IsolatingInterval

IsolatingInterval[a]

gives a rational isolating interval for the algebraic number a.

IsolatingInterval[a,dx]

gives an isolating interval of width at most dx.

Details

  • IsolatingInterval[a] gives an interval that does not contain any other root with the same minimal polynomial as a.
  • If a is complex, IsolatingInterval[a] gives a pair of Gaussian rationals defining an isolating rectangle in the complex plane.

Examples

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Basic Examples  (2)

Find an isolating interval of :

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Find an isolating interval of with width less than :

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Check that belongs to [a,b] and the width of [a,b] is less than :

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Scope  (7)

Properties & Relations  (2)

See Also

RootIntervals  FindRoot

Tutorials

Introduced in 2007
(6.0)