\( \eta \)-Hermitian solution to a system of quaternion matrix equations
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Publication:2210195
DOI10.1007/s40840-020-00907-wzbMath1452.15007OpenAlexW3006448356MaRDI QIDQ2210195
Publication date: 5 November 2020
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-020-00907-w
Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57)
Related Items (2)
On the general solutions to some systems of quaternion matrix equations ⋮ A quaternion matrix equation with two different restrictions
Cites Work
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- Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations
- 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 \(q \mapsto \hat{q}\)
- Special least squares solutions of the quaternion matrix equation \(AXB+CXD=E\)
- Augmented second-order statistics of quaternion random signals
- On the unitary diagonalisation of a special class of quaternion matrices
- A system of generalized Sylvester quaternion matrix equations and its applications
- A system of quaternary coupled Sylvester-type real quaternion matrix equations
- The exact solution of a system of quaternion matrix equations involving \(\eta\)-Hermicity
- A system of real quaternion matrix equations with applications
- Determinantal representations of solutions to systems of quaternion matrix equations
- Solution to a system of real quaternion matrix equations encompassing \(\eta\)-Hermicity
- A simultaneous decomposition for seven matrices with applications
- Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity
- Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations
- Simultaneous decomposition of quaternion matrices involving \(\eta\)-Hermicity with applications
- Constrained two-sided coupled Sylvester-type quaternion matrix equations
- Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field
- Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations
- Cramer's rules for Sylvester quaternion matrix equation and its special cases
- On solutions of matrix equation \(XF-AX=C\) and \(XF-A\widetilde{X}=C\) over quaternion field
- On the split quaternion matrix equation \(AX=B\)
- Real representation approach to quaternion matrix equation involving \(\varphi \)-Hermicity
- The general solution to a system of coupled Sylvester-type quaternion tensor equations involving \(\eta\)-Hermicity
- A system of coupled quaternion matrix equations with seven unknowns and its applications
- Cramer's rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations
- The \(\eta \)-anti-Hermitian solution to some classic matrix equations
- Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations
- Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation
- Theη-bihermitian solution to a system of real quaternion matrix equations
- A System of Periodic Discrete-time Coupled Sylvester Quaternion Matrix Equations
- The least squares η-Hermitian problems of quaternion matrix equation AHXA + BHYB=C
- A generalization of the complex Autonne–Takagi factorization to quaternion matrices
- The general solutions to some systems of matrix equations
- Quaternion-Valued Stochastic Gradient-Based Adaptive IIR Filtering
- The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes
- The general $\phi$-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations
- The complete equivalence canonical form of four matrices over an arbitrary division ring
- Some new results on a system of Sylvester-type quaternion matrix equations
- Pure PSVD approach to Sylvester-type quaternion matrix equations
- An iterative solution to coupled quaternion matrix equations
- A real quaternion matrix equation with applications
- Similarity of matrices in which the elements are real quaternions
- Some quaternion matrix equations involving Φ-Hermicity
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