| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4603636 | Linear Algebra and its Applications | 2007 | 10 Pages |
Abstract
In this paper we present explicitly the unique positive definite solution of the symmetric word equation XBX2B3X2BX=A over 2 × 2 positive definite matrices. This word equation appeared as a counterexample to the uniqueness of solution conjecture for symmetric word equations: it has multiple positive definite solutions for certain 3 × 3 positive definite matrices A and B.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
