Mercurial > matrix-functions

diff toolbox/lotkin.m @ 0:8f23314345f4 draft

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Create local repository for matrix toolboxes. Step #0 done.
author Antonio Pino Robles <data.script93@gmail.com>
date Wed, 06 May 2015 14:56:53 +0200
parents
children
line wrap: on
line diff
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/toolbox/lotkin.m	Wed May 06 14:56:53 2015 +0200
@@ -0,0 +1,12 @@
+function A = lotkin(n)
+%LOTKIN  Lotkin matrix.
+%        A = LOTKIN(N) is the Hilbert matrix with its first row altered to
+%        all ones.  A is unsymmetric, ill-conditioned, and has many negative
+%        eigenvalues of small magnitude.
+%        The inverse has integer entries and is known explicitly.
+
+%        Reference:
+%        M. Lotkin, A set of test matrices, MTAC, 9 (1955), pp. 153-161.
+
+A = hilb(n);
+A(1,:) = ones(1,n);