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.