How to speed up FindRoot with Map or MapThread
- To: mathgroup at smc.vnet.net
- Subject: [mg129355] How to speed up FindRoot with Map or MapThread
- From: o.sandig at googlemail.com
- Date: Mon, 7 Jan 2013 00:39:14 -0500 (EST)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
- Delivered-to: l-mathgroup@wolfram.com
- Delivered-to: mathgroup-newout@smc.vnet.net
- Delivered-to: mathgroup-newsend@smc.vnet.net
Hi, I would like to speed up FindRoot. In this special case I'm looking for roots of the equation sin[2*theta]+2*h*sin[theta - phi] for different h's and phi's. To do this I specify for each h the region within which the solution has to be found: X = {x_middle, x_left, x_right}, e.g.: FindRoot[sin[2*theta] + 2*h1*sin[theta - phi1] == 0 , {theta, x_middle, x_left, x_right}] That means that h is an mx1 matrix and X is an nx3 matrix (X = {x_middle, x_left, x_right}). The question: How can I use Map or MapThread to combine each element of h with the whole matrix X inside FindRoot to speed it up? Thanks for any idea.
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