The common Re-nonnegative definite and Re-positive definite solutions to the matrix equations $ A_1XA_1^\ast = C_1 $ and $ A_2XA_2^\ast = C_2 $
| Autor: | Lina Liu, Yinlan Chen |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Pure mathematics
General Mathematics re-nonnegative definite solution Positive-definite matrix Linear matrix Matrix (mathematics) matrix equation QA1-939 moore-penrose inverse Generalized singular value decomposition re-positive definite solution Moore–Penrose pseudoinverse Mathematics generalized singular value decomposition |
| Zdroj: | AIMS Mathematics, Vol 7, Iss 1, Pp 384-397 (2022) |
| ISSN: | 2473-6988 |
| Popis: | In this paper, we consider the common Re-nonnegative definite (Re-nnd) and Re-positive definite (Re-pd) solutions to a pair of linear matrix equations $ A_1XA_1^\ast = C_1, \ A_2XA_2^\ast = C_2 $ and present some necessary and sufficient conditions for their solvability as well as the explicit expressions for the general common Re-nnd and Re-pd solutions when the consistent conditions are satisfied. |
| Databáze: | OpenAIRE |
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