Mercurial > matrix-functions
diff toolbox/moler.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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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/toolbox/moler.m Thu May 07 18:36:24 2015 +0200 @@ -0,0 +1,17 @@ +function A = moler(n, alpha) +%MOLER Moler matrix - symmetric positive definite. +% A = MOLER(N, ALPHA) is the symmetric positive definite N-by-N matrix +% U'*U where U = TRIW(N, ALPHA). +% For ALPHA = -1 (the default) A(i,j) = MIN(i,j)-2, A(i,i) = i. +% A has one small eigenvalue. + +% Nash (1990) attributes the ALPHA = -1 matrix to Moler. +% +% Reference: +% J.C. Nash, Compact Numerical Methods for Computers: Linear +% Algebra and Function Minimisation, second edition, Adam Hilger, +% Bristol, 1990 (Appendix 1). + +if nargin == 1, alpha = -1; end + +A = triw(n, alpha)'*triw(n, alpha);