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Re: ALL roots of non-polynomial equation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg36038] Re: ALL roots of non-polynomial equation
  • From: Selwyn Hollis <slhollis at earthlink.net>
  • Date: Tue, 13 Aug 2002 05:23:01 -0400 (EDT)
  • References: <aj7omm$2up$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Looks like we've been reinventing the wheel, folks. The package 
NumericalMath`IntervalRoots` has exactly what we need.

<<NumericalMath`IntervalRoots`

In:  IntervalNewton[Sin[3*x2] - 0.2*x, x, Interval[{0, 2}],
      10^(-12), MaxRecursion -> 20]

Out: Interval[{0, 1.337913459004121`*^-18}, {0.06666864225044185`,
       0.06666864225044247`}, {0.9903214888289147`,
       0.9903214888289159`}, {1.4814395017188728`,
       1.4814395017188753`}, {1.7387361933371692`, 1.7387361933371717`}]

In:  First /@ List @@ %

Out: {0, 0.0666686, 0.990321, 1.48144, 1.73874}


---------
Selwyn Hollis



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