Mercurial > matrix-functions
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> |
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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/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