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ArbTools.jl

This package implements some tools for working with rigorous numerics in Julia. It relies on the Arb C Library for all computations and uses Nemo as the basic interface between Arb and Julia.

The package adds some extra functionality to the arb type from Nemo, it defines a new type arb_series for working with Taylor series of functions and two methods, enclosemaximum for rigorously bounding the maximum value of a univariate function and isolateroots to rigorously isolate all roots of a univarate function.

This package is mainly intended to implement functionality that I need in my research but that is missing in Nemo. It should not be considered a stable package and will change as my needs change.

Installation

The package is not in the general Julia repository but can be installed through the package manager with

pkg> add https://github.com/Joel-Dahne/ArbTools.jl

To see if it (some) things work correctly you can run the tests with

pkg> test ArbTools

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