Some quaternion matrix equations involving Φ-Hermicity
From MaRDI portal
Publication:5864241
DOI10.2298/FIL1916097HzbMath1499.15051MaRDI QIDQ5864241
Publication date: 3 June 2022
Published in: Filomat (Search for Journal in Brave)
Factorization of matrices (15A23) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57)
Related Items
On the general solutions to some systems of quaternion matrix equations, A system of Sylvester-type quaternion matrix equations with ten variables, Efficient iterative method for generalized Sylvester quaternion tensor equation, Direct methods onη‐Hermitian solutions of the split quaternion matrix equation (AXB,CXD)=(E,F), \( \eta \)-Hermitian solution to a system of quaternion matrix equations, Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses, A quaternion matrix equation with two different restrictions, Iterative algorithms for discrete-time periodic Sylvester matrix equations and its application in antilinear periodic system, Some new results on a system of Sylvester-type quaternion matrix equations
Cites Work
- Unnamed Item
- Unnamed Item
- 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 \(q \mapsto \hat{q}\)
- New results on condensed Cramer's rule for the general solution to some restricted quaternion matrix equations
- An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications
- Augmented second-order statistics of quaternion random signals
- Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations
- On the unitary diagonalisation of a special class of quaternion matrices
- The exact solution of a system of quaternion matrix equations involving \(\eta\)-Hermicity
- A system of real quaternion matrix equations with applications
- A simultaneous decomposition for seven matrices with applications
- Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity
- Simultaneous decomposition of quaternion matrices involving \(\eta\)-Hermicity with applications
- Constrained two-sided coupled Sylvester-type quaternion matrix equations
- Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations
- On solutions of matrix equation \(XF-AX=C\) and \(XF-A\widetilde{X}=C\) over quaternion field
- 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
- L-structured quaternion matrices and quaternion linear matrix equations
- Theη-bihermitian solution to a system of real quaternion matrix equations
- The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes
- The general $\phi$-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations
- Robust quaternion matrix completion with applications to image inpainting
- Pure PSVD approach to Sylvester-type quaternion matrix equations
- Stability of Quaternionic Linear Systems
