| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4600559 | Linear Algebra and its Applications | 2013 | 19 Pages |
Abstract
For two n-by-n matrices, A,B, the product field of values is the set P(A,B)={〈Ax,x〉〈Bx,x〉:x∈Cn,||x||=1}. In this paper, we establish basic properties of the product field of values. The main results are a proof that the product field is a simply connected subset of the complex plane and a characterization of matrix pairs for which the product field has nonempty interior.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
