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Multiple FindRoot

  • To: mathgroup at smc.vnet.net
  • Subject: [mg109787] Multiple FindRoot
  • From: EF <he.frauendorfer at t-online.de>
  • Date: Tue, 18 May 2010 02:00:03 -0400 (EDT)

Find Lambda Values for Tan[Lambda] == -([Lambda]/h) and e.g. h = 0.5

the first 10 Lambda Values for h = 0.5 are

In[27]:=Lambda =

Out[27]= {1.837, 4.816, 7.917, 11.04, 14.17, 17.31, 20.44, 23.58, 26.72, 
29.86}

My solution requires
1)  FindRoot for a wide range of starting (ending) values
2)  Eliminate the great number of double real solutions
3)  Verify solutions, there are "some" wrong values

Is there a more direct way to the correct lambda values?


E.F.



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