers: Linear |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff
changeset
|
11 % Algebra and Function Minimisation, second edition, Adam Hilger, |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff
changeset
|
12 % Bristol, 1990 (Appendix 1). |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff
changeset
|
13 |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff
changeset
|
14 p= -2*(1:n) + (n+1.5); |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
diff
changeset
|
15 A = cauchy(p); |