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>
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);