The General Solution to a System of Linear Coupled Quaternion Matrix Equations with an Application

Liu, Long-Sheng

doi:10.1007/s00006-023-01283-x

Adv. Appl. Clifford Algebras

2023

DOI: 10.1007/s00006-023-01283-x

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The General Solution to a System of Linear Coupled Quaternion Matrix Equations with an Application

Long-Sheng Liu

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2024

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Four symmetric systems of the matrix equations with an application over the Hamilton quaternions

Liu,

Zhang,

Chang

2024

MATH

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<p>In this paper, we established some necessary and sufficient conditions for the four symmetric systems to be consistent. Moreover, we derived the expressions of their general solutions when they were solvable. As an application, we investigated the solvability conditions of matrix equations involving $ \eta $-Hermicity matrices. Finally, we presented an example to illustrate the main results of this paper.</p>

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Four symmetric systems of the matrix equations with an application over the Hamilton quaternions

Liu,

Zhang,

Chang

2024

MATH

View full text Add to dashboard Cite

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The General Solution to a System of Linear Coupled Quaternion Matrix Equations with an Application

Cited by 1 publication

References 43 publications

Four symmetric systems of the matrix equations with an application over the Hamilton quaternions

Four symmetric systems of the matrix equations with an application over the Hamilton quaternions

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