Three steps on an open road

Author(s)
Strang, Gilbert
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Abstract
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.
Date issued
2013-09
URI
http://hdl.handle.net/1721.1/81407
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Inverse Problems and Imaging
Publisher
American Institute of Mathematical Sciences
Citation
Strang, Gilbert. “Three steps on an open road.” Inverse Problems and Imaging 7, no. 3 (August 2013): 961-966. © American Institute of Mathematical Sciences
Version: Final published version
ISSN
1930-8337
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