A system of matrix equations with five variables
From MaRDI portal
Publication:1732246
DOI10.1016/j.amc.2015.09.066zbMath1410.15033OpenAlexW2210480654MaRDI QIDQ1732246
Publication date: 22 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.09.066
Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57) Quaternion and other division algebras: arithmetic, zeta functions (11R52)
Related Items (7)
Several kinds of special least squares solutions to quaternion matrix equation \(AXB=C\) ⋮ A constraint system of generalized Sylvester quaternion matrix equations ⋮ Compact formula for skew-symmetric system of matrix equations ⋮ Optimization of a nonlinear Hermitian matrix expression with application ⋮ A quaternion matrix equation with two different restrictions ⋮ Least-norm of the general solution to some system of quaternion matrix equations and its determinantal representations ⋮ Explicit formulas and determinantal representation for η-skew-Hermitian solution to a system of quaternion matrix equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Denoising color images by reduced quaternion matrix singular value decomposition
- A system of matrix equations and its applications
- Inertias and ranks of some Hermitian matrix functions with applications
- On the Hermitian solutions to a system of adjointable operator equations
- Systems of coupled generalized Sylvester matrix equations
- Characterization for the general solution to a system of matrix equations with quadruple variables
- Augmented second-order statistics of quaternion random signals
- Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations
- Iterative solutions to coupled Sylvester-transpose matrix equations
- On the unitary diagonalisation of a special class of quaternion matrices
- The matrix equations \(AX=C\), \(XB=D\)
- The general coupled matrix equations over generalized bisymmetric matrices
- Explicit solution of the operator equation \(A^{*}X+X^{*}A=B\)
- A pair of simultaneous linear matrix equations \(A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2\) and a matrix programming problem
- The solutions to some operator equations
- Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing
- An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices
- The roots of a split quaternion
- On the matrix equation \(AX=B\) with applications to the generators of a controllability matrix
- Almost non-interacting control by measurement feedback
- Minimum norm regularization of descriptor systems by mixed output feedback
- The matrix equation AXB+CYD=E
- Quaternionic analyticity
- The Sylvester equation and approximate balanced reduction
- Solution to a system of real quaternion matrix equations encompassing \(\eta\)-Hermicity
- On the generalized reflexive and anti-reflexive solutions to a system of matrix equations
- Solvability of a quaternion matrix equation
- The solvability and the exact solution of a system of real quaternion matrix equations
- The solution to matrix equation \(AX+X^TC=B\)
- \(P\)-(skew)symmetric common solutions to a pair of quaternion matrix equations
- Extreme ranks of a linear quaternion matrix expression subject to triple quaternion matrix equations with applications
- Solvability conditions and general solution for mixed Sylvester equations
- On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous Sylvester Equations
- Theη-bihermitian solution to a system of real quaternion matrix equations
- Some matrix equations with applications†
- The general solutions to some systems of matrix equations
- Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations
- The Equation $AXB + CYD = E$ over a Principal Ideal Domain
- The Equations ATX\pm XTA=B
- Regularization of Singular Systems by Derivative and Proportional Output Feedback
- Right eigenvalue equation in quaternionic quantum mechanics
- A Quaternion Widely Linear Adaptive Filter
- The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes
- The matrix equationAXB+CYD=Eover a simple artinian ring
- Solution to Generalized Sylvester Matrix Equations
- Best Approximate Solution of Matrix Equation AXB+CYD=E
- The Equations AX - YB = C and AX - XB = C in Matrices
- Quaternions and matrices of quaternions
This page was built for publication: A system of matrix equations with five variables