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MathGroup Archive 2002

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Iterative application of FindRoot with adjusted started values

  • To: mathgroup at smc.vnet.net
  • Subject: [mg32990] Iterative application of FindRoot with adjusted started values
  • From: steger at uni-greifswald.de (Thomas Steger)
  • Date: Sat, 23 Feb 2002 02:38:09 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

I use Table[] together with FindRoot[] to repeatedly solve a system of
equations numerically. Now I would like to give the starting value for
the first calculation as prespecified while all subsequent starting
values should equal the n-1 th solution.

Here is a simple example, where the starting value is fixed for all
calculations to follow.

Clear[g1, g2]
g1 = a x + b y == c;
g2 = d x + e y == f;
Clear[a, b, c, d, e, f]
a = 0.5; b = 0.1; c = 2; d = 0.9; e = 1; f = .2;
Clear[a]
Table[FindRoot[{g1, g2}, {x, 4}, {y, -4}], {a, 0.5, 1, 0.1}]


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