Algebraic conditions for the solvability to some systems of matrix equations

Cvetković-Ilić, Dragana S.; Radenković, Jovana Nikolov; Wang, Qingwen

doi:10.1080/03081087.2019.1633993

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The General Solution To the Matrix Equation (1)1

Introduction1

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Cited by 11 publications

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“…(2) ⇔ (3): We first show that (8) holds if-and only if-( 10)-( 14) hold. It follows from (32) and ( 33) that ( 22) ⇔ (10) and R A 11 C 11 = 0 ⇔ (11). Next, we prove that C 11 L B 11 = 0 ⇔ (12).…”

Section: The General Solution To the Matrix Equation (1)mentioning

confidence: 68%

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An Exact Solution to a Quaternion Matrix Equation with an Application

et al. 2022

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In this paper, we establish the solvability conditions and the formula of the general solution to a Sylvester-like quaternion matrix equation. As an application, we give some necessary and sufficient conditions for a system of quaternion matrix equations to be consistent, and present an expression of the general solution of the system when it is solvable. We present an algorithm and an example to illustrate the main results of this paper. The findings of this paper generalize the known results in the literature.

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Section: The General Solution To the Matrix Equation (1)mentioning

confidence: 68%

“…Besides mathematics, they also have important applications in other fields, such as descriptor systems control theorem [7], neural network [8], feedback [9], and graph theory [10]. There have been a large number of papers on this topic (see, e.g., [1][2][3][4][5][11][12][13][14][15][16]). We know that the following linear matrix equation:…”

Section: Introductionmentioning

confidence: 99%