| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4600433 | Linear Algebra and its Applications | 2013 | 7 Pages |
Abstract
The matrix equation XA+AXT=0, which has relevance to the study of Lie algebras, was recently studied by De Terán and Dopico (Linear Algebra Appl. 434 (2011), 44–67). They reduced the study of this equation to several special cases and produced explicit solutions in most instances. In this note we obtain an explicit solution in one of the difficult cases, for which only the dimension of the solution space and an algorithm to find a basis of this space were known previously.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
