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