Several λ‐boundedness propositions for generalized linear methods A = (Ank), while Ankare specially fixed linear bounded operators from Banach space X into X, are presented. These results are proved using necessary and sufficient conditions for inclusion AmλX? mμX.
Apibendrinti tiesiniai metodai ir konvergavimo greitinimas
Santrauka. Straipsnyje pateiktos kelios λ – aprėžtumo teoremos apibendrintiems tiesiniams metodams A = (Ank), kur Ank yra tam tikri fiksuoti tiesiniai aprėžti operatoriai, apibrėžti Banacho erdveje X X. Teoremos įrodytos naudojantis būtinomis ir pakankamomis sąlygomis AmλX⊂ mμX.
Tammeraid, I. (2003). Generalized linear methods and convergence acceleration. Mathematical Modelling and Analysis, 8(4), 329-335. https://doi.org/10.3846/13926292.2003.9637234
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