The general solutions to some systems of matrix equations
From MaRDI portal
Publication:3455663
DOI10.1080/03081087.2014.896361zbMath1334.15040OpenAlexW2043712519MaRDI QIDQ3455663
Publication date: 11 December 2015
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2014.896361
Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57)
Related Items (35)
Single step iterative method for linear system of equations with complex symmetric positive semi-definite coefficient matrices ⋮ A simple method for solving matrix equations \(AXB = D\) and \(GXH = C\) ⋮ Determinantal representations of solutions to systems of quaternion matrix equations ⋮ Algebraic conditions for the solvability of system of three linear equations in a ring ⋮ Note on the assumptions in working with generalized inverses ⋮ The \(\{P, Q, k + 1 \}\)-reflexive solution to system of matrix equations \(A X = C\), \(X B = D\) ⋮ 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 ⋮ The consistency and the general common solution to some quaternion matrix equations ⋮ A constraint system of generalized Sylvester quaternion matrix equations ⋮ A coupled quaternion matrix equations with applications ⋮ A system of coupled quaternion matrix equations with seven unknowns and its applications ⋮ The general solution to a system of linear coupled quaternion matrix equations with an application ⋮ The relaxed gradient based iterative algorithm for solving matrix equations \(A_iXB_i=F_i\) ⋮ Factorization of Generalized Theta Functions Revisited ⋮ A System of Periodic Discrete-time Coupled Sylvester Quaternion Matrix Equations ⋮ \( \eta \)-Hermitian solution to a system of quaternion matrix equations ⋮ A simultaneous decomposition for seven matrices with applications ⋮ Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations ⋮ A system of matrix equations with five variables ⋮ A system of generalized Sylvester quaternion matrix equations and its applications ⋮ Constrained two-sided coupled Sylvester-type quaternion matrix equations ⋮ The complete equivalence canonical form of four matrices over an arbitrary division ring ⋮ A partial order on the set of complex matrices with index one ⋮ A system of quaternary coupled Sylvester-type real quaternion matrix equations ⋮ Inverse problems for \((R,S)\)-symmetric matrices in structural dynamic model updating ⋮ The least square solution with the least norm to a system of quaternion matrix equations ⋮ On Hermitian solutions of the reduced biquaternion matrix equation (AXB,CXD) = (E,G) ⋮ Computing symmetric solutions of general Sylvester matrix equations via Lanczos version of biconjugate residual algorithm ⋮ 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 ⋮ A System of Matrix Equations over the Quaternion Algebra with Applications ⋮ Approximating optimal parameters for generalized preconditioned Hermitian and skew-Hermitian splitting (GPHSS) method
Cites Work
- A system of matrix equations and its applications
- The common bisymmetric nonnegative definite solutions with extreme ranks and inertias to a pair of matrix equations
- Inertias and ranks of some Hermitian matrix functions with applications
- On the Hermitian solutions to a system of adjointable operator equations
- An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications
- The \((P,Q)\)-(skew)symmetric extremal rank solutions to a system of quaternion matrix equations
- The common positive solution to adjointable operator equations with an application
- The general coupled matrix equations over generalized bisymmetric matrices
- The exact solution of a system of quaternion matrix equations involving \(\eta\)-Hermicity
- Common Hermitian and positive solutions to the adjointable operator equations \(AX = C\), \(XB = D\)
- The solutions to some operator equations
- Common Hermitian solutions to some operator equations on Hilbert \(C^{*}\)-modules
- A system of real quaternion matrix equations with applications
- Almost non-interacting control by measurement feedback
- Nonnegative-definite and positive-definite solutions to the matrix equation \(\mathbb{A}\times\mathbb{A}^*=\mathbb{B}\) -- revisited
- A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity
- The solvability and the exact solution of a system of real quaternion matrix equations
- On the generalized bi (skew-) symmetric solutions of a linear matrix equation and its procrust problems
- Solutions to optimization problems on ranks and inertias of a matrix function with applications
- On solutions of matrix equation \(XF-AX=C\) and \(XF-A\widetilde{X}=C\) over quaternion field
- Positive solutions to the equations \(AX=C\) and \(XB=D\) for Hilbert space operators
- Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations
- A new solution to the generalized Sylvester matrix equation \(AV-EVF=BW\)
- Solvability conditions and general solution for mixed Sylvester equations
- A common solution to a pair of linear matrix equations over a principal ideal domain
- The solvability of two linear matrix equations
- A New Simultaneous Decomposition of a Matrix Quaternity Over an Arbitrary Division Ring with Applications
- Theη-bihermitian solution to a system of real quaternion matrix equations
- Some matrix equations with applications†
- Nonnegative definite and positive definite solutions to the matrix equationAXA*=B
- Consistency of a pair of generalized Sylvester equations
- Solution to Generalized Sylvester Matrix Equations
- Gradient based iterative algorithms for solving a class of matrix equations
- Solution to the second-order Sylvester matrix equation MVF/sup 2/+DVF+KV=BW
- A real quaternion matrix equation with applications
- Positive and real-positive solutions to the equationaxa*=cinC*-algebras
- Positive solutions to a system of adjointable operator equations over Hilbert \(C^*\)-modules
This page was built for publication: The general solutions to some systems of matrix equations