Výsledky vyhledávání - "Positive definite solution"

Akademický článek

On positive definite solutions of the matrix equation $ X-\sum_{i = 1}^{m}A_{i}^{\ast}X^{-p_{i}}A_{i} = Q $

Autor: Changzhou Li, Chao Yuan, Shiliang Chen

Publikováno v: AIMS Mathematics, Vol 9, Iss 9, Pp 25532-25544 (2024)

In this paper, we used the outstanding properties of the Thompson metric to conclusively demonstrate the existence of a unique positive definite solution for the nonlinear matrix equation $ X-\sum_{i = 1}^{m}A_{i}^{\ast}X^{-p_{i}}A_{i} = Q $ without

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Akademický článek

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: Yinlan Chen, Lina Liu

Publikováno v: AIMS Mathematics, Vol 7, Iss 1, Pp 384-397 (2022)

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 f

Externí odkaz: https://doaj.org/article/68daf659a092498493db3119598a78b1

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Akademický článek

A unified treatment for the restricted solutions of the matrix equation $AXB=C$

Autor: Jiao Xu, Hairui Zhang, Lina Liu, Huiting Zhang, Yongxin Yuan

Publikováno v: AIMS Mathematics, Vol 5, Iss 6, Pp 6594-6608 (2020)

In this paper, the Hermitian, skew-Hermitian, Re-nonnegative definite, Re-positive definite, Re-nonnegative definite least-rank and Re-positive definite least-rank solutions of the matrix equation $AXB= C$ are considered. The necessary and sufficient

Externí odkaz: https://doaj.org/article/da0bcfd3e6304e54a3dcb65e2615bd33

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