Direct methods onη‐Hermitian solutions of the split quaternion matrix equation (AXB,CXD)=(E,F) (Q6183116)

scientific article; zbMATH DE number 7795457

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English	Direct methods on<i>η</i>‐Hermitian solutions of the split quaternion matrix equation (AXB,CXD)=(E,F)	scientific article; zbMATH DE number 7795457

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scholarly article

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title

Direct methods onη‐Hermitian solutions of the split quaternion matrix equation (AXB,CXD)=(E,F) (English)

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Mathematical Methods in the Applied Sciences

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publication date

26 January 2024

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Mathematics Subject Classification ID

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Kronecker product

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matrix equation

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split quaternion matrix

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/mma.7273

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OpenAlex ID

W3130601960

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cites work

Coupled Sylvester-type Matrix Equations and Block Diagonalization

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

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Some quaternion matrix equations involving Φ-Hermicity

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

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The matrix equation $AXB-GXB=E$ over the quaternion field

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Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations

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Cramer's rule for some quaternion matrix equations

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Determinantal representations of solutions to systems of quaternion matrix equations

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Symmetric and skew-antisymmetric solutions to systems of real quaternion matrix equations

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Best Approximate Solution of Matrix Equation AXB+CYD=E

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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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The generalized quaternion matrix equation AXB+CX⋆D=E

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L-structured matrices and linear matrix equations∗

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Solvability of $AXB - CXD = E$ in the operators algebra $B(H)$

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The skew-symmetric orthogonal solutions of the matrix equation $AX=B$

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On the explicit solutions of forms of the Sylvester and the Yakubovich matrix equations

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Least Squares Solution of Matrix Equation $AXB^* + CYD^* = E$

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Centrohermitian and skew-centrohermitian solutions to the minimum residual and matrix nearness problems of the quaternion matrix equation $(AXB,DXE) = (C,F)$

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

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Iterative algorithms for solving the matrix equation $AXB + CX^{T}D = E$

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A system of matrix equations and its applications

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Solvability conditions and general solution for mixed Sylvester equations

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Ranks and the least-norm of the general solution to a system of quaternion matrix equations

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On matrix equations $X - AXF = C$ and $X - A\overline{X}F = C$

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Solving the generalized Sylvester matrix equation $AV+BW=EVF$ via a Kronecker map

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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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L-structured quaternion matrices and quaternion linear matrix equations

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Special least squares solutions of the quaternion matrix equation $AXB+CXD=E$

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Special least squares solutions of the quaternion matrix equation $A X = B$ with applications

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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 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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Two-sided linear split quaternionic equations withnunknowns

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

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The spectral theorem in quaternions

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Quaternions and matrices of quaternions

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Q4913411

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On eigenvalues of split quaternion matrices

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On complex split quaternion matrices

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SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E42

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Rotations with unit time-like quaternions in Minkowski 3-space

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Generalized inverses. Theory and applications.

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Mathematics(1 entry)

mardi Publication:6183116

Direct methods on<i>η</i>‐Hermitian solutions of the split quaternion matrix equation (AXB,CXD)=(E,F) (Q6183116)

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Mathematics(1 entry)