Problems minimizing an overconstrained system

*To*: mathgroup at smc.vnet.net*Subject*: [mg80655] Problems minimizing an overconstrained system*From*: Yaroslav Bulatov <yaroslavvb at gmail.com>*Date*: Tue, 28 Aug 2007 02:11:01 -0400 (EDT)

I'm getting problems using FindMinimum when there are multiple active constraints at the minimum point. Here's a test case that demonstrates this problem FindMinimum[{Max[p[1], p[3]], p[1] + p[2] + p[3] == 1 && 1/10 <= p[3] <= 4/5 && p[1] == 4/5 && p[2] == 1/10}, {p[1], p[2], p[3]}] fails with " There are no points that satisfy the constraints", while different objective function with the same constraints works -- FindMinimum[{p[1] + p[3], p[1] + p[2] + p[3] == 1 && 1/10 <= p[3] <= 4/5 && p[1] == 4/5 && p[2] == 1/10}, {p[1], p[2], p[3]}] Is there any way around this behavior? Yaroslav