Least-squares solutions of generalized Sylvester-type quaternion matrix equations

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Hermitian, skew-Hermitian, and related matrices (15B57)

Cites Work

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Matrix-equation-based strategies for convection-diffusion equations
Special least squares solutions of the quaternion matrix equation $AXB+CXD=E$
A system of quaternary coupled Sylvester-type real quaternion matrix equations
Cross-Gramian based model reduction for data-sparse systems
Least squares Hermitian solution of the matrix equation $(AXB,CXD)=(E,F)$ with the least norm over the skew field of quaternions
A reduced order observer for descriptor systems
Solution to matrix equation $AV + BW = EVF$ and eigenstructure assignment for descriptor systems
Sylvester equations and projection-based model reduction.
Cramer's rules for Sylvester quaternion matrix equation and its special cases
Some applications of a decomposition for five quaternion matrices in control system and color image processing
Least squares pure imaginary solution and real solution of the quaternion matrix equation $A X B + C X D = E$ with the least norm
Sylvester Tikhonov-regularization methods in image restoration
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
On the solution of a Sylvester equation appearing in descriptor systems control theory
Compensating PDE actuator and sensor dynamics using Sylvester equation
L-structured quaternion matrices and quaternion linear matrix equations
Numerical Solution of Algebraic Riccati Equations
The ADI Model Problem
Computational Methods for Linear Matrix Equations
An Iterative algorithm for $\eta$-(anti)-Hermitian least-squares solutions of quaternion matrix equations
Matrix Analysis
Eigenstructure assignment by output feedback in descriptor systems
Methods for the solution ofAXD−BXC=E and its application in the numerical solution of implicit ordinary differential equations
Eigenstructure assignment and response analysis in descriptor linear systems with state feedback control
On the observer design for descriptor systems
Eigenstructure assignment in descriptor systems via proportional plus derivative state feedback
The general $\phi$-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations
Design of observers for descriptor systems
Application of ADI Iterative Methods to the Restoration of Noisy Images
Parametric approach for eigenstructure assignment in descriptor systems via output feedback
Eigenstructure assignment in descriptor systems via output feedback: A new complete parametric approach
Some new results on a system of Sylvester-type quaternion matrix equations
Pure PSVD approach to Sylvester-type quaternion matrix equations
Generalized Sylvester Equations
Coupled Sylvester-type Matrix Equations and Block Diagonalization
Approximation of Large-Scale Dynamical Systems
Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices

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