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MathGroup Archive 1996

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Calculating Sums Of Roots For Trans. Functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg5498] Calculating Sums Of Roots For Trans. Functions
  • From: frankst at deakin.edu.au (Frank Stagnitti)
  • Date: Sat, 14 Dec 1996 19:26:04 -0500
  • Sender: owner-wri-mathgroup at wolfram.com

Can anyone help?

How do i calculate the first n roots of tan(z) = -z, and then sum them in
one command.

I think i need the right combinations of Findroot, Table and N/Sum commands.

Findroot and Table give me a non-unique and non-ordered set of roots e.g.

 RootTable = Table[{FindRoot[Tan[z]==-z, {z,i},
        MaxIterations ->50],i},{i,0,EndRange,Pi}]
                // TableForm


In short, i'd like a procedure/command that essentially sums the first n
(unique and ordered) roots
 of tan(z) = - z with no user intervention

 Any ideas??

thanks frank

--------------------------------------------------------------------------
Dr Frank Stagnitti
School of Computing and Mathematics, Deakin University,
P.O. Box 423, Warrnambool, Vic. 3280 AUSTRALIA
Email:  frankst at deakin.edu.au
Voice:  +61 (0)55 633 535
WWW:    http://www.cm.deakin.edu.au/~frankst

"Imagination is more important than knowledge."  (Albert Einstein)
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