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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Bibliographic Details
Main Author: Strang, Gilbert (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: American Institute of Mathematical Sciences, 2013-10-16T16:24:46Z.
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Online Access:Get fulltext
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100 1 0 |a Strang, Gilbert  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Mathematics  |e contributor 
100 1 0 |a Strang, Gilbert  |e contributor 
245 0 0 |a Three steps on an open road 
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520 |a 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. 
520 |a National Science Foundation (U.S.) (Grant 1023152) 
546 |a en_US 
655 7 |a Article 
773 |t Inverse Problems and Imaging