A quaternion matrix equation with two different restrictions (Q2025760)

scientific article; zbMATH DE number 7348538

Language	Label	Description	Also known as
English	A quaternion matrix equation with two different restrictions	scientific article; zbMATH DE number 7348538

Statements

instance of

scholarly article

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title

A quaternion matrix equation with two different restrictions (English)

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Advances in Applied Clifford Algebras

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publication date

17 May 2021

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zbMATH Keywords

matrix equation

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quaternion algebra

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matrix decomposition

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solvability

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general solution

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s00006-021-01122-x

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cites work

On the solutions of two systems of quaternion 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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Algebraic conditions for the solvability to some systems of matrix equations

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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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Pure PSVD approach to Sylvester-type quaternion matrix equations

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

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Some quaternion matrix equations involving Φ-Hermicity

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A simultaneous decomposition for three quaternion tensors with applications in color video signal processing

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

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On the general solutions to some systems of quaternion matrix equations

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The complete equivalence canonical form of four matrices over an arbitrary division ring

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A simultaneous decomposition for seven matrices with applications

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A real quaternion matrix equation with applications

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Theη-bihermitian solution to a system of real quaternion matrix equations

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

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A canonical form for pencils of matrices with applications to asymptotic linear programs

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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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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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Cramer's rules of $\eta $-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations

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Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations

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Determinantal representations of the quaternion core inverse and its generalizations

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

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Consistency of split quaternion matrix equations $AX^{\star }-XB=CY+D$ and $X-AX^\star B=CY+D$

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On the split quaternion matrix equation $AX=B$

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Q5215561

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Real representation approach to quaternion matrix equation involving $\varphi $-Hermicity

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$ \eta $-Hermitian solution to a system of quaternion matrix equations

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A system of matrix equations with five variables

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Topics in quaternion linear algebra

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Explicit solutions to the quaternion matrix equationsX−AXF=CandX−A[Xtilde]F=C

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Cramer's rule for a system of quaternion matrix equations with applications

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

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Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations

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The general solution to a system of real quaternion matrix equations

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A system of real quaternion matrix equations with applications

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An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications

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A New Simultaneous Decomposition of a Matrix Quaternity Over an Arbitrary Division Ring with Applications

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

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Least squares solution of the quaternion matrix equation with the least norm

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Least squares Hermitian solution of the matrix equation $(AXB,CXD)=(E,F)$ with the least norm over the skew field of quaternions

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The matrix nearness problem associated with the quaternion matrix equation $AXA^H+BYB^H=C$

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On solutions of the quaternion matrix equation $AX=B$ and their applications in color image restoration

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Identifiers

zbMATH Open document ID

1464.15022

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Mathematics Subject Classification ID

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10.1007/S00006-021-01122-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:2025760