Generalized linear methods and convergence acceleration
Several λ‐boundedness propositions for generalized linear methods A = (Ank ), while Ank are specially fixed linear bounded operators from Banach space X into X, are presented. These results are proved using necessary and sufficient conditions for inclusion Amλ X ? mμ X . Apibendrinti tiesiniai me...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2003-12-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9788 |
| Summary: | Several λ‐boundedness propositions for generalized linear methods A = (Ank ), while Ank are specially fixed linear bounded operators from Banach space X into X, are presented. These results are proved using necessary and sufficient conditions for inclusion Amλ X ? mμ X .
Apibendrinti tiesiniai metodai ir konvergavimo greitinimas
Santrauka
Straipsnyje pateiktos kelios λ – aprežtumo teoremos apibendrintiems tiesiniams metodams A = (Ank ), kur Ank yra tam tikri fiksuoti tiesiniai aprežti operatoriai, apibrežti Bana‐cho erdveje X X. Teoremos irodytos naudojantis būtinomis ir pakankamomis salygomis Amλ X ⊂ mμ X .
First Published Online: 14 Oct 2010 |
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| ISSN: | 1392-6292 1648-3510 |