We present necessary and sufficient conditions for the existence of a positive solution to the system of adjointable operator equations We also derive a representation for a general positive solution to this system when the solvability conditions are satisfied. The results of this paper extend some
Common hermitian and positive solutions to the adjointable operator equations ,
โ Scribed by Qingxiang Xu
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 153 KB
- Volume
- 429
- Category
- Article
- ISSN
- 0024-3795
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๐ SIMILAR VOLUMES
A simple representation of the general rank-constrained Hermitian nonnegative-definite (positive-definite) solution to the matrix equation AXA \* = B is derived. As medium steps, the general Hermitian solution and the general Hermitian nonnegative-definite (positive-definite) solution to the matrix
We give necessaxy and sufficient conditions for the existence of a common nonnegativedefinite (positive-definite) solution to the pair of matrix equations AXA\* = BB\* and CXC\* = DD\*, and derive a representation of the general common nonnegative-definite (positive-definite) solution to these two e