Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599056 | Linear Algebra and its Applications | 2015 | 17 Pages |
Abstract
Let S∈Mn(C)S∈Mn(C) be nonsingular. A Q∈Mn(C)Q∈Mn(C) is called S orthogonal if QTSQ=SQTSQ=S. An S orthogonal H is called an S symmetry if rank(H−I)=1rank(H−I)=1. We give conditions on S so that every S orthogonal can be written as a product of S symmetries. We give conditions on S so that some S orthogonal cannot be written as a product of S symmetries. Moreover, we determine conditions on S so that there are no S symmetries.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ralph John de la Cruz, Dennis I. Merino, Agnes T. Paras,