Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498350 | Linear Algebra and its Applications | 2005 | 13 Pages |
Abstract
Let A and B be two rotations in Rn so that B does not rotate any vector by an angle of Ï2 radians. F.G. Frobenius proved that if A commutes with the commutator [A, B] = Aâ1Bâ1AB, then A and B are commuting rotations. We prove a generalisation for almost commuting unitary matrices, giving explicit estimations of the error terms, which can be useful in numerical matrix computations.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Marcel Steiner,