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- W4299810319 abstract "We consider the factorization of permutations into bandwidth 1 permutations, which are products of mutually nonadjacent simple transpositions. We exhibit an upper bound on the minimal number of such factors and thus prove a conjecture of Gilbert Strang: a banded permutation of bandwidth $w$ can be represented as the product of at most $2w-1$ permutations of bandwidth 1. An analogous result holds also for infinite and cyclically banded permutations." @default.
- W4299810319 created "2022-10-03" @default.
- W4299810319 creator A5049864711 @default.
- W4299810319 date "2010-07-11" @default.
- W4299810319 modified "2023-10-14" @default.
- W4299810319 title "Factorization of banded permutations" @default.
- W4299810319 doi "https://doi.org/10.48550/arxiv.1007.1760" @default.
- W4299810319 hasPublicationYear "2010" @default.
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