| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4602419 | Linear Algebra and its Applications | 2010 | 7 Pages |
Abstract
Let AA be a positive definite operator and BB be a self-adjoint operator. We discuss the existence of positive semidefinite solutions of the operator equation∑j=1nAn-jXAj-1=Bvia an order preserving operator inequality. By using the solutions we also give concrete examples of positive semidefinite matrices.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Takayuki Furuta,