Three steps on an open road

• 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.
• Subjects: Article
• Online Access: Get fulltext

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.
National Science Foundation (U.S.) (Grant 1023152)