most recent 30 from http://mathoverflow.net 2013-05-21T18:56:35Z http://mathoverflow.net/feeds/question/102158 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/102158/linear-optimization-and-two-sided-consttraints Ardi 2012-07-13T18:24:44Z 2012-07-17T08:37:05Z

<p>Hi,</p> <p>I am trying to minimize the following energy function subject to two-sided inequalities:</p> <p>E = x1+x2 k1 &lt;= x1 &lt;= k2 k3 &lt;= x2 &lt;= k4 k5 &lt;= x1-x2 &lt;= k6 The ki's are constants and the inequalities create a convex region.</p> <p>Is this how you turn the above problem into standard form?</p> <p>E = x1+x2 x1-x2+x3 = k6 x1-x2-x4 = k5 k1 &lt;= x1 &lt;= k2 k3 &lt;= x2 &lt;= k4</p>