Three steps on an open road
Name
Strang_Three-steps-on-an.pdf
Size
261.18 KB
Format
Adobe PDF
Checksum (MD5)
4b2faa7a34f3687ec65bb0fe2809e3a5
Author(s)
Strang, Gilbert
Date Issued
September 2013
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.3934/ipi.2013.7.961
