Three steps on an open road
This note describes three recent factorizations of banded invertible infinite matrices: 1. If A has a banded inverse: A = BC with block--diagonal factors B and C. 2. Permutations factor into a shift times N<2w tridiagonal permutations. 3. A = LPU with lower triangular L, permutation P, upper tria...
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| Format: | Article |
| Language: | en_US |
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American Institute of Mathematical Sciences
2013
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| Online Access: | http://hdl.handle.net/1721.1/81407 https://orcid.org/0000-0001-7473-9287 |
| Summary: | This note describes three recent factorizations of banded invertible infinite matrices: 1. If A has a banded inverse: A = BC with block--diagonal factors B and C. 2. Permutations factor into a shift times N<2w tridiagonal permutations. 3. A = LPU with lower triangular L, permutation P, upper triangular U. We include examples and references and outlines of proofs. |
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