diff toolbox/vand.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/vand.m	Thu May 07 18:36:24 2015 +0200
@@ -0,0 +1,29 @@
+function V = vand(m, p)
+%VAND   Vandermonde matrix.
+%       V = VAND(P), where P is a vector, produces the (primal)
+%       Vandermonde matrix based on the points P, i.e. V(i,j) = P(j)^(i-1).
+%       VAND(M,P) is a rectangular version of VAND(P) with M rows.
+%       Special case: If P is a scalar then P equally spaced points on [0,1]
+%                     are used.
+
+%       Reference:
+%       N.J. Higham, Stability analysis of algorithms for solving
+%       confluent Vandermonde-like systems, SIAM J. Matrix Anal. Appl.,
+%       11 (1990), pp. 23-41.
+
+if nargin == 1, p = m; end
+n = max(size(p));
+
+%  Handle scalar p.
+if n == 1
+   n = p;
+   p = seqa(0,1,n);
+end
+
+if nargin == 1, m = n; end
+
+p = p(:).';                    % Ensure p is a row vector.
+V = ones(m,n);
+for i=2:m
+    V(i,:) = p.*V(i-1,:);
+end