Three steps on an open road
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Inverse Problems and Imaging
American Institute of Mathematical Sciences
Strang, Gilbert. “Three steps on an open road.” Inverse Problems and Imaging 7, no. 3 (August 2013): 961-966. © American Institute of Mathematical Sciences
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