AERN-RnToRm-0.5: polynomial function enclosures (PFEs) approximating exact real functions

Portabilityportable
Stabilityexperimental
Maintainermik@konecny.aow.cz

Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.DivisionInner

Description

Internal module for Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.

Implementation of inner-rounded division applied to basic polynomial enclosures.

Synopsis

Documentation

ienclRecipPositiveSource

Arguments

:: (ERRealBase b, DomainBox box varid Int, Ord box, Show varid, DomainIntBox boxra varid (ERInterval b), DomainBoxMappable boxra boxras varid (ERInterval b) [ERInterval b]) 
=> Int

maximum polynomial degree

-> Int

maximum term count

-> EffortIndex

minimum approx degree

-> Int

degree of tau expansion

-> ((ERChebPoly box b, ERChebPoly box b), Bool) 
-> ((ERChebPoly box b, ERChebPoly box b), Bool) 

Approximate the pointwise reciprocal of a positive polynomial by another polynomial from below and from above using the tau method as described in [Mason & Handscomb 2003, p 62].