Shanks transformation

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:appliesTo convergent sequences
divergent sequences
gptkbp:category sequence transformations
gptkbp:field gptkb:mathematics
numerical analysis
https://www.w3.org/2000/01/rdf-schema#label Shanks transformation
gptkbp:introducedIn 1955
gptkbp:inventedBy Daniel Shanks
gptkbp:mathematicalFormula S_n' = (S_{n+1} S_{n-1} - S_n^2) / (S_{n+1} + S_{n-1} - 2S_n)
gptkbp:publishedIn Journal of Mathematics and Physics
gptkbp:purpose sequence acceleration
gptkbp:relatedTo gptkb:Padé_approximant
gptkb:Aitken's_delta-squared_process
gptkbp:usedFor improving convergence of series
gptkbp:bfsParent gptkb:Samuel_David_Shanks
gptkb:Aitken's_delta-squared_process
gptkbp:bfsLayer 7