Some new results on a system of Sylvester-type quaternion matrix equations (Q5012481)

scientific article; zbMATH DE number 7433001

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English	Some new results on a system of Sylvester-type quaternion matrix equations	scientific article; zbMATH DE number 7433001

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instance of

scholarly article

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title

Some new results on a system of Sylvester-type quaternion matrix equations (English)

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author

Zhuo-Heng He

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published in

Linear and Multilinear Algebra

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publication date

24 November 2021

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zbMATH Keywords

Sylvester generalized equation

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quaternion

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$\eta$-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/10.1080/03081087.2019.1704213

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cites work

The Equations AX - YB = C and AX - XB = C in Matrices

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The matrix equation $AX-YB=C$

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On the matrix equations $AX - XB = C$ and $AX - YB = C$

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The matrix equation AXB+CYD=E

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A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity

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On the solution of a Sylvester equation appearing in descriptor systems control theory

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Static Output Feedback Stabilization using Invariant Subspaces and Sylvester Equations

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Coupled Sylvester-type Matrix Equations and Block Diagonalization

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Local quaternion Fourier transform and color image texture analysis

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Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing

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Q2877920

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

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A system of real quaternion matrix equations with applications

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Constrained two-sided coupled Sylvester-type quaternion matrix equations

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Re-nnd SOLUTIONS OF THE MATRIX EQUATION AXB=C

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Positive and real-positive solutions to the equationaxa*=cinC*-algebras

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Algebraic conditions for the solvability to some systems of matrix equations

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Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations

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The double-step scale splitting method for solving complex Sylvester matrix equation

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The solution of the equation $AX + X^{\star}B =0$

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Some quaternion matrix equations involving Φ-Hermicity

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Pure PSVD approach to Sylvester-type quaternion matrix equations

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

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A simultaneous decomposition for seven matrices with applications

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

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

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

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Solvability conditions and general solution for mixed Sylvester equations

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Consistency of a pair of generalized Sylvester equations

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Q3598097

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The *congruence class of the solutions of some matrix equations

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A new solution to the generalized Sylvester matrix equation $AV-EVF=BW$

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

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Augmented second-order statistics of quaternion random signals

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On the unitary diagonalisation of a special class of quaternion matrices

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The general solutions to some systems of matrix equations

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Some matrix equations with applications†

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Q4050723

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

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Identifiers

zbMATH Open document ID

1481.15015

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DOI

10.1080/03081087.2019.1704213

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5012481