A system of quaternary coupled Sylvester-type real quaternion matrix equations
From MaRDI portal
Publication:680485
DOI10.1016/j.automatica.2017.09.008zbMath1379.93057OpenAlexW2766233463MaRDI QIDQ680485
Yang Zhang, Zhuo-Heng He, Qing-Wen Wang
Publication date: 23 January 2018
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2017.09.008
Related Items (41)
On the Hermitian and skew-Hermitian splitting-like iteration approach for solving complex continuous-time algebraic Riccati matrix equation ⋮ Solutions to the linear transpose matrix equations and their application in control ⋮ Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation ⋮ Iterative solution to a class of complex matrix equations and its application in time-varying linear system ⋮ Solutions to matrix equations \(X - AXB = CY + R\) and \(X - A\hat{X}B = CY + R\) ⋮ Determinantal representations of solutions to systems of quaternion matrix equations ⋮ Numerical algorithms for solving the least squares symmetric problem of matrix equation AXB + CXD = E ⋮ Solving and algorithm to system of quaternion Sylvester-type matrix equations with \(\ast\)-Hermicity ⋮ The least-squares solution with the least norm to a system of tensor equations over the quaternion algebra ⋮ On the general solutions to some systems of quaternion matrix equations ⋮ A system of Sylvester-type quaternion matrix equations with ten variables ⋮ Least-squares solutions of generalized Sylvester-type quaternion matrix equations ⋮ Eigenvalues of quaternion tensors with applications to color video processing ⋮ A coupled quaternion matrix equations with applications ⋮ 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 general solution to a system of linear coupled quaternion matrix equations with an application ⋮ Solving a system of two-sided Sylvester-like quaternion tensor equations ⋮ Least squares Hermitian problem of a kind of quaternion tensor equation ⋮ Real representation for solving reduced biquaternion matrix equations XF−AX=BY$$ XF- AX= BY $$ and XF−AX˜=BY$$ XF-A\tilde{X}= BY $$ ⋮ New structure-preserving algorithms of Gauss-Seidel and successive over-relaxation iteration methods for quaternion linear systems ⋮ Matrix multisplitting Picard-iterative method for solving generalized absolute value matrix equation ⋮ \( \eta \)-Hermitian solution to a system of quaternion matrix equations ⋮ 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 ⋮ Constrained two-sided coupled Sylvester-type quaternion matrix equations ⋮ 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 ⋮ The equivalence canonical form of five quaternion matrices with applications to imaging and Sylvester-type equations ⋮ Consistency of split quaternion matrix equations \(AX^{\star }-XB=CY+D\) and \(X-AX^\star B=CY+D\) ⋮ A NOTE ON SOME SYSTEMS OF GENERALIZED SYLVESTER EQUATIONS ⋮ Solutions to linear bimatrix equations with applications to pole assignment of complex-valued linear systems ⋮ On Hermitian solutions of the reduced biquaternion matrix equation (AXB,CXD) = (E,G) ⋮ A new approximation algorithm for solving generalized Lyapunov matrix equations ⋮ Pure PSVD approach to Sylvester-type quaternion matrix equations ⋮ The double-step scale splitting method for solving complex Sylvester matrix equation ⋮ The general solution to a system of coupled Sylvester-type quaternion tensor equations involving \(\eta\)-Hermicity ⋮ Algebraic conditions for the solvability to some systems of matrix equations ⋮ Determinantal representations of solutions to systems of two-sided quaternion matrix equations ⋮ Some new results on a system of Sylvester-type quaternion matrix equations
Cites Work
- Unnamed Item
- Unnamed Item
- Simultaneous solutions of matrix equations and simultaneous equivalence of matrices
- Systems of coupled generalized Sylvester 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 \(q \mapsto \hat{q}\)
- An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications
- Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra
- Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing
- A system of real quaternion matrix equations with applications
- Simultaneous decomposition of quaternion matrices involving \(\eta\)-Hermicity with applications
- A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity
- Quivers and matrix equations
- The solution of the equation \(AX + X^{\star}B =0\)
- Generalization of Roth's solvability criteria to systems of matrix equations
- Solvability conditions and general solution for mixed Sylvester equations
- A System of Periodic Discrete-time Coupled Sylvester Quaternion Matrix Equations
- Some matrix equations with applications†
- The general solutions to some systems of matrix equations
- Generalized Schur methods with condition estimators for solving the generalized Sylvester equation
- Output feedback eigenstructure assignment using two Sylvester equations
- Consistency of a pair of generalized Sylvester equations
- Right eigenvalue equation in quaternionic quantum mechanics
- The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes
- Solution to Generalized Sylvester Matrix Equations
- Coupled Sylvester-type Matrix Equations and Block Diagonalization
- A System of Matrix Equations over the Quaternion Algebra with Applications
- Stability of Quaternionic Linear Systems
- A real quaternion matrix equation with applications
- Recursive blocked algorithms for solving triangular systems—Part I
- A Pair of Mixed Generalized Sylvester Matrix Equations
- The Equations AX - YB = C and AX - XB = C in Matrices
- Quaternions and matrices of quaternions
- Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices
This page was built for publication: A system of quaternary coupled Sylvester-type real quaternion matrix equations