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Fast transforms: Banded matrices with banded inverses

It is unusual for both A and A(-1) to be banded—but this can be a valuable property in applications. Block-diagonal matrices F are the simplest examples; wavelet transforms are more subtle. We show that every example can be factored into A = F(1)…F(N) where N is controlled by the bandwidths of A and...

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Библиографические подробности
Главный автор: Strang, Gilbert
Формат: Artigo
Язык:Inglês
Опубликовано: National Academy of Sciences 2010
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Online-ссылка:https://ncbi.nlm.nih.gov/pmc/articles/PMC2906572/
https://ncbi.nlm.nih.gov/pubmed/20615937
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1005493107
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