Mathematica 9 is now available

SEARCH MATHEMATICA 8 DOCUMENTATION

THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.

Mathematica > Algebraic Numbers >

Built-in Mathematica Symbol

Tutorials »|See Also »|More About »

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.

MORE INFORMATION

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.

Basic Examples (2)

Find an isolating interval of

:

Find an isolating interval of

with width less than

:

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

Properties & Relations (2)

RootIntervals FindRoot

Root Isolation

Algebraic Numbers

Polynomial Equations

New in 6.0: Symbolic Computation

New in 6

© 2013 Wolfram Research, Inc.

Ask a question about this page | Suggest an improvement | Leave a message for the team