Padé approximant

GPTKB entity

Statements (28)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:advantage often provides better approximation than Taylor series
gptkbp:application gptkb:signal_processing
control theory
engineering
physics
continued fractions
gptkbp:canApproximate functions with poles
gptkbp:canBe analytic continuation
gptkbp:contrastsWith gptkb:Taylor_series
gptkbp:defines rational function whose power series matches a given function to the highest possible order
gptkbp:describes rational function approximation
gptkbp:field gptkb:mathematics
numerical analysis
approximation theory
gptkbp:form ratio of two polynomials
gptkbp:generalizes Taylor polynomial
https://www.w3.org/2000/01/rdf-schema#label Padé approximant
gptkbp:introducedIn 1892
gptkbp:namedAfter gptkb:Henri_Padé
gptkbp:notation [m/n] Padé approximant
gptkbp:relatedTo gptkb:Chebyshev_rational_functions
continued fraction expansion
rational interpolation
gptkbp:usedFor approximating functions
gptkbp:bfsParent gptkb:Shanks_transformation
gptkb:Generalized_continued_fraction
gptkbp:bfsLayer 8