A system of coupled quaternion matrix equations with seven unknowns and its applications (Q2422691)

scientific article

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English	A system of coupled quaternion matrix equations with seven unknowns and its applications	scientific article

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instance of

scholarly article

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title

A system of coupled quaternion matrix equations with seven unknowns and its applications (English)

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author

Zhuo-Heng He

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published in

Advances in Applied Clifford Algebras

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publication date

20 June 2019

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zbMATH Keywords

matrix equations

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quaternion

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$\phi $-Hermitian matrix

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general solution

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solvability

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00006-019-0955-2

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cites work

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Generalization of Roth's solvability criteria to systems of matrix equations

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Roth's solvability criteria for the matrix equations $AX-\hat{X}B=C$ and $X-A\hat{X}B=C$ over the skew field of quaternions with an involutive automorphism $q \mapsto \hat{q}$

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Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving $\phi$-skew-Hermicity

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The general solution to a system of coupled Sylvester-type quaternion tensor equations involving $\eta$-Hermicity

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Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices

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A system of quaternary coupled Sylvester-type real quaternion matrix equations

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A System of Periodic Discrete-time Coupled Sylvester Quaternion Matrix Equations

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A real quaternion matrix equation with applications

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The<i>η</i>-bihermitian solution to a system of real quaternion matrix equations

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The general $\phi$-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations

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Simultaneous decomposition of quaternion matrices involving $\eta$-Hermicity with applications

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The general solutions to some systems of matrix equations

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On a solution of the quaternion matrix equation $X-A \widetilde{X} B=C$ and its application

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A new real structure-preserving quaternion QR algorithm

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Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation

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Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations

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Determinantal representations of solutions to systems of quaternion matrix equations

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Cramer's rules for Sylvester quaternion matrix equation and its special cases

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Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation

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The $\eta $-anti-Hermitian solution to some classic matrix equations

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Q4050723

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Q2877920

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Solution to a system of real quaternion matrix equations encompassing $\eta$-Hermicity

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An iterative solution to coupled quaternion matrix equations

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Condensed Cramer rule for some restricted quaternion linear equations

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Augmented second-order statistics of quaternion random signals

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The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes

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Quaternion-Valued Stochastic Gradient-Based Adaptive IIR Filtering

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On the unitary diagonalisation of a special class of quaternion matrices

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Some matrix equations with applications†

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Extreme ranks of (skew-)Hermitian solutions to a quaternion matrix equation

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$P$-(skew)symmetric common solutions to a pair of quaternion matrix equations

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Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations

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A system of real quaternion matrix equations with applications

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On Hermitian solutions of the split quaternion matrix equation $AXB+CXD=E$

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A system of generalized Sylvester quaternion matrix equations and its applications

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The exact solution of a system of quaternion matrix equations involving $\eta$-Hermicity

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Identifiers

zbMATH Open document ID

1414.15021

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DOI

10.1007/s00006-019-0955-2

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2422691